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</ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Videz" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Videz</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sl.wikipedia.org&uselang=sl" class=""><span>Denarni prispevki</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Registracija&returnto=Mersennovo+%C5%A1tevilo" title="Predlagamo vam, da si ustvarite račun in se prijavite, vendar to ni obvezno." class=""><span>Ustvari račun</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Posebno:Prijava&returnto=Mersennovo+%C5%A1tevilo" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o" class=""><span>Prijava</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Več možnosti" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Osebna orodja" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" 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da si ustvarite račun in se prijavite, vendar to ni obvezno."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Ustvari račun</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Posebno:Prijava&returnto=Mersennovo+%C5%A1tevilo" title="Prijava je zaželena, vendar ni obvezna [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prijava</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Strani za neprijavljene urejevalce <a href="/wiki/Pomo%C4%8D:Uvod" aria-label="Več o urejanju"><span>več o tem</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Posebno:MojiPrispevki" title="Seznam urejanj s tega IP-naslova [y]" accesskey="y"><span>Prispevki</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Posebno:MojPogovor" title="Pogovor o urejanjih s tega IP-naslova [n]" accesskey="n"><span>Pogovorna stran</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Vsebina" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Vsebina</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skrij</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Uvod</div> </a> </li> <li id="toc-Značilnosti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Značilnosti"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Značilnosti</span> </div> </a> <ul id="toc-Značilnosti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Seznam_znanih_Mersennovih_praštevil" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Seznam_znanih_Mersennovih_praštevil"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Seznam znanih Mersennovih praštevil</span> </div> </a> <ul id="toc-Seznam_znanih_Mersennovih_praštevil-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-2305843009213693951" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#2305843009213693951"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>2305843009213693951</span> </div> </a> <ul id="toc-2305843009213693951-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Neskončni_verižni_ulomek" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Neskončni_verižni_ulomek"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Neskončni verižni ulomek</span> </div> </a> <ul id="toc-Neskončni_verižni_ulomek-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Glej_tudi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Glej_tudi"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Glej tudi</span> </div> </a> <ul id="toc-Glej_tudi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sklici" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sklici"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Sklici</span> </div> </a> <ul id="toc-Sklici-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Viri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Viri"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Viri</span> </div> </a> <ul id="toc-Viri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zunanje_povezave" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zunanje_povezave"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Zunanje povezave</span> </div> </a> <ul id="toc-Zunanje_povezave-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Vsebina" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Vklopi kazalo vsebine" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Vklopi kazalo vsebine</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Mersennovo število</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="P9jdi na članek v drugem jeziku. Na voljo v 56 jezikih." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-56" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">56 jezikov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D8%B1%D8%B3%D9%8A%D9%86_%D8%A7%D9%84%D8%A3%D9%88%D9%84%D9%8A" title="عدد مرسين الأولي – arabščina" lang="ar" hreflang="ar" data-title="عدد مرسين الأولي" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Mersenn_%C9%99d%C9%99di" title="Mersenn ədədi – azerbajdžanščina" lang="az" hreflang="az" data-title="Mersenn ədədi" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanščina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%BD%D0%B0_%D0%9C%D0%B5%D1%80%D1%81%D0%B5%D0%BD" title="Число на Мерсен – bolgarščina" lang="bg" hreflang="bg" data-title="Число на Мерсен" data-language-autonym="Български" data-language-local-name="bolgarščina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%B8%E0%A7%87%E0%A6%A8_%E0%A6%AE%E0%A7%8C%E0%A6%B2%E0%A6%BF%E0%A6%95" title="মার্সেন মৌলিক – bengalščina" lang="bn" hreflang="bn" data-title="মার্সেন মৌলিক" data-language-autonym="বাংলা" data-language-local-name="bengalščina" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Mersenneovi_prosti_brojevi" title="Mersenneovi prosti brojevi – bosanščina" lang="bs" hreflang="bs" data-title="Mersenneovi prosti brojevi" data-language-autonym="Bosanski" data-language-local-name="bosanščina" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_primer_de_Mersenne" title="Nombre primer de Mersenne – katalonščina" lang="ca" hreflang="ca" data-title="Nombre primer de Mersenne" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%D8%A7%D8%B1%DB%95%DB%8C_%D8%B3%DB%95%D8%B1%DB%95%D8%AA%D8%A7%DB%8C%DB%8C%DB%8C_%D9%85%DB%8E%D8%B1%D8%B3%DB%8E%D9%86" title="ژمارەی سەرەتاییی مێرسێن – osrednja kurdščina" lang="ckb" hreflang="ckb" data-title="ژمارەی سەرەتاییی مێرسێن" data-language-autonym="کوردی" data-language-local-name="osrednja kurdščina" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Mersennovo_prvo%C4%8D%C3%ADslo" title="Mersennovo prvočíslo – češčina" lang="cs" hreflang="cs" data-title="Mersennovo prvočíslo" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Mersenne-primtal" title="Mersenne-primtal – danščina" lang="da" hreflang="da" data-title="Mersenne-primtal" data-language-autonym="Dansk" data-language-local-name="danščina" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Mersenne-Primzahl" title="Mersenne-Primzahl – nemščina" lang="de" hreflang="de" data-title="Mersenne-Primzahl" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A0%CF%81%CF%8E%CF%84%CE%BF%CF%82_%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82_%CE%9C%CE%B5%CF%81%CF%83%CE%AD%CE%BD" title="Πρώτος αριθμός Μερσέν – grščina" lang="el" hreflang="el" data-title="Πρώτος αριθμός Μερσέν" data-language-autonym="Ελληνικά" data-language-local-name="grščina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/N%C3%B9mer_pr%C3%ACm_ed_Mersenne" title="Nùmer prìm ed Mersenne – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Nùmer prìm ed Mersenne" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mersenne_prime" title="Mersenne prime – angleščina" lang="en" hreflang="en" data-title="Mersenne prime" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Primo_de_Mersenne" title="Primo de Mersenne – esperanto" lang="eo" hreflang="eo" data-title="Primo de Mersenne" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_primo_de_Mersenne" title="Número primo de Mersenne – španščina" lang="es" hreflang="es" data-title="Número primo de Mersenne" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Mersenne%27i_arvud" title="Mersenne'i arvud – estonščina" lang="et" hreflang="et" data-title="Mersenne'i arvud" data-language-autonym="Eesti" data-language-local-name="estonščina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%A7%D9%88%D9%84_%D9%85%D8%B1%D8%B3%D9%86" title="عدد اول مرسن – perzijščina" lang="fa" hreflang="fa" data-title="عدد اول مرسن" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Mersennen_alkuluku" title="Mersennen alkuluku – finščina" lang="fi" hreflang="fi" data-title="Mersennen alkuluku" data-language-autonym="Suomi" data-language-local-name="finščina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_de_Mersenne_premier" title="Nombre de Mersenne premier – francoščina" lang="fr" hreflang="fr" data-title="Nombre de Mersenne premier" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_primo_de_Mersenne" title="Número primo de Mersenne – galicijščina" lang="gl" hreflang="gl" data-title="Número primo de Mersenne" data-language-autonym="Galego" data-language-local-name="galicijščina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%9E%D7%A8%D7%A1%D7%9F" title="מספר מרסן – hebrejščina" lang="he" hreflang="he" data-title="מספר מרסן" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Mersenneovi_brojevi" title="Mersenneovi brojevi – hrvaščina" lang="hr" hreflang="hr" data-title="Mersenneovi brojevi" data-language-autonym="Hrvatski" data-language-local-name="hrvaščina" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Nonm_premye_Mersenne" title="Nonm premye Mersenne – haitijska kreolščina" lang="ht" hreflang="ht" data-title="Nonm premye Mersenne" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitijska kreolščina" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Mersenne-pr%C3%ADmek" title="Mersenne-prímek – madžarščina" lang="hu" hreflang="hu" data-title="Mersenne-prímek" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A5%D6%80%D5%BD%D5%A5%D5%B6%D5%AB_%D5%A9%D5%AB%D5%BE" title="Մերսենի թիվ – armenščina" lang="hy" hreflang="hy" data-title="Մերսենի թիվ" data-language-autonym="Հայերեն" data-language-local-name="armenščina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D5%84%D5%A5%D6%80%D5%BD%D5%A7%D5%B6%D5%AB_%D5%A9%D5%AB%D6%82" title="Մերսէնի թիւ – Western Armenian" lang="hyw" hreflang="hyw" data-title="Մերսէնի թիւ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_prima_Mersenne" title="Bilangan prima Mersenne – indonezijščina" lang="id" hreflang="id" data-title="Bilangan prima Mersenne" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijščina" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Mersenne-frumt%C3%B6lur" title="Mersenne-frumtölur – islandščina" lang="is" hreflang="is" data-title="Mersenne-frumtölur" data-language-autonym="Íslenska" data-language-local-name="islandščina" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_primo_di_Mersenne" title="Numero primo di Mersenne – italijanščina" lang="it" hreflang="it" data-title="Numero primo di Mersenne" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A9%94%EB%A5%B4%EC%84%BC_%EC%86%8C%EC%88%98" title="메르센 소수 – korejščina" lang="ko" hreflang="ko" data-title="메르센 소수" data-language-autonym="한국어" data-language-local-name="korejščina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Mersenne-Primzuel" title="Mersenne-Primzuel – luksemburščina" lang="lb" hreflang="lb" data-title="Mersenne-Primzuel" data-language-autonym="Lëtzebuergesch" data-language-local-name="luksemburščina" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Numer_primm_de_Mersenne" title="Numer primm de Mersenne – Lombard" lang="lmo" hreflang="lmo" data-title="Numer primm de Mersenne" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Merseno_skai%C4%8Diai" title="Merseno skaičiai – litovščina" lang="lt" hreflang="lt" data-title="Merseno skaičiai" data-language-autonym="Lietuvių" data-language-local-name="litovščina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B5%D1%80%D1%81%D0%B5%D0%BD%D0%BE%D0%B2%D0%B8_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%B8_%D0%B1%D1%80%D0%BE%D0%B5%D0%B2%D0%B8" title="Мерсенови прости броеви – makedonščina" lang="mk" hreflang="mk" data-title="Мерсенови прости броеви" data-language-autonym="Македонски" data-language-local-name="makedonščina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AE%E0%B5%86%E0%B4%B4%E0%B5%8D%E0%B4%B8%E0%B5%86%E0%B5%BB_%E0%B4%85%E0%B4%AD%E0%B4%BE%E0%B4%9C%E0%B5%8D%E0%B4%AF%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="മെഴ്സെൻ അഭാജ്യസംഖ്യ – malajalamščina" lang="ml" hreflang="ml" data-title="മെഴ്സെൻ അഭാജ്യസംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="malajalamščina" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Mersennepriemgetal" title="Mersennepriemgetal – nizozemščina" lang="nl" hreflang="nl" data-title="Mersennepriemgetal" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Mersenne-primtall" title="Mersenne-primtall – knjižna norveščina" lang="nb" hreflang="nb" data-title="Mersenne-primtall" data-language-autonym="Norsk bokmål" data-language-local-name="knjižna norveščina" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczby_Mersenne%E2%80%99a" title="Liczby Mersenne’a – poljščina" lang="pl" hreflang="pl" data-title="Liczby Mersenne’a" data-language-autonym="Polski" data-language-local-name="poljščina" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Primo_de_Mersenne" title="Primo de Mersenne – portugalščina" lang="pt" hreflang="pt" data-title="Primo de Mersenne" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Prim_Mersenne" title="Prim Mersenne – romunščina" lang="ro" hreflang="ro" data-title="Prim Mersenne" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q70894304 mw-list-item" title=""><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D1%81%D1%82%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE_%D0%9C%D0%B5%D1%80%D1%81%D0%B5%D0%BD%D0%BD%D0%B0" title="Простое число Мерсенна – ruščina" lang="ru" hreflang="ru" data-title="Простое число Мерсенна" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/N%C3%B9mmuru_primu_di_Mersenne" title="Nùmmuru primu di Mersenne – sicilijanščina" lang="scn" hreflang="scn" data-title="Nùmmuru