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class="vector-pinnable-header-label">Huvudmeny</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">dölj</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigering </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portal:Huvudsida" title="Besök huvudsidan [z]" accesskey="z"><span>Huvudsida</span></a></li><li id="n-Introduktion" class="mw-list-item"><a href="/wiki/Wikipedia:Introduktion"><span>Introduktion</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Deltagarportalen" title="Om projektet, vad du kan göra, var man kan hitta saker"><span>Deltagarportalen</span></a></li><li id="n-Bybrunnen" class="mw-list-item"><a href="/wiki/Wikipedia:Bybrunnen"><span>Bybrunnen</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:Senaste_%C3%A4ndringar" title="Lista över de senaste ändringarna på wikin [r]" accesskey="r"><span>Senaste ändringarna</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Slumpsida" title="Gå till en slumpmässigt vald sida [x]" accesskey="x"><span>Slumpartikel</span></a></li><li id="n-filuppladdning" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard" title="Ladda upp filer till Wikimedia Commons"><span>Ladda upp filer</span></a></li><li id="n-Kontakta-Wikipedia" class="mw-list-item"><a href="/wiki/Wikipedia:Kontakt"><span>Kontakta Wikipedia</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Hj%C3%A4lp" title="Platsen där du hittar hjälp"><span>Hjälp</span></a></li> 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</form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personliga verktyg"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" 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-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="Utseende"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Ändra utseendet på sidans teckenstorlek, bredd och färg" > <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="Utseende" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" 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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv" class=""><span>Stöd Wikipedia</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=Special:Skapa_konto&returnto=Fermattal" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt" class=""><span>Skapa konto</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=Special:Inloggning&returnto=Fermattal" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o" class=""><span>Logga in</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="Fler alternativ" > <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="Personliga verktyg" > <label id="vector-user-links-dropdown-label" for="vector-user-links-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personliga verktyg</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Användarmeny