primu di Mersenne" data-language-autonym="Sicilianu" data-language-local-name="sicilijanščina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Mersenneovi_prosti_brojevi" title="Mersenneovi prosti brojevi – srbohrvaščina" lang="sh" hreflang="sh" data-title="Mersenneovi prosti brojevi" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbohrvaščina" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mersenne_prime" title="Mersenne prime – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mersenne prime" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Mersennovo_prvo%C4%8D%C3%ADslo" title="Mersennovo prvočíslo – slovaščina" lang="sk" hreflang="sk" data-title="Mersennovo prvočíslo" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B5%D1%80%D1%81%D0%B5%D0%BD%D0%BE%D0%B2%D0%B8_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%B8_%D0%B1%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%B8" title="Мерсенови прости бројеви – srbščina" lang="sr" hreflang="sr" data-title="Мерсенови прости бројеви" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Mersenneprimtal" title="Mersenneprimtal – švedščina" lang="sv" hreflang="sv" data-title="Mersenneprimtal" data-language-autonym="Svenska" data-language-local-name="švedščina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%86%E0%AE%B0%E0%AF%8D%E0%AE%9A%E0%AF%86%E0%AE%A9%E0%AF%8D_%E0%AE%AA%E0%AE%95%E0%AE%BE%E0%AE%A4%E0%AF%8D%E0%AE%A4%E0%AE%A9%E0%AE%BF" title="மெர்சென் பகாத்தனி – tamilščina" lang="ta" hreflang="ta" data-title="மெர்சென் பகாத்தனி" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99%E0%B9%80%E0%B8%89%E0%B8%9E%E0%B8%B2%E0%B8%B0%E0%B9%81%E0%B8%A1%E0%B8%A3%E0%B9%8C%E0%B9%81%E0%B8%8B%E0%B8%99" title="จำนวนเฉพาะแมร์แซน – tajščina" lang="th" hreflang="th" data-title="จำนวนเฉพาะแมร์แซน" data-language-autonym="ไทย" data-language-local-name="tajščina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Mersenne_say%C4%B1s%C4%B1" title="Mersenne sayısı – turščina" lang="tr" hreflang="tr" data-title="Mersenne sayısı" data-language-autonym="Türkçe" data-language-local-name="turščina" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%B1%D8%B3%D9%86_%D9%85%D9%81%D8%B1%D8%AF_%D8%B9%D8%AF%D8%AF" title="مرسن مفرد عدد – urdujščina" lang="ur" hreflang="ur" data-title="مرسن مفرد عدد" data-language-autonym="اردو" data-language-local-name="urdujščina" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_nguy%C3%AAn_t%E1%BB%91_Mersenne" title="Số nguyên tố Mersenne – vietnamščina" lang="vi" hreflang="vi" data-title="Số nguyên tố Mersenne" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamščina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%A2%85%E6%A3%AE%E7%B4%A0%E6%95%B0" title="梅森素数 – wu-kitajščina" lang="wuu" hreflang="wuu" data-title="梅森素数" data-language-autonym="吴语" data-language-local-name="wu-kitajščina" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%A2%85%E6%A3%AE%E7%B4%A0%E6%95%B0" title="梅森素数 – kitajščina" lang="zh" hreflang="zh" data-title="梅森素数" data-language-autonym="中文" data-language-local-name="kitajščina" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%A2%85%E6%A3%AE%E8%B3%AA%E6%95%B8" title="梅森質數 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="梅森質數" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%A2%85%E6%A3%AE%E8%B3%AA%E6%95%B8" title="梅森質數 – kantonščina" lang="yue" hreflang="yue" data-title="梅森質數" data-language-autonym="粵語" data-language-local-name="kantonščina" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q186875#sitelinks-wikipedia" title="Uredi medjezikovne povezave" class="wbc-editpage">Uredi povezave</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Imenski prostori"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Mersennovo_%C5%A1tevilo" title="Ogled vsebinske strani [c]" accesskey="c"><span>Stran</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pogovor:Mersennovo_%C5%A1tevilo&action=edit&redlink=1" rel="discussion" class="new" title="Pogovor o vsebinski strani (stran ne obstaja) [t]" accesskey="t"><span>Pogovor</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Spremeni različico jezika" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">slovenščina</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Pogledi"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Mersennovo_%C5%A1tevilo"><span>Preberi</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit" title="Uredite to stran [v]" accesskey="v"><span>Uredi stran</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit" title="Uredi izvorno kodo te strani [e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=history" title="Prejšnje redakcije te strani [h]" accesskey="h"><span>Zgodovina</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Orodja" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Orodja</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Orodja</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skrij</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Več možnosti" > <div class="vector-menu-heading"> Dejanja </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Mersennovo_%C5%A1tevilo"><span>Preberi</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit" title="Uredite to stran [v]" accesskey="v"><span>Uredi stran</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit" title="Uredi izvorno kodo te strani [e]" accesskey="e"><span>Uredi kodo</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=history"><span>Zgodovina</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Splošno </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Posebno:KajSePovezujeSem/Mersennovo_%C5%A1tevilo" title="Seznam vseh strani, ki se povezujejo sem [j]" accesskey="j"><span>Kaj se povezuje sem</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Posebno:RecentChangesLinked/Mersennovo_%C5%A1tevilo" rel="nofollow" title="Zadnje spremembe na straneh, s katerimi se povezuje ta stran [k]" accesskey="k"><span>Povezane spremembe</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Posebno:PosebneStrani" title="Seznam vseh posebnih strani [q]" accesskey="q"><span>Posebne strani</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&oldid=5990857" title="Trajna povezava na to redakcijo strani"><span>Trajna povezava</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=info" title="Več informacij o tej strani"><span>Podatki o strani</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Posebno:Navedi&page=Mersennovo_%C5%A1tevilo&id=5990857&wpFormIdentifier=titleform" title="Informacije o tem, kako navajati to stran"><span>Navedba članka</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Posebno:UrlShortener&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FMersennovo_%25C5%25A1tevilo"><span>Pridobi skrajšani URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Posebno:QrCode&url=https%3A%2F%2Fsl.wikipedia.org%2Fwiki%2FMersennovo_%25C5%25A1tevilo"><span>Prenesi kodo QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Tiskanje/izvoz </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Posebno:Book&bookcmd=book_creator&referer=Mersennovo+%C5%A1tevilo"><span>Ustvari e-knjigo</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Posebno:DownloadAsPdf&page=Mersennovo_%C5%A1tevilo&action=show-download-screen"><span>Prenesi kot PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&printable=yes" title="Različica te strani za tisk [p]" accesskey="p"><span>Različica za tisk</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> V drugih projektih </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Mersenne_prime_numbers" hreflang="en"><span>Wikimedijina zbirka</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q186875" title="Povezava na ustrezni predmet v podatkovni shrambi [g]" accesskey="g"><span>Predmet v Wikipodatkih</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Orodja strani"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Videz"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Videz</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">prestavi v stransko letvico</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Iz Wikipedije, proste enciklopedije</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"><p><b>Mersennovo število</b> (tudi <b>Evklid-Mersennovo število</b>) je <a href="/wiki/Naravno_%C5%A1tevilo" title="Naravno število">naravno število</a> oblike: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}\equiv 2^{n}-1,\qquad (n>0)\!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>≡</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo>,</mo> <mspace width="2em" /> <mo stretchy="false">(</mo> <mi>n</mi> <mo>></mo> <mn>0</mn> <mo stretchy="false">)</mo> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}\equiv 2^{n}-1,\qquad (n>0)\!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48f59150479ab523a0014e409ce1eb4dcce274b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:26.746ex; height:2.843ex;" alt="{\displaystyle M_{n}\equiv 2^{n}-1,\qquad (n>0)\!\,.}"></span></dd></dl> <p><a href="/wiki/Marin_Mersenne" title="Marin Mersenne">Mersenne</a> je poskušal odkriti, katera števila takšne oblike so <a href="/wiki/Pra%C5%A1tevilo" title="Praštevilo">praštevila</a>. <b>Mersennova praštevila</b> so v tesni povezavi s <a href="/wiki/Popolno_%C5%A1tevilo" title="Popolno število">popolnimi števili</a>. Trenutno (november 2024) je po vrsti znanih 44 Mersennovih praštevil za <i>n</i> enak (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A000043" class="extiw" title="oeis:A000043">A000043</a></span>): </p> <dl><dd><a href="/wiki/2_(%C5%A1tevilo)" title="2 (število)">2</a>, <a href="/wiki/3_(%C5%A1tevilo)" title="3 (število)">3</a>, <a href="/wiki/5_(%C5%A1tevilo)" title="5 (število)">5</a>, <a href="/wiki/7_(%C5%A1tevilo)" title="7 (število)">7</a>, <a href="/wiki/13_(%C5%A1tevilo)" title="13 (število)">13</a>, <a href="/wiki/17_(%C5%A1tevilo)" title="17 (število)">17</a>, <a href="/wiki/19_(%C5%A1tevilo)" title="19 (število)">19</a>, <a href="/wiki/31_(%C5%A1tevilo)" title="31 (število)">31</a>, <a href="/wiki/61_(%C5%A1tevilo)" title="61 (število)">61</a>, <a href="/wiki/89_(%C5%A1tevilo)" title="89 (število)">89</a>, <a href="/wiki/107_(%C5%A1tevilo)" title="107 (število)">107</a>, <a href="/wiki/127_(%C5%A1tevilo)" title="127 (število)">127</a>, <a href="/w/index.php?title=521_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="521 (število) (stran ne obstaja)">521</a>, <a href="/w/index.php?title=607_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="607 (število) (stran ne obstaja)">607</a>, <a href="/w/index.php?title=1279_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="1279 (število) (stran ne obstaja)">1279</a>, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11.213, 19.937, 21.701, 23.209, 44.497, 86.243, 110.503, 132.049, 216.091, 756.839, 859.433, 1.257.787, 1.398.269, 2.976.221, 3.021.377, 6.972.593, 13.466.917, 20.996.011, 24.036.583, 25.964.951, 30.402.457 in 32.582.657.</dd></dl> <p>in še 4 Mersennova praštevila za <i>n</i> enak: </p> <dl><dd>37.156.667, 42.643.801, 43.112.609 in 57.885.161.</dd></dl> <p>Ni pa znano ali obstaja še kakšno Mersennovo praštevilo, ki je manjše od 45., oziroma med zadnjimi štirimi. </p><p>Velja domnevna ocena za gostoto porazdelitve Mersennovih praštevil z <a href="/wiki/Eksponent" class="mw-redirect" title="Eksponent">eksponentom</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p<x\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo><</mo> <mi>x</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p<x\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9243657de630ee15aa58bb5edd63c202f1343b9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:6.074ex; height:2.176ex;" alt="{\displaystyle p<x\,}"></span>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle e^{\gamma }\log(\log x)/\log 2\!\,,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>γ</mi> </mrow> </msup> <mi>log</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>log</mi> <mo>⁡</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>log</mi> <mo>⁡</mo> <mn>2</mn> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e^{\gamma }\log(\log x)/\log 2\!\,,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1cea950a42fdfbb2260a6b992431371537ecdf4f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.783ex; height:2.843ex;" alt="{\displaystyle e^{\gamma }\log(\log x)/\log 2\!\,,}"></span></dd></dl> <p>kjer je γ <a href="/wiki/Euler-Mascheronijeva_konstanta" title="Euler-Mascheronijeva konstanta">Euler-Mascheronijeva</a> <a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">konstanta</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Značilnosti"><span id="Zna.C4.8Dilnosti"></span>Značilnosti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=1" title="Uredi razdelek: Značilnosti" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=1" title="Urejanje izvorne kode razdelka: Značilnosti"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Enakost: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{ab}-1=(2^{a}-1)\left(1+2^{a}+2^{2a}+2^{3a}+\cdots +2^{(b-1)a}\right)\!\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mi>b</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo>=</mo> <mo stretchy="false">(</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>+</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msup> <mo>+</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>a</mi> </mrow> </msup> <mo>+</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> <mi>a</mi> </mrow> </msup> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mi>a</mi> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{ab}-1=(2^{a}-1)\left(1+2^{a}+2^{2a}+2^{3a}+\cdots +2^{(b-1)a}\right)\!\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/241458f88f9816a6ca639a643769bf500e28f7e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:54.184ex; height:4.843ex;" alt="{\displaystyle 2^{ab}-1=(2^{a}-1)\left(1+2^{a}+2^{2a}+2^{3a}+\cdots +2^{(b-1)a}\right)\!\,}"></span></dd></dl> <p>kaže, da je <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8656f32ad5c50e679b491b361a423727491496a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.473ex; height:2.509ex;" alt="{\displaystyle M_{n}}"></span> lahko praštevilo le, če je tudi <i>n</i> praštevilo. Praštevilskost <i>n</i> je nujen, ne pa tudi zadosten pogoj, da je <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8656f32ad5c50e679b491b361a423727491496a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.473ex; height:2.509ex;" alt="{\displaystyle M_{n}}"></span> praštevilo. To dejstvo zelo poenostavlja iskanje Mersennovih praštevil. Obratna izjava, da je <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8656f32ad5c50e679b491b361a423727491496a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.473ex; height:2.509ex;" alt="{\displaystyle M_{n}}"></span> nujno praštevilo, če je <i>n</i> praštevilo, pa ne velja. Najmanjši protiprimer je <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{11}-1=2047=23\cdot 89}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msup> <mo>−</mo> <mn>1</mn> <mo>=</mo> <mn>2047</mn> <mo>=</mo> <mn>23</mn> <mo>⋅</mo> <mn>89</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{11}-1=2047=23\cdot 89}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/22abb856c4990fa75710faf67f09f3247eec78bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:24.217ex; height:2.843ex;" alt="{\displaystyle 2^{11}-1=2047=23\cdot 89}"></span>, ki je <a href="/wiki/Sestavljeno_%C5%A1tevilo" title="Sestavljeno število">sestavljeno število</a>. Prva druga praštevila, za katera <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8656f32ad5c50e679b491b361a423727491496a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.473ex; height:2.509ex;" alt="{\displaystyle M_{n}}"></span> ni praštevilo, so (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A054723" class="extiw" title="oeis:A054723">A054723</a></span>): </p> <dl><dd>11, 23, 29, 37, 41, 43, 47, 53, 59, 67, 71, 73, 79, 83, 97, 101, 103, 109, 113, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, ...</dd></dl> <p>Ni znano ali je takšnih števil neskončno mnogo. Ta praštevila si sledijo po vrsti, (11 je peto praštevilo, 23 deveto, itd.): (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A135980" class="extiw" title="oeis:A135980">A135980</a></span>): </p> <dl><dd>5, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, ...</dd></dl> <p><a href="/wiki/Vsota" title="Vsota">Vsota</a> <a href="/w/index.php?title=Neskon%C4%8Dna_vrsta&action=edit&redlink=1" class="new" title="Neskončna vrsta (stran ne obstaja)">neskončne</a> <a href="/wiki/Vrsta_(matematika)" title="Vrsta (matematika)">vrste</a> <a href="/wiki/Obratna_vrednost" class="mw-redirect" title="Obratna vrednost">obratnih vrednosti</a> Mersennovih praštevil konvergira in je enaka <a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">konstanti</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}\sum _{n=1}^{\infty }{\frac {1}{M_{n}}}&={\frac {1}{3}}+{\frac {1}{7}}+{\frac {1}{31}}+{\frac {1}{127}}+{\frac {1}{8191}}+{\frac {1}{131071}}+{\frac {1}{524287}}+{\frac {1}{2147483647}}+{\frac {1}{2305843009213693951}}+\ldots \\&=0{,}5164541789407\ldots \!\,,\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mfrac> </mrow> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>7</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>31</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>127</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>8191</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>131071</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>524287</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2147483647</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2305843009213693951</mn> </mfrac> </mrow> <mo>+</mo> <mo>…</mo> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>=</mo> <mn>0,516</mn> <mn>4541789407</mn> <mo>…</mo> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>,</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}\sum _{n=1}^{\infty }{\frac {1}{M_{n}}}&={\frac {1}{3}}+{\frac {1}{7}}+{\frac {1}{31}}+{\frac {1}{127}}+{\frac {1}{8191}}+{\frac {1}{131071}}+{\frac {1}{524287}}+{\frac {1}{2147483647}}+{\frac {1}{2305843009213693951}}+\ldots \\&=0{,}5164541789407\ldots \!\,,\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1c2f0e24eb78422a97cc81a3d8591f7a052c5b0a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.338ex; width:108.16ex; height:9.843ex;" alt="{\displaystyle {\begin{aligned}\sum _{n=1}^{\infty }{\frac {1}{M_{n}}}&={\frac {1}{3}}+{\frac {1}{7}}+{\frac {1}{31}}+{\frac {1}{127}}+{\frac {1}{8191}}+{\frac {1}{131071}}+{\frac {1}{524287}}+{\frac {1}{2147483647}}+{\frac {1}{2305843009213693951}}+\ldots \\&=0{,}5164541789407\ldots \!\,,\end{aligned}}}"></span> (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A173898" class="extiw" title="oeis:A173898">A173898</a></span>).</dd></dl> <p>Za prvih 100 števk konstante zadostuje prvih enajst Mersennovih praštevil. </p> <div class="mw-heading mw-heading2"><h2 id="Seznam_znanih_Mersennovih_praštevil"><span id="Seznam_znanih_Mersennovih_pra.C5.A1tevil"></span>Seznam znanih Mersennovih praštevil</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=2" title="Uredi razdelek: Seznam znanih Mersennovih praštevil" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=2" title="Urejanje izvorne kode razdelka: Seznam znanih Mersennovih praštevil"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Razpredelnica podaja vsa do sedaj znana Mersennova praštevila (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A000668" class="extiw" title="oeis:A000668">A000668</a></span>): </p> <table class="wikitable"> <tbody><tr> <th># </th> <th><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/205e33e6845813cc72ca346b896a7945f90ca373" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.782ex; height:1.676ex;" alt="{\displaystyle n\,}"></span> </th> <th><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9748c39270dd394d43853cfb650a67651d7c68cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.86ex; height:2.509ex;" alt="{\displaystyle M_{n}\,}"></span> </th> <th>št. števk v <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M_{n}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{n}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9748c39270dd394d43853cfb650a67651d7c68cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.86ex; height:2.509ex;" alt="{\displaystyle M_{n}\,}"></span> </th> <th>datum odkritja </th> <th>odkritelj </th> <th>metoda </th></tr> <tr> <td align="right">1 </td> <td align="right">2 </td> <td align="right"><a href="/wiki/3_(%C5%A1tevilo)" title="3 (število)">3</a> </td> <td align="right">1 </td> <td>okoli 430 pr. n. št. </td> <td><a href="/w/index.php?title=Gr%C5%A1ka_matematika&action=edit&redlink=1" class="new" title="Grška matematika (stran ne obstaja)">starogrški matematiki</a><sup id="cite_ref-isthe_1-0" class="reference"><a href="#cite_note-isthe-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </td> <td>  </td></tr> <tr> <td align="right">2 </td> <td align="right">3 </td> <td align="right"><a href="/wiki/7_(%C5%A1tevilo)" title="7 (število)">7</a> </td> <td align="right">1 </td> <td>okoli 430 pr. n. št. </td> <td>starogrški matematiki<sup id="cite_ref-isthe_1-1" class="reference"><a href="#cite_note-isthe-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </td> <td>  </td></tr> <tr> <td align="right">3 </td> <td align="right">5 </td> <td align="right"><a href="/wiki/31_(%C5%A1tevilo)" title="31 (število)">31</a> </td> <td align="right">2 </td> <td>okoli 300 pr. n. št. </td> <td>starogrški matematiki<sup id="cite_ref-Euclid_2-0" class="reference"><a href="#cite_note-Euclid-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </td> <td>  </td></tr> <tr> <td align="right">4 </td> <td align="right">7 </td> <td align="right"><a href="/wiki/127_(%C5%A1tevilo)" title="127 (število)">127</a> </td> <td align="right">3 </td> <td>okoli 300 pr. n. št. </td> <td>starogrški matematiki<sup id="cite_ref-Euclid_2-1" class="reference"><a href="#cite_note-Euclid-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </td> <td>  </td></tr> <tr> <td align="right">5 </td> <td align="right">13 </td> <td align="right"><a href="/w/index.php?title=8191_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="8191 (število) (stran ne obstaja)">8191</a> </td> <td align="right">4 </td> <td>1456 </td> <td><i>neznani</i> <sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Poskusno_deljenje&action=edit&redlink=1" class="new" title="Poskusno deljenje (stran ne obstaja)">poskusno deljenje</a> </td></tr> <tr> <td align="right">6 </td> <td align="right">17 </td> <td align="right"><a href="/w/index.php?title=131071_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="131071 (število) (stran ne obstaja)">131071</a> </td> <td align="right">6 </td> <td>1588 </td> <td><a href="/wiki/Pietro_Antonio_Cataldi" title="Pietro Antonio Cataldi">Cataldi</a> </td> <td>poskusno deljenje<sup id="cite_ref-#1_4-0" class="reference"><a href="#cite_note-#1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td align="right">7 </td> <td align="right">19 </td> <td align="right"><a href="/w/index.php?title=524287_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="524287 (število) (stran ne obstaja)">524287</a> </td> <td align="right">6 </td> <td>1588 </td> <td>Cataldi </td> <td>poskusno deljenje<sup id="cite_ref-#1_4-1" class="reference"><a href="#cite_note-#1-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td align="right">8 </td> <td align="right">31 </td> <td align="right"><a href="/w/index.php?title=2147483647_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="2147483647 (število) (stran ne obstaja)">2147483647</a> </td> <td align="right">10 </td> <td>1772 </td> <td><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </td> <td>izboljšano poskusno deljenje<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td align="right">9 </td> <td align="right">61 </td> <td align="right"><a href="/w/index.php?title=2305843009213693951_(%C5%A1tevilo)&action=edit&redlink=1" class="new" title="2305843009213693951 (število) (stran ne obstaja)">2305843009213693951</a> </td> <td align="right">19 </td> <td>november 1883<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/wiki/Ivan_Mihejevi%C4%8D_Pervu%C5%A1in" title="Ivan Mihejevič Pervušin">Pervušin</a> </td> <td><a href="/w/index.php?title=Lucasovo_zaporedje&action=edit&redlink=1" class="new" title="Lucasovo zaporedje (stran ne obstaja)">Lucasova zaporedja</a> </td></tr> <tr> <td align="right">10 </td> <td align="right">89 </td> <td align="right">618970019642...137449562111 </td> <td align="right">27 </td> <td>junij 1911<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Ralph_Ernest_Powers&action=edit&redlink=1" class="new" title="Ralph Ernest Powers (stran ne obstaja)">Powers</a> </td> <td>Lucasova zaporedja </td></tr> <tr> <td align="right">11 </td> <td align="right">107 </td> <td align="right">162259276829...578010288127 </td> <td align="right">33 </td> <td>1. junij 1914<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td> <td>Powers<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </td> <td>Lucasova zaporedja </td></tr> <tr> <td align="right">12 </td> <td align="right">127 </td> <td align="right">170141183460...715884105727 </td> <td align="right">39 </td> <td>10. januar 1876<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=%C3%89douard_Lucas&action=edit&redlink=1" class="new" title="Édouard Lucas (stran ne obstaja)">Lucas</a> </td> <td>Lucasova zaporedja </td></tr> <tr> <td align="right">13 </td> <td align="right">521 </td> <td align="right">686479766013...291115057151 </td> <td align="right">157 </td> <td>30. januar 1952<sup id="cite_ref-autogenerated4_15-0" class="reference"><a href="#cite_note-autogenerated4-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Raphael_Mitchel_Robinson&action=edit&redlink=1" class="new" title="Raphael Mitchel Robinson (stran ne obstaja)">Robinson</a> </td> <td><a href="/w/index.php?title=Lucas-Lehmerjev_test_pra%C5%A1tevilskosti&action=edit&redlink=1" class="new" title="Lucas-Lehmerjev test praštevilskosti (stran ne obstaja)">LLT</a> / <a href="/wiki/Ra%C4%8Dunalnik" title="Računalnik">računalnik</a> <a href="/w/index.php?title=SWAC_(ra%C4%8Dunalnik)&action=edit&redlink=1" class="new" title="SWAC (računalnik) (stran ne obstaja)">SWAC</a> </td></tr> <tr> <td align="right">14 </td> <td align="right">607 </td> <td align="right">531137992816...219031728127 </td> <td align="right">183 </td> <td>30. januar 1952<sup id="cite_ref-autogenerated4_15-1" class="reference"><a href="#cite_note-autogenerated4-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </td> <td>Robinson </td> <td>LLT / SWAC </td></tr> <tr> <td align="right">15 </td> <td align="right">1279 </td> <td align="right">104079321946...703168729087 </td> <td align="right">386 </td> <td>25. junij 1952<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </td> <td>Robinson </td> <td>LLT / SWAC </td></tr> <tr> <td align="right">16 </td> <td align="right">2203 </td> <td align="right">147597991521...686697771007 </td> <td align="right">664 </td> <td>7. oktober 1952<sup id="cite_ref-autogenerated2_17-0" class="reference"><a href="#cite_note-autogenerated2-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </td> <td>Robinson </td> <td>LLT / SWAC </td></tr> <tr> <td align="right">17 </td> <td align="right">2281 </td> <td align="right">446087557183...418132836351 </td> <td align="right">687 </td> <td>9. oktober 1952<sup id="cite_ref-autogenerated2_17-1" class="reference"><a href="#cite_note-autogenerated2-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> </td> <td>Robinson </td> <td>LLT / SWAC </td></tr> <tr> <td align="right">18 </td> <td align="right">3217 </td> <td align="right">259117086013...362909315071 </td> <td align="right">969 </td> <td>8. september 1957<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Hans_Ivar_Riesel&action=edit&redlink=1" class="new" title="Hans Ivar Riesel (stran ne obstaja)">Riesel</a> </td> <td>LLT / računalnik <a href="/w/index.php?title=BESK&action=edit&redlink=1" class="new" title="BESK (stran ne obstaja)">BESK</a> </td></tr> <tr> <td align="right">19 </td> <td align="right">4253 </td> <td align="right">190797007524...815350484991 </td> <td align="right">1281 </td> <td>3. november 1961<sup id="cite_ref-Hurwitz_and_Selfridge_1961_19-0" class="reference"><a href="#cite_note-Hurwitz_and_Selfridge_1961-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-autogenerated5_20-0" class="reference"><a href="#cite_note-autogenerated5-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Alexander_Hurwitz&action=edit&redlink=1" class="new" title="Alexander Hurwitz (stran ne obstaja)">Hurwitz</a> </td> <td>LLT / računalnik <a href="/w/index.php?title=IBM_7090&action=edit&redlink=1" class="new" title="IBM 7090 (stran ne obstaja)">IBM 7090</a> </td></tr> <tr> <td align="right">20 </td> <td align="right">4423 </td> <td align="right">285542542228...902608580607 </td> <td align="right">1332 </td> <td>3. november 1961<sup id="cite_ref-Hurwitz_and_Selfridge_1961_19-1" class="reference"><a href="#cite_note-Hurwitz_and_Selfridge_1961-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-autogenerated5_20-1" class="reference"><a href="#cite_note-autogenerated5-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </td> <td>Hurwitz </td> <td>LLT / IBM 7090 </td></tr> <tr> <td align="right">21 </td> <td align="right">9689 </td> <td align="right">478220278805...826225754111 </td> <td align="right">2917 </td> <td>11. maj 1963<sup id="cite_ref-autogenerated3_21-0" class="reference"><a href="#cite_note-autogenerated3-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Donald_Bruce_Gillies&action=edit&redlink=1" class="new" title="Donald Bruce Gillies (stran ne obstaja)">Gillies</a> </td> <td>LLT / <a href="/wiki/Superra%C4%8Dunalnik" title="Superračunalnik">superračunalnik</a> <a href="/w/index.php?title=ILLIAC_II&action=edit&redlink=1" class="new" title="ILLIAC II (stran ne obstaja)">ILLIAC II</a> </td></tr> <tr> <td align="right">22 </td> <td align="right">9941 </td> <td align="right">346088282490...883789463551 </td> <td align="right">2993 </td> <td>16. maj 1963<sup id="cite_ref-autogenerated3_21-1" class="reference"><a href="#cite_note-autogenerated3-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </td> <td>Gillies </td> <td>LLT / ILLIAC II </td></tr> <tr> <td align="right">23 </td> <td align="right">11.213 </td> <td align="right">281411201369...087696392191 </td> <td align="right">3376 </td> <td>2. junij 1963<sup id="cite_ref-autogenerated3_21-2" class="reference"><a href="#cite_note-autogenerated3-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </td> <td>Gillies </td> <td>LLT / ILLIAC II </td></tr> <tr> <td align="right">24 </td> <td align="right">19.937 </td> <td align="right">431542479738...030968041471 </td> <td align="right">6002 </td> <td>4. marec 1971<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Bryant_Tuckerman&action=edit&redlink=1" class="new" title="Bryant Tuckerman (stran ne obstaja)">Tuckerman</a> </td> <td>LLT / računalnik <a href="/w/index.php?title=IBM_System/360&action=edit&redlink=1" class="new" title="IBM System/360 (stran ne obstaja)">IBM 360</a>/91 </td></tr> <tr> <td align="right">25 </td> <td align="right">21.701 </td> <td align="right">448679166119...353511882751 </td> <td align="right">6533 </td> <td>30. oktober 1978<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Landon_Curt_Noll&action=edit&redlink=1" class="new" title="Landon Curt Noll (stran ne obstaja)">Noll</a>, Nickel </td> <td>LLT / superračunalnik <a href="/w/index.php?title=CDC_Cyber&action=edit&redlink=1" class="new" title="CDC Cyber (stran ne obstaja)">CDC Cyber</a> 174 </td></tr> <tr> <td align="right">26 </td> <td align="right">23.209 </td> <td align="right">402874115778...523779264511 </td> <td align="right">6987 </td> <td>9. februar 1979<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </td> <td>Noll </td> <td>LLT / CDC Cyber 174 </td></tr> <tr> <td align="right">27 </td> <td align="right">44.497 </td> <td align="right">854509824303...961011228671 </td> <td align="right">13.395 </td> <td>8. april 1979<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Harry_Nelson&action=edit&redlink=1" class="new" title="Harry Nelson (stran ne obstaja)">Nelson</a>, <a href="/w/index.php?title=David_Slowinski&action=edit&redlink=1" class="new" title="David Slowinski (stran ne obstaja)">Slowinski</a> </td> <td>LLT / superračunalnik <a href="/w/index.php?title=Cray_1&action=edit&redlink=1" class="new" title="Cray 1 (stran ne obstaja)">Cray 1</a> </td></tr> <tr> <td align="right">28 </td> <td align="right">86.243 </td> <td align="right">536927995502...709433438207 </td> <td align="right">25.962 </td> <td>25. september 1982 </td> <td>Slowinski </td> <td>LLT / Cray 1 </td></tr> <tr> <td align="right">29 </td> <td align="right">110.503 </td> <td align="right">521928313341...083465515007 </td> <td align="right">33.265 </td> <td>28. januar 1988<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> </td> <td><a href="/w/index.php?title=Walter_N._Colquitt&action=edit&redlink=1" class="new" title="Walter N. Colquitt (stran ne obstaja)">Colquitt</a>, <a href="/w/index.php?title=Luther_Welsh&action=edit&redlink=1" class="new" title="Luther Welsh (stran ne obstaja)">Welsh</a> </td> <td>LLT / superračunalnik <a href="/w/index.php?title=Arhitektura_NEC_SX&action=edit&redlink=1" class="new" title="Arhitektura NEC SX (stran ne obstaja)">NEC SX-2</a><sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td align="right">30 </td> <td align="right">132.049 </td> <td align="right">512740276269...455730061311 </td> <td align="right">39.751 </td> <td>19. september 1983<sup id="cite_ref-isthe_1-2" class="reference"><a href="#cite_note-isthe-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> </td> <td>Slowinski </td> <td>LLT / superračunalnik <a href="/w/index.php?title=Cray_X-MP&action=edit&redlink=1" class="new" title="Cray X-MP (stran ne obstaja)">Cray X-MP</a> </td></tr> <tr> <td align="right">31 </td> <td align="right">216.091 </td> <td align="right">746093103064...103815528447 </td> <td align="right">65.050 </td> <td>1. september 1985<sup id="cite_ref-isthe_1-3" class="reference"><a href="#cite_note-isthe-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> </td> <td>Slowinski </td> <td>LLT / Cray X-MP/24 </td></tr> <tr> <td align="right">32 </td> <td align="right">756.839 </td> <td align="right">174135906820...328544677887 </td> <td align="right">227.832 </td> <td>19. februar 1992 </td> <td>Slowinski, <a href="/w/index.php?title=Paul_Gage&action=edit&redlink=1" class="new" title="Paul Gage (stran ne obstaja)">Gage</a> </td> <td>superračunalnik <a href="/w/index.php?title=Cray-2&action=edit&redlink=1" class="new" title="Cray-2 (stran ne obstaja)">Cray-2</a> v <a href="/w/index.php?title=Harwell_Lab&action=edit&redlink=1" class="new" title="Harwell Lab (stran ne obstaja)">Harwell Lab</a><sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td align="right">33 </td> <td align="right">859.433 </td> <td align="right">129498125604...243500142591 </td> <td align="right">258.716 </td> <td>4. januar 1994<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup> </td> <td>Slowinski, Gage </td> <td>LLT / superračunalnik <a href="/w/index.php?title=Cray_C90&action=edit&redlink=1" class="new" title="Cray C90 (stran ne obstaja)">Cray C90</a> </td></tr> <tr> <td align="right">34 </td> <td align="right">1.257.787 </td> <td align="right">412245773621...976089366527 </td> <td align="right">378.632 </td> <td>3. september 1996<sup id="cite_ref-37" class="reference"><a href="#cite_note-37"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup> </td> <td>Slowinski, Gage<sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / superračunalnik <a href="/w/index.php?title=Cray_T90&action=edit&redlink=1" class="new" title="Cray T90 (stran ne obstaja)">Cray T94</a> </td></tr> <tr> <td align="right">35 </td> <td align="right">1.398.269 </td> <td align="right">814717564412...868451315711 </td> <td align="right">420.921 </td> <td>13. november 1996 </td> <td><a href="/w/index.php?title=Great_Internet_Mersenne_Prime_Search&action=edit&redlink=1" class="new" title="Great Internet Mersenne Prime Search (stran ne obstaja)">GIMPS</a> / Joel Armengaud<sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / progam <a href="/w/index.php?title=Prime95&action=edit&redlink=1" class="new" title="Prime95 (stran ne obstaja)">Prime95</a> – 90 MHz <a href="/w/index.php?title=Pentium&action=edit&redlink=1" class="new" title="Pentium (stran ne obstaja)">Pentium</a> PC </td></tr> <tr> <td align="right">36 </td> <td align="right">2.976.221 </td> <td align="right">623340076248...743729201151 </td> <td align="right">895.932 </td> <td>24. avgust 1997 </td> <td>GIMPS / Gordon Spence<sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 100 MHz Pentium PC </td></tr> <tr> <td align="right">37 </td> <td align="right">3.021.377 </td> <td align="right">127411683030...973024694271 </td> <td align="right">909.526 </td> <td>27. januar 1998 </td> <td>GIMPS / Roland Clarkson<sup id="cite_ref-41" class="reference"><a href="#cite_note-41"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 200 MHz Pentium PC </td></tr> <tr> <td align="right">38 </td> <td align="right">6.972.593 </td> <td align="right">437075744127...142924193791 </td> <td align="right">2.098.960 </td> <td>1. junij 1999 </td> <td>GIMPS / Nayan Hajratwala<sup id="cite_ref-42" class="reference"><a href="#cite_note-42"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 350 MHz <a href="/w/index.php?title=Pentium_II&action=edit&redlink=1" class="new" title="Pentium II (stran ne obstaja)">Pentium II</a> <a href="/w/index.php?title=IBM_Aptiva&action=edit&redlink=1" class="new" title="IBM Aptiva (stran ne obstaja)">IBM Aptiva</a> </td></tr> <tr> <td align="right">39 </td> <td align="right">13.466.917 </td> <td align="right">924947738006...470256259071 </td> <td align="right">4.053.946 </td> <td>14. november 2001 </td> <td>GIMPS / Michael Cameron<sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 800 MHz <a href="/w/index.php?title=Athlon_Thunderbird&action=edit&redlink=1" class="new" title="Athlon Thunderbird (stran ne obstaja)">Athlon T-Bird</a> </td></tr> <tr> <td align="right">40 </td> <td align="right">20.996.011 </td> <td align="right">125976895450...762855682047 </td> <td align="right">6.320.430 </td> <td>17. november 2003 </td> <td>GIMPS / Michael Shafer<sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 2 GHz <a href="/w/index.php?title=Dell_Dimension&action=edit&redlink=1" class="new" title="Dell Dimension (stran ne obstaja)">Dell Dimension</a> </td></tr> <tr> <td align="right">41 </td> <td align="right">24.036.583 </td> <td align="right">299410429404...882733969407 </td> <td align="right">7.235.733 </td> <td>15. maj 2004 </td> <td>GIMPS / Josh Findley<sup id="cite_ref-45" class="reference"><a href="#cite_note-45"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 2.4 GHz <a href="/w/index.php?title=Pentium_4&action=edit&redlink=1" class="new" title="Pentium 4 (stran ne obstaja)">Pentium 4</a> PC </td></tr> <tr> <td align="right">42 </td> <td align="right">25.964.951 </td> <td align="right">122164630061...280577077247 </td> <td align="right">7.816.230 </td> <td>18. februar 2005 </td> <td>GIMPS / Martin Nowak<sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 2.4 GHz Pentium 4 PC </td></tr> <tr> <td align="right">43 </td> <td align="right">30.402.457 </td> <td align="right">315416475618...411652943871 </td> <td align="right">9.152.052 </td> <td>15. december 2005 </td> <td>GIMPS / <a href="/w/index.php?title=Curtis_Cooper&action=edit&redlink=1" class="new" title="Curtis Cooper (stran ne obstaja)">Cooper</a>, <a href="/w/index.php?title=Steven_Boone&action=edit&redlink=1" class="new" title="Steven Boone (stran ne obstaja)">Boone</a><sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 2 GHz Pentium 4 PC </td></tr> <tr> <td align="right">44 </td> <td align="right">32.582.657 </td> <td align="right">124575026015...154053967871 </td> <td align="right">9.808.358 </td> <td>4. september 2006 </td> <td>GIMPS / Cooper, Boone<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 3 GHz Pentium 4 PC </td></tr> <tr> <td align="right">45<span class="reference"><sup id="ref_unverified_index^_*"><a href="#note_unverified_index^_*">[*]</a></sup></span> </td> <td align="right">37.156.667 </td> <td align="right">202254406890...022308220927 </td> <td align="right">11.185.272 </td> <td>6. september 2008 </td> <td>GIMPS / Hans-Michael Elvenich<sup id="cite_ref-mp_49-0" class="reference"><a href="#cite_note-mp-49"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 2.83 GHz <a href="/w/index.php?title=Core_2_Duo&action=edit&redlink=1" class="new" title="Core 2 Duo (stran ne obstaja)">Core 2 Duo</a> PC </td></tr> <tr> <td align="right">46<span class="reference"><sup id="ref_unverified_index^_*"><a href="#note_unverified_index^_*">[*]</a></sup></span> </td> <td align="right">42.643.801 </td> <td align="right">169873516452...765562314751 </td> <td align="right">12.837.064 </td> <td>12. april 2009<span class="reference"><sup id="ref_date_issue^_**"><a href="#note_date_issue^_**">[**]</a></sup></span> </td> <td>GIMPS / Odd Magnar Strindmo<sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 3 GHz Core 2 PC </td></tr> <tr> <td align="right">47<span class="reference"><sup id="ref_unverified_index^_*"><a href="#note_unverified_index^_*">[*]</a></sup></span> </td> <td align="right">43.112.609 </td> <td align="right">316470269330...166697152511 </td> <td align="right">12.978.189 </td> <td>23. avgust 2008 </td> <td>GIMPS / Edson Smith<sup id="cite_ref-mp_49-1" class="reference"><a href="#cite_note-mp-49"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – <a href="/w/index.php?title=Dell_Optiplex&action=edit&redlink=1" class="new" title="Dell Optiplex (stran ne obstaja)">Dell Optiplex</a> 745 </td></tr> <tr> <td style="text-align:right;">48<span class="reference"><sup id="ref_unverified_index^_*"><a href="#note_unverified_index^_*">[*]</a></sup></span> </td> <td style="text-align:right;">57.885.161 </td> <td style="text-align:right;">581887266232...071724285951 </td> <td style="text-align:right;">17.425.170 </td> <td>25. januar 2013 </td> <td>GIMPS / Cooper<sup id="cite_ref-m48_51-0" class="reference"><a href="#cite_note-m48-51"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> </td> <td>LLT / Prime95 – 3 GHz Intel Core2 Duo E8400<sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup> </td></tr></tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Slika:Digits_in_largest_Mersenne_prime_by_year.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Digits_in_largest_Mersenne_prime_by_year.svg/400px-Digits_in_largest_Mersenne_prime_by_year.svg.png" decoding="async" width="400" height="245" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Digits_in_largest_Mersenne_prime_by_year.svg/600px-Digits_in_largest_Mersenne_prime_by_year.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Digits_in_largest_Mersenne_prime_by_year.svg/800px-Digits_in_largest_Mersenne_prime_by_year.svg.png 2x" data-file-width="625" data-file-height="383" /></a><figcaption>Graf števila števk v največjem znanem Mersennovem praštevilu po letu v elektronski dobi. Navpično merilo, število števk, je dvojno logaritmično merilo vrednosti praštevila.</figcaption></figure> <p><span class="citation wikicite" id="endnote_unverified_index^_*"><a href="#ref_unverified_index^_*"><b><sup>^ *</sup></b></a></span> Ni znano ali obstaja kakšno Mersennovo praštevilo med 44. (<i>M</i><sub>32.582.657</sub>) in 48. (<i>M</i><sub>57.885.161</sub>) v tej razpredelnici. Zato so zadnje štiri zaporedne številke le začasne. Vsa Mersennova števila manjša od 47-ega (<i>M</i><sub>43.112.609</sub>) so bila preverjena vsaj enkrat, nekatera pa niso bila preverjena dvakrat. Nekatera Mersennova števila manjša od 48-ega niso bila preverjena.<sup id="cite_ref-GIMPS_Milestones_53-0" class="reference"><a href="#cite_note-GIMPS_Milestones-53"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup> Praštevila ne odkrijejo vedno v naraščajočem vrstnem redu. 29. Mersennovo praštevilo je bilo na primer odkrito za 30. in 31. Prav tako je bilo 45. odkrito štirinajst dni za 47., ter 46. slabih sedem mesecev za 47. </p><p><span class="citation wikicite" id="endnote_date_issue^_**"><a href="#ref_date_issue^_**"><b><sup>^ **</sup></b></a></span> Število <i>M</i><sub>42,643,801</sub> je bilo prvič odktito na stroju 12. aprila 2009. Vendar nihče ni bil pozoren na to dejstvo vse do 4. junija. Tako se lahko oba datuma, 12. april ali 4. junij, štejeta za datum 'odkritja'. Odktitelj Strindmo je verjetno uporabil nadimek Stig M. Valstad. </p><p>Število <i>M</i><sub>43.112.609</sub> je prvo odkrito praštevilo z več kot 10 milijoni desetiških števk. 48. znano Mersennovo praštevilo bi se zapisalo na 4647. straneh v desetiškem sistemu po 75 števk v vrstici in 50 vrstic na stran. Največje znano Mersennovo praštevilo <span class="nowrap">(2<sup>57,885,161</sup> − 1)</span> je hkrati tudi trenutno <a href="/w/index.php?title=Najve%C4%8Dje_znano_pra%C5%A1tevilo&action=edit&redlink=1" class="new" title="Največje znano praštevilo (stran ne obstaja)">največje znano praštevilo</a>.<sup id="cite_ref-m48_51-1" class="reference"><a href="#cite_note-m48-51"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="2305843009213693951">2305843009213693951</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=3" title="Uredi razdelek: 2305843009213693951" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=3" title="Urejanje izvorne kode razdelka: 2305843009213693951"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Število 2305843009213693951 je deveto Mersennovo praštevilo in je enako <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{61}-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>61</mn> </mrow> </msup> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{61}-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e2f09ff6422ad4558499a6123285ea8370d014a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.042ex; height:2.843ex;" alt="{\displaystyle 2^{61}-1}"></span>. Leta <a href="/w/index.php?title=1883_v_znanosti&action=edit&redlink=1" class="new" title="1883 v znanosti (stran ne obstaja)">1883</a> je <a href="/wiki/Ivan_Mihejevi%C4%8D_Pervu%C5%A1in" title="Ivan Mihejevič Pervušin">Pervušin</a> pokazal, da je praštevilo, in ga zato včasih imenujejo Pervušinovo število. Do leta 1911 je ostalo drugo največje znano praštevilo za številom <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2^{127}-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>127</mn> </mrow> </msup> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{127}-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ce52c5b5519892406032de0a9d33a9f4e5a48df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.864ex; height:2.843ex;" alt="{\displaystyle 2^{127}-1}"></span>, katerega praštevilskost je že sedem let prej dokazal <a href="/w/index.php?title=%C3%89douard_Lucas&action=edit&redlink=1" class="new" title="Édouard Lucas (stran ne obstaja)">Lucas</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Neskončni_verižni_ulomek"><span id="Neskon.C4.8Dni_veri.C5.BEni_ulomek"></span>Neskončni verižni ulomek</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=4" title="Uredi razdelek: Neskončni verižni ulomek" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=4" title="Urejanje izvorne kode razdelka: Neskončni verižni ulomek"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Matemati%C4%8Dna_konstanta" title="Matematična konstanta">Konstanta</a> neskončnega <a href="/wiki/Veri%C5%BEni_ulomek" title="Verižni ulomek">verižnega ulomka</a> Mersennovih praštevil je:<sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle u_{\mathcal {M}}=[0;3,7,31,127,8191,131071,524287,2147483647,2305843009213693951,\ldots ]=0,318248158405\ldots \!\,.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">M</mi> </mrow> </mrow> </msub> <mo>=</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>;</mo> <mn>3</mn> <mo>,</mo> <mn>7</mn> <mo>,</mo> <mn>31</mn> <mo>,</mo> <mn>127</mn> <mo>,</mo> <mn>8191</mn> <mo>,</mo> <mn>131071</mn> <mo>,</mo> <mn>524287</mn> <mo>,</mo> <mn>2147483647</mn> <mo>,</mo> <mn>2305843009213693951</mn> <mo>,</mo> <mo>…</mo> <mo stretchy="false">]</mo> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>318248158405</mn> <mo>…</mo> <mspace width="negativethinmathspace" /> <mspace width="thinmathspace" /> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle u_{\mathcal {M}}=[0;3,7,31,127,8191,131071,524287,2147483647,2305843009213693951,\ldots ]=0,318248158405\ldots \!\,.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82944983c810fac2888907feede5f52a2873691d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:105.989ex; height:2.843ex;" alt="{\displaystyle u_{\mathcal {M}}=[0;3,7,31,127,8191,131071,524287,2147483647,2305843009213693951,\ldots ]=0,318248158405\ldots \!\,.}"></span> (<a href="/w/index.php?title=Spletna_enciklopedija_celo%C5%A1tevilskih_zaporedij&action=edit&redlink=1" class="new" title="Spletna enciklopedija celoštevilskih zaporedij (stran ne obstaja)">OEIS</a> <span class="nowrap external"><a href="//oeis.org/A242072" class="extiw" title="oeis:A242072">A242072</a></span>).</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Glej_tudi">Glej tudi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=5" title="Uredi razdelek: Glej tudi" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=5" title="Urejanje izvorne kode razdelka: Glej tudi"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Erd%C5%91s-Borweinova_konstanta" title="Erdős-Borweinova konstanta">Erdős-Borweinova konstanta</a></li> <li><a href="/wiki/Dvojno_Mersennovo_%C5%A1tevilo" title="Dvojno Mersennovo število">dvojno Mersennovo število</a></li> <li><a href="/wiki/Cantorjevo_%C5%A1tevilo" title="Cantorjevo število">Cantorjevo število</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Sklici">Sklici</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=6" title="Uredi razdelek: Sklici" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=6" title="Urejanje izvorne kode razdelka: Sklici"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns references-column-width" style="column-width: 25em; list-style-type: decimal;"> <ol class="references"> <li id="cite_note-isthe-1"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-isthe_1-0">1,0</a></sup> <sup><a href="#cite_ref-isthe_1-1">1,1</a></sup> <sup><a href="#cite_ref-isthe_1-2">1,2</a></sup> <sup><a href="#cite_ref-isthe_1-3">1,3</a></sup></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r5980307">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"»""«""›""‹"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFNoll" class="citation web cs1 cs1-prop-foreign-lang-source"><a href="/w/index.php?title=Landon_Curt_Noll&action=edit&redlink=1" class="new" title="Landon Curt Noll (stran ne obstaja)">Noll, Landon Curt</a>. <a rel="nofollow" class="external text" href="http://www.isthe.com/chongo/tech/math/prime/mersenne.html#largest">»Mersenne Prime Digits and Names«</a> (v angleščini).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=Mersenne+Prime+Digits+and+Names&rft.aulast=Noll&rft.aufirst=Landon+Curt&rft_id=http%3A%2F%2Fwww.isthe.com%2Fchongo%2Ftech%2Fmath%2Fprime%2Fmersenne.html%23largest&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-Euclid-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-Euclid_2-0">2,0</a></sup> <sup><a href="#cite_ref-Euclid_2-1">2,1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://aleph0.clarku.edu/~djoyce/java/elements/bookIX/propIX36.html">»Euclid's Elements, knjiga IX, propozicija 36«</a> (v angleščini)<span class="reference-accessdate">. Pridobljeno 20. julija 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=Euclid%27s+Elements%2C+knjiga+IX%2C+propozicija+36&rft_id=http%3A%2F%2Faleph0.clarku.edu%2F~djoyce%2Fjava%2Felements%2FbookIX%2FpropIX36.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text">The Prime Pages, <a rel="nofollow" class="external text" href="http://primes.utm.edu/mersenne/">Mersenne Primes: History, Theorems and Lists</a>.</span> </li> <li id="cite_note-#1-4"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-#1_4-0">4,0</a></sup> <sup><a href="#cite_ref-#1_4-1">4,1</a></sup></span> <span class="reference-text">str. 13–18 v <i>Trattato de' nvumeri perfetti Di Pietro Antonio Cataldo</i> 1603. <a rel="nofollow" class="external free" href="http://fermi.imss.fi.it/rd/bdv?/bdviewer@selid=1373775#">http://fermi.imss.fi.it/rd/bdv?/bdviewer@selid=1373775#</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedija:Mrtva_povezava" title="Wikipedija:Mrtva povezava"><span title=" Mrtva povezava, označena mesec ni naveden">mrtva povezava</span></a></i>]</span></sup></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFEuler1772"> Euler (1772)</a>.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://primes.utm.edu/notes/by_year.html#31">http://primes.utm.edu/notes/by_year.html#31</a> Datum in leto odkritja nista točno znana. Možni so datumi med letoma 1752 in 1772.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFCaldwell" class="citation web cs1 cs1-prop-foreign-lang-source">Caldwell, Chris K. <a rel="nofollow" class="external text" href="http://primes.utm.edu/notes/proofs/MerDiv.html">»Modular restrictions on Mersenne divisors«</a> (v angleščini). Primes.utm.edu<span class="reference-accessdate">. Pridobljeno 21. maja 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=Modular+restrictions+on+Mersenne+divisors&rft.pub=Primes.utm.edu&rft.aulast=Caldwell&rft.aufirst=Chris+K.&rft_id=http%3A%2F%2Fprimes.utm.edu%2Fnotes%2Fproofs%2FMerDiv.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><a href="#cite_ref-8">↑</a></span> <span class="reference-text">“En novembre de l’année 1883, dans la correspondance de notre Académie se trouve une communication qui contient l’assertion que le nombre <span class="nowrap">2<sup>61</sup> − 1 = 2305843009213693951</span> est un nombre premier. /…/ Le tome XLVIII des Mémoires Russes de l’Académie /…/ contient le compte-rendu de la séance du 20 décembre 1883, dans lequel l’objet de la communication du père Pervouchine est indiqué avec précision.” Bulletin de l'Académie Impériale des Sciences de St.-Pétersbourg, s. 3, v. 31, 1887, cols. 532–533. <a rel="nofollow" class="external free" href="http://www.biodiversitylibrary.org/item/107789#page/277/mode/1up">http://www.biodiversitylibrary.org/item/107789#page/277/mode/1up</a> [pridobljeno dne 2012-09-17] Glej tudi Mélanges mathématiques et astronomiques tirés du Bulletin de l’Académie impériale des sciences de St.-Pétersbourg v. 6 (1881–1888), str. 553–554. Glej tudi Mémoires de l'Académie impériale des sciences de St.-Pétersbourg: Sciences mathématiques, physiques et naturelles, vol. 48</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFPowers1911"> Powers (1911)</a>.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><a href="#cite_ref-10">↑</a></span> <span class="reference-text">"M. E. Fauquenbergue a trouvé ses résultats depuis Février, et j’en ai reçu communication le 7 Juin; M. Powers a envoyé le 1<sup>er</sup> Juin un cablógramme à <a href="/w/index.php?title=Thomas_John_I%27Anson_Bromwich&action=edit&redlink=1" class="new" title="Thomas John I'Anson Bromwich (stran ne obstaja)">M. Bromwich</a> [secretary of London Mathematical Society] pour M<sub>107</sub>. Sur ma demande, ces deux auteurs m’ont adressé leurs remarquables résultats, et je m’empresse de les publier dans nos colonnes, avec nos felicitations." str. 103, André Gérardin, <i>Nombres de Mersenne</i> str. 85, 103–108 v Sphinx-Œdipe. [Journal mensuel de la curiosité, de concours & de mathématiques.] v. 9, No. 1, 1914.</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><a href="#cite_ref-11">↑</a></span> <span class="reference-text">"Power's cable announcing this same result was sent to the London Math. So. on 1 June 1914." Mersenne's Numbers, <i>Scripta Mathematica</i>, v. 3, 1935, str. 112–119 <a rel="nofollow" class="external free" href="http://primes.utm.edu/mersenne/LukeMirror/lit/lit_008s.htm">http://primes.utm.edu/mersenne/LukeMirror/lit/lit_008s.htm</a> [pridobljeno dne 2012-10-13]</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><a href="#cite_ref-12">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFPowers1914"> Powers (1914)</a>.</span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><a href="#cite_ref-13">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://primes.utm.edu/notes/fauquem.html">»M<sub>107</sub>: Fauquembergue or Powers?«</a> (v angleščini). The Prime Pages.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=M%3Csub%3E107%3C%2Fsub%3E%3A+Fauquembergue+or+Powers%3F&rft.pub=The+Prime+Pages&rft_id=http%3A%2F%2Fprimes.utm.edu%2Fnotes%2Ffauquem.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span>.</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><a href="#cite_ref-14">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFLucas1876"> Lucas (1876)</a>.</span> </li> <li id="cite_note-autogenerated4-15"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-autogenerated4_15-0">15,0</a></sup> <sup><a href="#cite_ref-autogenerated4_15-1">15,1</a></sup></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFLehmer1952a"> Lehmer (1952a)</a>. »S pomočjo standardnega testa za Mersennova praštevil s programom, ki ga je izdelal R. M. Robinson, je SWAC odkril praštevili 2<sup>521</sup> − 1 in 2<sup>607</sup> − 1 30. januarja 1951. To je vodilo do 13. in 14. popolnega števila.«</span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><a href="#cite_ref-16">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFLehmer1952b"> Lehmer (1952b)</a>. »Program opisan v opombi 131 (c) je našel 15-o Mersennovo praštevilo 2<sup>1279</sup> − 1 25. junija. SWAC je preveril to število v 13-ih minutah in 25-ih sekundah.«</span> </li> <li id="cite_note-autogenerated2-17"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-autogenerated2_17-0">17,0</a></sup> <sup><a href="#cite_ref-autogenerated2_17-1">17,1</a></sup></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFLehmer1952c"> Lehmer (1952c)</a>. »Dve novi Mersennovi praštevili, 2<sup>2203</sup> − 1 in 2<sup>2281</sup> − 1, je odkril računalnik SWAC 7. in 9. oktobra 1952.«</span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><a href="#cite_ref-18">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFRiesel1958"> Riesel (1958)</a>. »8. septembra 1957 je švedski elektronski računalnik BESK našel, da je Mersennovo število <span class="nowrap"><i>M</i><sub>3217</sub> = 2<sup>3217</sup> − 1</span> praštevilo.«</span> </li> <li id="cite_note-Hurwitz_and_Selfridge_1961-19"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-Hurwitz_and_Selfridge_1961_19-0">19,0</a></sup> <sup><a href="#cite_ref-Hurwitz_and_Selfridge_1961_19-1">19,1</a></sup></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFHurwitzSelfridge1961"> Hurwitz; Selfridge (1961)</a>.</span> </li> <li id="cite_note-autogenerated5-20"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-autogenerated5_20-0">20,0</a></sup> <sup><a href="#cite_ref-autogenerated5_20-1">20,1</a></sup></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFHurwitz1962"> Hurwitz (1962)</a>. »Če je <i>p</i> praštevilo se <i>M<sub>p</sub></i> = 2<sup><i>p</i></sup> − 1 imenuje Mersennovo število. Praštevili <i>M</i><sub>4253</sub> in <i>M</i><sub>4423</sub> sta bili odkriti s programiranjem Lucas-Lehmerjevega testa za raačunalnik IBM 7090.«</span> </li> <li id="cite_note-autogenerated3-21"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-autogenerated3_21-0">21,0</a></sup> <sup><a href="#cite_ref-autogenerated3_21-1">21,1</a></sup> <sup><a href="#cite_ref-autogenerated3_21-2">21,2</a></sup></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFGillies1964"> Gillies (1964)</a>. »Praštevila M<sub>9689</sub>, M<sub>9941</sub> in M<sub>11213</sub>, ki so sedaj največja znana praštevila, so bila odkrita z računalnikom Illiac II v Laboratoriju digitalnih računalnikov Univerze Illinoisa.«</span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><a href="#cite_ref-22">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFTuckerman1971"> Tuckerman (1971)</a>. »Zvečer 4. marca 1971 je bil odkrit ničelni Lucas-Lehmerjev ostanek za <span class="nowrap"><i>p</i> = <i>p</i><sub>24</sub> = 19937</span>, zato je število M<sub>19937</sub> 24-o Mersennovo praštevilo.«</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><a href="#cite_ref-23">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFNollNickel1980"> Noll; Nickel (1980)</a>. »30. oktobra 1978 ob 9:40 sva odkrila, da je število M<sub>21701</sub> praštevilo. Procesorki čas za ta test je bil 7:40:20. Tuckerman in Lehmer sta kasneje priskrbela potrditev tega rezultata.«</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><a href="#cite_ref-24">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFNollNickel1980"> Noll; Nickel (1980)</a>. »Od preostalih števil <i>M<sub>p</sub></i> je bilo najdeno, da je le število <i>M</i><sub>23209</sub> praštevilo. Test se je zaključil 9. februarja 1979 ob 4:06 po izvedenem procesorskem času 8:39:37. Lehmer in McGrogan sta kasneje potrdila rezultat.«</span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><a href="#cite_ref-25">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFSlowinski1978–1979"> Slowinski (1978–1979)</a>.</span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><a href="#cite_ref-26">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFSlowinski1982"> Slowinski (1982)</a>. »27. Mersennovo praštevilo. Ima 13395 števk in je enako 2<sup>44497</sup> – 1. [...] Njegova praštevilskost je bila odkrita 8. aprila 1979 s pomočjo Lucas-Lehmerjevega testa. Test sta sprogramirala na računalniku CRAY-1 David Slowinski in Harry Nelson.« (str. 15) »Rezultat je bil, da je po uporabi Lucas-Lehmerjevega testa na približno tisoč števil koda v nedeljo 8. aprila ugotovila, da je število 2<sup>44497</sup> − 1 dejansko 27. Mersennovo praštevilo.« (str. 17).</span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><a href="#cite_ref-27">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFColquittWelsh1991"> Colquitt; Welsh (1991)</a>. »Program s FFT, ki je vseboval 8192 kompleksnih elementov, kar je bila najmanjša zahtevana velikost za preverjanje števila M<sub>110503</sub>, je tekel približno 11 minut na računalniku SX-2. Odkritje števila M<sub>110503</sub> (29. januar 1988) je bilo potrjeno.«</span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><a href="#cite_ref-28">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFPeterson1988"> Peterson (1988)</a>. »Taa teden sta dva računalniška strokovnjaka našla 31. Mersennovo praštevilo. Na njihovo začudenje novo okdrito praštevilo pade med dve predhodno znani Mersennovi praštevili. Število se pojavi pri <span class="nowrap"><i>p</i> = 110,503</span>, kar pomeni, da je tretje največje znano Mersennovo praštevilo.«</span> </li> <li id="cite_note-29"><span class="mw-cite-backlink"><a href="#cite_ref-29">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://wwwhomes.uni-bielefeld.de/achim/mersenne.html">»Mersenne Prime Numbers«</a> (v angleščini). Omes.uni-bielefeld.de. 5. januar 2011<span class="reference-accessdate">. Pridobljeno 21. maja 2011</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=Mersenne+Prime+Numbers&rft.pub=Omes.uni-bielefeld.de&rft.date=2011-01-05&rft_id=http%3A%2F%2Fwwwhomes.uni-bielefeld.de%2Fachim%2Fmersenne.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><a href="#cite_ref-30">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFHiggins1983a"> Higgins (1983a)</a>, <a class="mw-selflink-fragment" href="#CITEREFHiggins1983b"> Higgins (1983b)</a>. »Slowinski, računalniški inženir za Cray Research Inc. v Chipppewa Fallsu, je odkril število v nedeljo ob 11:36 [to je 19. septembra 1983].«</span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><a href="#cite_ref-31">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFPeterson1985"> Peterson (1985)</a>.</span> </li> <li id="cite_note-32"><span class="mw-cite-backlink"><a href="#cite_ref-32">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFSallee1985"> Sallee (1985)</a>.</span> </li> <li id="cite_note-33"><span class="mw-cite-backlink"><a href="#cite_ref-33">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://primes.utm.edu/notes/756839.html">»The finding of the 32<i>nd</i> Mersenne«</a>. <i>The Prime Pages</i> (v angleščini).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=neznano&rft.jtitle=The+Prime+Pages&rft.atitle=The+finding+of+the+32nd+Mersenne&rft_id=http%3A%2F%2Fprimes.utm.edu%2Fnotes%2F756839.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><a href="#cite_ref-34">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFCaldwell" class="citation web cs1 cs1-prop-foreign-lang-source">Caldwell, Chris K. <a rel="nofollow" class="external text" href="https://web.archive.org/web/19981202090207/http://www.math.unicaen.fr/%7Ereyssat/largest.html">»The Largest Known Primes«</a> (v angleščini). Arhivirano iz <a rel="nofollow" class="external text" href="http://www.math.unicaen.fr/~reyssat/largest.html">prvotnega spletišča</a> dne 2. decembra 1998.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=The+Largest+Known+Primes&rft.aulast=Caldwell&rft.aufirst=Chris+K.&rft_id=http%3A%2F%2Fwww.math.unicaen.fr%2F~reyssat%2Flargest.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-35"><span class="mw-cite-backlink"><a href="#cite_ref-35">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.0x07bell.net/WWWMASTER/CrayWWWStuff/prfoldercomp/PRIME_NUMBER.940110.txt">Crays press release</a></span> </li> <li id="cite_note-36"><span class="mw-cite-backlink"><a href="#cite_ref-36">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://groups.google.com/forum/#!msg/sci.crypt/XXNkt07IE2s/eDeaWg5-mtIJ">Elektronska pošta Slowinskega</a></span> </li> <li id="cite_note-37"><span class="mw-cite-backlink"><a href="#cite_ref-37">↑</a></span> <span class="reference-text">Silicon Graphics' press release <a rel="nofollow" class="external free" href="https://web.archive.org/web/19970606011821/http://www.sgi.com/Headlines/1996/September/prime.html">https://web.archive.org/web/19970606011821/http://www.sgi.com/Headlines/1996/September/prime.html</a> [Retrieved 2012-09-20]</span> </li> <li id="cite_note-38"><span class="mw-cite-backlink"><a href="#cite_ref-38">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://primes.utm.edu/notes/1257787.html">»A Prime of Record Size! 2<sup>1257787</sup>-1«</a>. <i>The Prime Pages</i> (v angleščini).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=neznano&rft.jtitle=The+Prime+Pages&rft.atitle=A+Prime+of+Record+Size%21+2%3Csup%3E1257787%3C%2Fsup%3E-1&rft_id=http%3A%2F%2Fprimes.utm.edu%2Fnotes%2F1257787.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-39"><span class="mw-cite-backlink"><a href="#cite_ref-39">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mersenne.org/1398269.htm">GIMPS Discovers 35th Mersenne Prime</a>.</span> </li> <li id="cite_note-40"><span class="mw-cite-backlink"><a href="#cite_ref-40">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mersenne.org/2976221.htm">GIMPS Discovers 36th Known Mersenne Prime</a>.</span> </li> <li id="cite_note-41"><span class="mw-cite-backlink"><a href="#cite_ref-41">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mersenne.org/3021377.htm">GIMPS Discovers 37th Known Mersenne Prime</a>.</span> </li> <li id="cite_note-42"><span class="mw-cite-backlink"><a href="#cite_ref-42">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mersenne.org/6972593.htm">GIMPS Finds First Million-Digit Prime, Stakes Claim to $50,000 EFF Award</a>.</span> </li> <li id="cite_note-43"><span class="mw-cite-backlink"><a href="#cite_ref-43">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/13466917.htm">Researchers Discover Largest Multi-Million-Digit Prime Using Entropia Distributed Computing Grid</a>.</span> </li> <li id="cite_note-44"><span class="mw-cite-backlink"><a href="#cite_ref-44">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/20996011.htm">Mersenne Project Discovers Largest Known Prime Number on World-Wide Volunteer Computer Grid</a>.</span> </li> <li id="cite_note-45"><span class="mw-cite-backlink"><a href="#cite_ref-45">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/24036583.htm">Mersenne.org Project Discovers New Largest Known Prime Number, 2<sup>24,036,583</sup>-1</a>.</span> </li> <li id="cite_note-46"><span class="mw-cite-backlink"><a href="#cite_ref-46">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/25964951.htm">Mersenne.org Project Discovers New Largest Known Prime Number, 2<sup>25,964,951</sup>-1</a>.</span> </li> <li id="cite_note-47"><span class="mw-cite-backlink"><a href="#cite_ref-47">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/30402457.htm">Mersenne.org Project Discovers New Largest Known Prime Number, 2<sup>30,402,457</sup>-1</a>.</span> </li> <li id="cite_note-48"><span class="mw-cite-backlink"><a href="#cite_ref-48">↑</a></span> <span class="reference-text">GIMPS, <a rel="nofollow" class="external text" href="http://www.mersenne.org/32582657.htm">Mersenne.org Project Discovers Largest Known Prime Number, 2<sup>32,582,657</sup>-1</a>.</span> </li> <li id="cite_note-mp-49"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-mp_49-0">49,0</a></sup> <sup><a href="#cite_ref-mp_49-1">49,1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://mersenne.org/m45and46.htm">»Titanic Primes Raced to Win $100,000 Research Award«</a> (v angleščini)<span class="reference-accessdate">. Pridobljeno 16. septembra 2008</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=Titanic+Primes+Raced+to+Win+%24100%2C000+Research+Award&rft_id=http%3A%2F%2Fmersenne.org%2Fm45and46.htm&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-50"><span class="mw-cite-backlink"><a href="#cite_ref-50">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://primes.utm.edu/primes/page.php?id=88847">»The List of Largest Known Primes Home Page«</a> (v angleščini)<span class="reference-accessdate">. Pridobljeno 18. septembra 2012</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=The+List+of+Largest+Known+Primes+Home+Page&rft_id=http%3A%2F%2Fprimes.utm.edu%2Fprimes%2Fpage.php%3Fid%3D88847&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-m48-51"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-m48_51-0">51,0</a></sup> <sup><a href="#cite_ref-m48_51-1">51,1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://mersenne.org/various/57885161.htm">»GIMPS Project Discovers Largest Known Prime Number, <span class="nowrap">2<sup>57,885,161</sup> − 1</span>«</a> (v angleščini). <a href="/w/index.php?title=Great_Internet_Mersenne_Prime_Search&action=edit&redlink=1" class="new" title="Great Internet Mersenne Prime Search (stran ne obstaja)">Great Internet Mersenne Prime Search</a><span class="reference-accessdate">. Pridobljeno 5. februarja 2013</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=GIMPS+Project+Discovers+Largest+Known+Prime+Number%2C+%3Cspan+class%3D%22nowrap%22%3E2%3Csup%3E57%2C885%2C161%3C%2Fsup%3E+%26minus%3B+1%3C%2Fspan%3E&rft.pub=Great+Internet+Mersenne+Prime+Search&rft_id=http%3A%2F%2Fmersenne.org%2Fvarious%2F57885161.htm&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-52"><span class="mw-cite-backlink"><a href="#cite_ref-52">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www.mersenne.org/primes/">»List of known Mersenne prime numbers«</a> (v angleščini)<span class="reference-accessdate">. Pridobljeno 29. novembra 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=List+of+known+Mersenne+prime+numbers&rft_id=http%3A%2F%2Fwww.mersenne.org%2Fprimes%2F&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-GIMPS_Milestones-53"><span class="mw-cite-backlink"><a href="#cite_ref-GIMPS_Milestones_53-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www.mersenne.org/report_milestones/">»GIMPS Milestones Report«</a> (v angleščini)<span class="reference-accessdate">. Pridobljeno 23. maja 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=neznano&rft.btitle=GIMPS+Milestones+Report&rft_id=http%3A%2F%2Fwww.mersenne.org%2Freport_milestones%2F&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></span> </li> <li id="cite_note-54"><span class="mw-cite-backlink"><a href="#cite_ref-54">↑</a></span> <span class="reference-text"><a class="mw-selflink-fragment" href="#CITEREFWolf2010"> Wolf (2010)</a>.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Viri">Viri</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=7" title="Uredi razdelek: Viri" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=7" title="Urejanje izvorne kode razdelka: Viri"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r5453066">.mw-parser-output .refbegin{font-size:90%;margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-100{font-size:100%}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns dl,.mw-parser-output .refbegin-columns ol,.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li,.mw-parser-output .refbegin-columns dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="refbegin refbegin-columns references-column-count references-column-count-2" style="column-count: 2;"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFColquittWelsh1991" class="citation cs2"><a href="/w/index.php?title=Walter_N._Colquitt&action=edit&redlink=1" class="new" title="Walter N. Colquitt (stran ne obstaja)">Colquitt, Walter N.</a>; <a href="/w/index.php?title=Luther_Welsh&action=edit&redlink=1" class="new" title="Luther Welsh (stran ne obstaja)">Welsh, Luther</a> (<span dir="ltr">april 1991</span>), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1991-56-194/S0025-5718-1991-1068823-9/S0025-5718-1991-1068823-9.pdf">»A New Mersenne Prime«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>56</b> (194): 867–870<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=A+New+Mersenne+Prime&rft.volume=56&rft.issue=194&rft.pages=867-870&rft.date=1991-04&rft.aulast=Colquitt&rft.aufirst=Walter+N.&rft.au=Welsh%2C+Luther&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1991-56-194%2FS0025-5718-1991-1068823-9%2FS0025-5718-1991-1068823-9.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Predloga:Citation" class="mw-redirect" title="Predloga:Citation">citation</a>}}</code>: Vzdrževanje CS1: samodejni prevod datuma (<a href="/wiki/Kategorija:Vzdr%C5%BEevanje_CS1:_samodejni_prevod_datuma" title="Kategorija:Vzdrževanje CS1: samodejni prevod datuma">povezava</a>)</span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFEuler1772" class="citation cs2"><a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler, Leonhard</a> (1772), <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120331144007/http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=03-nouv%2F1772&seite%3Aint=36">»EULER, Leonhard: Extrait d'une lettre à M. Bernoulli, concernant le Mémoire imprimé parmi ceux de 1771. p. 318 [intitulé: Recherches sur les diviseurs de quelques nombres très grands compris dans la somme de la progression géométrique 1 + 101 + 102 + 103 + ... + 10T = S].«</a>, <i>Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres 1772</i>: 35–36, arhivirano iz <a rel="nofollow" class="external text" href="http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=03-nouv%2F1772&seite%3Aint=36">prvotnega spletišča</a> dne 31. marca 2012<span class="reference-accessdate">, pridobljeno 2. oktobra 2011</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Nouveaux+M%C3%A9moires+de+l%27Acad%C3%A9mie+Royale+des+Sciences+et+Belles-Lettres+1772&rft.atitle=EULER%2C+Leonhard%3A+Extrait+d%27une+lettre+%C3%A0+M.+Bernoulli%2C+concernant+le+M%C3%A9moire+imprim%C3%A9+parmi+ceux+de+1771.+p.+318+%5Bintitul%C3%A9%3A+Recherches+sur+les+diviseurs+de+quelques+nombres+tr%C3%A8s+grands+compris+dans+la+somme+de+la+progression+g%C3%A9om%C3%A9trique+1+%2B+101+%2B+102+%2B+103+%2B+...+%2B+10T+%3D+S%5D.&rft.pages=35-36&rft.date=1772&rft.aulast=Euler&rft.aufirst=Leonhard&rft_id=http%3A%2F%2Fbibliothek.bbaw.de%2Fbbaw%2Fbibliothek-digital%2Fdigitalequellen%2Fschriften%2Fanzeige%2Findex_html%3Fband%3D03-nouv%252F1772%26seite%253Aint%3D36&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFGillies1964" class="citation cs2"><a href="/w/index.php?title=Donald_Bruce_Gillies&action=edit&redlink=1" class="new" title="Donald Bruce Gillies (stran ne obstaja)">Gillies, Donald Bruce</a> (1964), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1964-18-085/S0025-5718-1964-0159774-6/S0025-5718-1964-0159774-6.pdf">»Three New Mersenne Primes and a Statistical Theory«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>18</b> (85): 93–97<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=Three+New+Mersenne+Primes+and+a+Statistical+Theory&rft.volume=18&rft.issue=85&rft.pages=93-97&rft.date=1964&rft.aulast=Gillies&rft.aufirst=Donald+Bruce&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1964-18-085%2FS0025-5718-1964-0159774-6%2FS0025-5718-1964-0159774-6.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFGrasselli2008" class="citation cs2"><a href="/wiki/Jo%C5%BEe_Grasselli" title="Jože Grasselli">Grasselli, Jože</a> (2008), <i>Enciklopedija števil</i>, Matematika – fizika : zbirka univerzitetnih učbenikov in monografij, zv. 45, Ljubljana: <a href="/wiki/Dru%C5%A1tvo_matematikov,_fizikov_in_astronomov_Slovenije" title="Društvo matematikov, fizikov in astronomov Slovenije">DMFA</a> – založništvo, <a href="/wiki/Vzajemni_bibliografski_sistem_COBISS" title="Vzajemni bibliografski sistem COBISS">COBISS</a> <a rel="nofollow" class="external text" href="https://plus.cobiss.net/cobiss/si/sl/bib/243138304">243138304</a>, <a href="/wiki/ISBN_(identifikator)" class="mw-redirect" title="ISBN (identifikator)">ISBN</a> <a href="/wiki/Posebno:ViriKnjig/978-961-212-209-6" title="Posebno:ViriKnjig/978-961-212-209-6"><bdi>978-961-212-209-6</bdi></a>, <a href="/wiki/ISSN_(identifikator)" class="mw-redirect" title="ISSN (identifikator)">ISSN</a> <a rel="nofollow" class="external text" href="https://www.worldcat.org/issn/1408-1571">1408-1571</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=Enciklopedija+%C5%A1tevil&rft.place=Ljubljana&rft.series=Matematika+%E2%80%93+fizika+%3A+zbirka+univerzitetnih+u%C4%8Dbenikov+in+monografij&rft.pub=DMFA+%E2%80%93+zalo%C5%BEni%C5%A1tvo&rft.date=2008&rft.issn=1408-1571&rft_id=https%3A%2F%2Fplus.cobiss.net%2Fcobiss%2Fsi%2Fsl%2Fbib%2F243138304%23full%23id-name%3DCOBISS&rft.isbn=978-961-212-209-6&rft.aulast=Grasselli&rft.aufirst=Jo%C5%BEe&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFHiggins1983a" class="citation cs2">Higgins, Jim (24. september 1983), <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160313024029/https://news.google.com/newspapers?id=roFQAAAAIBAJ&sjid=VRIEAAAAIBAJ&pg=1717%2C4841183">»Elusive numeral's number is up«</a>, <i>The Milwaukee Sentinel</i>: 1, arhivirano iz <a rel="nofollow" class="external text" href="http://news.google.com/newspapers?id=roFQAAAAIBAJ&sjid=VRIEAAAAIBAJ&pg=1717%2C4841183">prvotnega spletišča</a> dne 13. marca 2016<span class="reference-accessdate">, pridobljeno 20. julija 2015</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=The+Milwaukee+Sentinel&rft.atitle=Elusive+numeral%27s+number+is+up&rft.pages=1&rft.date=1983-09-24&rft.aulast=Higgins&rft.aufirst=Jim&rft_id=http%3A%2F%2Fnews.google.com%2Fnewspapers%3Fid%3DroFQAAAAIBAJ%26sjid%3DVRIEAAAAIBAJ%26pg%3D1717%252C4841183&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFHiggins1983b" class="citation cs2">Higgins, Jim (24. september 1983), <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160313024045/https://news.google.com/newspapers?id=roFQAAAAIBAJ&sjid=VRIEAAAAIBAJ&pg=4379%2C4887110">»Scientist finds big number«</a>, <i>The Milwaukee Sentinel</i>: 11, arhivirano iz <a rel="nofollow" class="external text" href="http://news.google.com/newspapers?id=roFQAAAAIBAJ&sjid=VRIEAAAAIBAJ&pg=4379%2C4887110">prvotnega spletišča</a> dne 13. marca 2016<span class="reference-accessdate">, pridobljeno 20. julija 2015</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=The+Milwaukee+Sentinel&rft.atitle=Scientist+finds+big+number&rft.pages=11&rft.date=1983-09-24&rft.aulast=Higgins&rft.aufirst=Jim&rft_id=http%3A%2F%2Fnews.google.com%2Fnewspapers%3Fid%3DroFQAAAAIBAJ%26sjid%3DVRIEAAAAIBAJ%26pg%3D4379%252C4887110&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFHurwitzSelfridgewfirst2=_J._L.1961" class="citation cs2"><a href="/w/index.php?title=Alexander_Hurwitz&action=edit&redlink=1" class="new" title="Alexander Hurwitz (stran ne obstaja)">Hurwitz, Alexander</a>; Selfridgewfirst2= J. L. (1961), »Fermat numbers and perfect numbers«, <i>Notices of the American Mathematical Society</i>, <b>8</b>: 601</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Notices+of+the+American+Mathematical+Society&rft.atitle=Fermat+numbers+and+perfect+numbers&rft.volume=8&rft.pages=601&rft.date=1961&rft.aulast=Hurwitz&rft.aufirst=Alexander&rft.au=Selfridgewfirst2%3D+J.+L.&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFHurwitz1962" class="citation cs2">Hurwitz, Alexander (1962), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1962-16-078/S0025-5718-1962-0146162-X/S0025-5718-1962-0146162-X.pdf">»New Mersenne Primes«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>16</b> (78): 249–251<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=New+Mersenne+Primes&rft.volume=16&rft.issue=78&rft.pages=249-251&rft.date=1962&rft.aulast=Hurwitz&rft.aufirst=Alexander&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1962-16-078%2FS0025-5718-1962-0146162-X%2FS0025-5718-1962-0146162-X.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFLehmer1952a" class="citation cs2"><a href="/w/index.php?title=Derrick_Henry_Lehmer&action=edit&redlink=1" class="new" title="Derrick Henry Lehmer (stran ne obstaja)">Lehmer, Derrick Henry</a> (1952a), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1952-06-037/S0025-5718-52-99404-0/S0025-5718-52-99404-0.pdf">»Note 131: Recent Discoveries of Large Primes«</a> <span class="cs1-format">(PDF)</span>, <i><a href="/w/index.php?title=Mathematics_of_Computation&action=edit&redlink=1" class="new" title="Mathematics of Computation (stran ne obstaja)">Mathematics of Computation</a></i>, <b>6</b> (37): 61<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=Note+131%3A+Recent+Discoveries+of+Large+Primes&rft.volume=6&rft.issue=37&rft.pages=61&rft.date=1952&rft.aulast=Lehmer&rft.aufirst=Derrick+Henry&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1952-06-037%2FS0025-5718-52-99404-0%2FS0025-5718-52-99404-0.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFLehmer1952b" class="citation cs2">Lehmer, Derrick Henry (1952b), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1952-06-039/S0025-5718-52-99387-3/S0025-5718-52-99387-3.pdf">»A New Mersenne Prime«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>6</b> (39): 205<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=A+New+Mersenne+Prime&rft.volume=6&rft.issue=39&rft.pages=205&rft.date=1952&rft.aulast=Lehmer&rft.aufirst=Derrick+Henry&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1952-06-039%2FS0025-5718-52-99387-3%2FS0025-5718-52-99387-3.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFLehmer1952c" class="citation cs2">Lehmer, Derrick Henry (1952c), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1953-07-041/S0025-5718-53-99371-5/S0025-5718-53-99371-5.pdf">»Two New Mersenne Primes«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>7</b> (41): 72<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=Two+New+Mersenne+Primes&rft.volume=7&rft.issue=41&rft.pages=72&rft.date=1952&rft.aulast=Lehmer&rft.aufirst=Derrick+Henry&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1953-07-041%2FS0025-5718-53-99371-5%2FS0025-5718-53-99371-5.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link 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title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=Note+sur+l%27application+des+s%C3%A9ries+r%C3%A9currentes+%C3%A0+la+recherche+de+la+loi+de+distribution+des+nombres+premiers&rft.date=1876&rft.aulast=Lucas&rft.aufirst=%C3%89douard&rft_id=http%3A%2F%2Fvisualiseur.bnf.fr%2FCadresFenetre%3FO%3DNUMM-3039%26I%3D166%26M%3Dchemindefer&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span>. Predstavljeno na srečanju Francoske akademije znanosti 10. januarja 1876.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFNollNickel1980" class="citation cs2"><a href="/w/index.php?title=Landon_Curt_Noll&action=edit&redlink=1" class="new" title="Landon Curt Noll (stran ne obstaja)">Noll, Landon Curt</a>; Nickel, Laura A. (1980), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1980-35-152/S0025-5718-1980-0583517-4/S0025-5718-1980-0583517-4.pdf">»The 25th and 26th Mersenne Primes«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>35</b> (152): 1387–1390<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=The+25th+and+26th+Mersenne+Primes&rft.volume=35&rft.issue=152&rft.pages=1387-1390&rft.date=1980&rft.aulast=Noll&rft.aufirst=Landon+Curt&rft.au=Nickel%2C+Laura+A.&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1980-35-152%2FS0025-5718-1980-0583517-4%2FS0025-5718-1980-0583517-4.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFPeterson1985" class="citation cs2">Peterson, I. (28. september 1985), <a rel="nofollow" class="external text" href="http://ehis.ebscohost.com/ehost/detail?vid=4&hid=22&sid=c11090a2-4670-469f-8f75-947b593a56a0%40sessionmgr10&bdata=JnNpdGU9ZWhvc3QtbGl2ZQ%3d%3d#db=afh&AN=8840537">»Prime time for supercomputers«</a>, <i><a href="/w/index.php?title=Science_News&action=edit&redlink=1" class="new" title="Science News (stran ne obstaja)">Science News</a></i>, <b>128</b> (13): 199<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Science+News&rft.atitle=Prime+time+for+supercomputers&rft.volume=128&rft.issue=13&rft.pages=199&rft.date=1985-09-28&rft.aulast=Peterson&rft.aufirst=I.&rft_id=http%3A%2F%2Fehis.ebscohost.com%2Fehost%2Fdetail%3Fvid%3D4%26hid%3D22%26sid%3Dc11090a2-4670-469f-8f75-947b593a56a0%2540sessionmgr10%26bdata%3DJnNpdGU9ZWhvc3QtbGl2ZQ%253d%253d%23db%3Dafh%26AN%3D8840537&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFPeterson1988" class="citation cs2">Peterson, I. (2. junij 1988), <a rel="nofollow" class="external text" href="http://ehis.ebscohost.com/ehost/detail?vid=3&hid=23&sid=9a9d7493-ffed-410b-9b59-b86c63a93bc4%40sessionmgr10&bdata=JnNpdGU9ZWhvc3QtbGl2ZQ%3d%3d#db=afh&AN=8824187">»Priming for a lucky strike«</a>, <i>Science News</i>, <b>133</b> (6): 85–85<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Science+News&rft.atitle=Priming+for+a+lucky+strike&rft.volume=133&rft.issue=6&rft.pages=85-85&rft.date=1988-06-02&rft.aulast=Peterson&rft.aufirst=I.&rft_id=http%3A%2F%2Fehis.ebscohost.com%2Fehost%2Fdetail%3Fvid%3D3%26hid%3D23%26sid%3D9a9d7493-ffed-410b-9b59-b86c63a93bc4%2540sessionmgr10%26bdata%3DJnNpdGU9ZWhvc3QtbGl2ZQ%253d%253d%23db%3Dafh%26AN%3D8824187&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFPowers1991" class="citation cs2"><a href="/w/index.php?title=Ralph_Ernest_Powers&action=edit&redlink=1" class="new" title="Ralph Ernest Powers (stran ne obstaja)">Powers, Ralph Ernest</a> (<span dir="ltr">november 1991</span>), <a rel="nofollow" class="external text" href="http://www.jstor.org/stable/2972574">»The Tenth Perfect Number«</a>, <i><a href="/w/index.php?title=The_American_Mathematical_Monthly&action=edit&redlink=1" class="new" title="The American Mathematical Monthly (stran ne obstaja)">The American Mathematical Monthly</a></i>, <b>18</b> (11): 195–197, <a href="/wiki/Doi_(identifikator)" class="mw-redirect" title="Doi (identifikator)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2972574">10.2307/2972574</a><span class="reference-accessdate">, pridobljeno 2. oktobra 2011</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=The+American+Mathematical+Monthly&rft.atitle=The+Tenth+Perfect+Number&rft.volume=18&rft.issue=11&rft.pages=195-197&rft.date=1991-11&rft_id=info%3Adoi%2F10.2307%2F2972574&rft.aulast=Powers&rft.aufirst=Ralph+Ernest&rft_id=http%3A%2F%2Fwww.jstor.org%2Fstable%2F2972574&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Predloga:Citation" class="mw-redirect" title="Predloga:Citation">citation</a>}}</code>: Vzdrževanje CS1: samodejni prevod datuma (<a href="/wiki/Kategorija:Vzdr%C5%BEevanje_CS1:_samodejni_prevod_datuma" title="Kategorija:Vzdrževanje CS1: samodejni prevod datuma">povezava</a>)</span>. Članek je podpisan »DENVER, COLORADO, junij 1911.«</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFPowers1914" class="citation cs2 cs1-prop-long-vol">Powers, Ralph Ernest (1914), <a rel="nofollow" class="external text" href="http://plms.oxfordjournals.org/content/s2-13/1/1.1.full.pdf">»Records of Proceedings at Meetings«</a> <span class="cs1-format">(PDF)</span>, <i><a href="/w/index.php?title=Proceedings_of_the_London_Mathematical_Society&action=edit&redlink=1" class="new" title="Proceedings of the London Mathematical Society (stran ne obstaja)"> Proc. London Math. Soc.</a></i>, s2–13 (1): 1, <a href="/wiki/Doi_(identifikator)" class="mw-redirect" title="Doi (identifikator)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1112%2Fplms%2Fs2-13.1.1-s">10.1112/plms/s2-13.1.1-s</a><span class="reference-accessdate">, pridobljeno 2. oktobra 2011</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Proc.+London+Math.+Soc.&rft.atitle=Records+of+Proceedings+at+Meetings&rft.volume=s2%E2%80%9313&rft.issue=1&rft.pages=1&rft.date=1914&rft_id=info%3Adoi%2F10.1112%2Fplms%2Fs2-13.1.1-s&rft.aulast=Powers&rft.aufirst=Ralph+Ernest&rft_id=http%3A%2F%2Fplms.oxfordjournals.org%2Fcontent%2Fs2-13%2F1%2F1.1.full.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span>. Rezultat predstavljen na srečanju <a href="/w/index.php?title=Londonsko_matemati%C4%8Dno_dru%C5%A1tvo&action=edit&redlink=1" class="new" title="Londonsko matematično društvo (stran ne obstaja)">Londonskega matematičnega društva</a> 11. junija 1914.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFRiesel1958" class="citation cs2"><a href="/w/index.php?title=Hans_Ivar_Riesel&action=edit&redlink=1" class="new" title="Hans Ivar Riesel (stran ne obstaja)">Riesel, Hans Ivar</a> (1958), <a rel="nofollow" class="external text" href="http://www.ams.org/journals/mcom/1958-12-061/S0025-5718-1958-0099752-6/S0025-5718-1958-0099752-6.pdf">»A New Mersenne Prime«</a> <span class="cs1-format">(PDF)</span>, <i>Mathematics of Computation</i>, <b>12</b>: 60<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Mathematics+of+Computation&rft.atitle=A+New+Mersenne+Prime&rft.volume=12&rft.pages=60&rft.date=1958&rft.aulast=Riesel&rft.aufirst=Hans+Ivar&rft_id=http%3A%2F%2Fwww.ams.org%2Fjournals%2Fmcom%2F1958-12-061%2FS0025-5718-1958-0099752-6%2FS0025-5718-1958-0099752-6.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="Harv" class="citation cs2 cs1-prop-long-vol">Sallee, Rad (20. september 1985), <a rel="nofollow" class="external text" href="http://www.chron.com/CDA/archives/archive.mpl/1985_39205/supercomputer-chevron-calculating-device-finds-a-b.html">»Supercomputer'/Chevron calculating device finds a bigger prime number«</a>, <i>Houston Chronicle</i>, Section 1: 26, 4<span class="reference-accessdate">, pridobljeno 23. oktobra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Houston+Chronicle&rft.atitle=Supercomputer%27%2FChevron+calculating+device+finds+a+bigger+prime+number&rft.volume=Section+1&rft.pages=26%2C+4&rft.date=1985-09-20&rft.aulast=Sallee&rft.aufirst=Rad&rft_id=http%3A%2F%2Fwww.chron.com%2FCDA%2Farchives%2Farchive.mpl%2F1985_39205%2Fsupercomputer-chevron-calculating-device-finds-a-b.html&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFSlowinski1978–1979" class="citation cs2"><a href="/w/index.php?title=David_Slowinski&action=edit&redlink=1" class="new" title="David Slowinski (stran ne obstaja)">Slowinski, David</a> (1978–1979), »Searching for the 27th Mersenne Prime«, <i><a href="/w/index.php?title=Journal_of_Recreational_Mathematics&action=edit&redlink=1" class="new" title="Journal of Recreational Mathematics (stran ne obstaja)">Journal of Recreational Mathematics</a></i>, <b>11</b> (4): 258–261, <a href="/w/index.php?title=MR_(identifikator)&action=edit&redlink=1" class="new" title="MR (identifikator) (stran ne obstaja)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=80g%20%2310013">80g #10013</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Journal+of+Recreational+Mathematics&rft.atitle=Searching+for+the+27th+Mersenne+Prime&rft.volume=11&rft.issue=4&rft.pages=258-261&rft.date=1978%2F1979&rft.aulast=Slowinski&rft.aufirst=David&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{<a href="/wiki/Predloga:Citation" class="mw-redirect" title="Predloga:Citation">citation</a>}}</code>: </span><span class="cs1-visible-error citation-comment">Preveri vrednost <code class="cs1-code">|mr=</code> (<a href="/wiki/Pomo%C4%8D:Napake_CS1#bad_mr" title="Pomoč:Napake CS1">pomoč</a>)</span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFSlowinski1982" class="citation cs2">Slowinski, David (1982), »Searching for the 27th Mersenne Prime«, <i>Cray Channels</i>, <b>4</b> (1): 15–17</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Cray+Channels&rft.atitle=Searching+for+the+27th+Mersenne+Prime&rft.volume=4&rft.issue=1&rft.pages=15-17&rft.date=1982&rft.aulast=Slowinski&rft.aufirst=David&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFTuckerman1971" class="citation cs2"><a href="/w/index.php?title=Bryant_Tuckerman&action=edit&redlink=1" class="new" title="Bryant Tuckerman (stran ne obstaja)">Tuckerman, Bryant</a> (1971), <a rel="nofollow" class="external text" href="http://www.pnas.org/content/68/10/2319.full.pdf">»The 24th Mersenne Prime«</a> <span class="cs1-format">(PDF)</span>, <i><a href="/w/index.php?title=Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America&action=edit&redlink=1" class="new" title="Proceedings of the National Academy of Sciences of the United States of America (stran ne obstaja)">Proc. Nat. Acad. Sci. USA</a></i>, <b>68</b> (10): 2319–2320<span class="reference-accessdate">, pridobljeno 18. septembra 2012</span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=%C4%8Dlanek&rft.jtitle=Proc.+Nat.+Acad.+Sci.+USA&rft.atitle=The+24th+Mersenne+Prime&rft.volume=68&rft.issue=10&rft.pages=2319-2320&rft.date=1971&rft.aulast=Tuckerman&rft.aufirst=Bryant&rft_id=http%3A%2F%2Fwww.pnas.org%2Fcontent%2F68%2F10%2F2319.full.pdf&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r5980307"><cite id="CITEREFWolf2010" class="citation cs2"><a href="/w/index.php?title=Marek_Wolf&action=edit&redlink=1" class="new" title="Marek Wolf (stran ne obstaja)">Wolf, Marek</a> (2010), <i>Continued fractions constructed from prime numbers</i>, <a href="/wiki/ArXiv_(identifikator)" class="mw-redirect" title="ArXiv (identifikator)">arXiv</a>:<span class="cs1-lock-free" title="Prosto dostopno"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1003.4015">1003.4015</a></span></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=knjiga&rft.btitle=Continued+fractions+constructed+from+prime+numbers&rft.date=2010&rft_id=info%3Aarxiv%2F1003.4015&rft.aulast=Wolf&rft.aufirst=Marek&rfr_id=info%3Asid%2Fsl.wikipedia.org%3AMersennovo+%C5%A1tevilo" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Zunanje_povezave">Zunanje povezave</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&veaction=edit&section=8" title="Uredi razdelek: Zunanje povezave" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mersennovo_%C5%A1tevilo&action=edit&section=8" title="Urejanje izvorne kode razdelka: Zunanje povezave"><span>uredi kodo</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.mersenne.org/">Domača stran</a> projekta GIMPS, ki se ukvarja z iskanjem Mersennovih števil. <span class="languageicon">(angleško)</span></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Pridobljeno iz »<a dir="ltr" href="https://sl.wikipedia.org/w/index.php?title=Mersennovo_število&oldid=5990857">https://sl.wikipedia.org/w/index.php?title=Mersennovo_število&oldid=5990857</a>«</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Posebno:Kategorije" title="Posebno:Kategorije">Kategorije</a>: <ul><li><a href="/wiki/Kategorija:Razredi_pra%C5%A1tevil" title="Kategorija:Razredi praštevil">Razredi praštevil</a></li><li><a href="/wiki/Kategorija:Nere%C5%A1eni_matemati%C4%8Dni_problemi" title="Kategorija:Nerešeni matematični problemi">Nerešeni matematični problemi</a></li><li><a href="/wiki/Kategorija:Celo%C5%A1tevilska_zaporedja" title="Kategorija:Celoštevilska zaporedja">Celoštevilska zaporedja</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Skrite kategorije: <ul><li><a href="/wiki/Kategorija:Viri_CS1_v_angle%C5%A1%C4%8Dini_(en)" title="Kategorija:Viri CS1 v angleščini (en)">Viri CS1 v angleščini (en)</a></li><li><a href="/wiki/Kategorija:Vsi_%C4%8Dlanki_z_mrtvimi_zunanjimi_povezavami" title="Kategorija:Vsi članki z mrtvimi zunanjimi povezavami">Vsi članki z mrtvimi zunanjimi povezavami</a></li><li><a href="/wiki/Kategorija:%C4%8Clanki_z_mrtvimi_zunanjimi_povezavami" title="Kategorija:Članki z mrtvimi zunanjimi povezavami">Članki z mrtvimi zunanjimi povezavami</a></li><li><a href="/wiki/Kategorija:Vzdr%C5%BEevanje_CS1:_samodejni_prevod_datuma" title="Kategorija:Vzdrževanje CS1: samodejni prevod datuma">Vzdrževanje CS1: samodejni prevod datuma</a></li><li><a href="/wiki/Kategorija:CS1:_dolga_vrednost_volume" title="Kategorija:CS1: dolga vrednost volume">CS1: dolga vrednost volume</a></li><li><a href="/wiki/Kategorija:Napake_CS1:_MR" title="Kategorija:Napake CS1: MR">Napake CS1: MR</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Čas zadnje spremembe strani: 09:15, 28. april 2023.</li> <li id="footer-info-copyright">Besedilo se sme prosto uporabljati v skladu z dovoljenjem <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Priznanje avtorstva-Deljenje pod enakimi pogoji 4.0</a>; uveljavljajo se lahko dodatni pogoji. 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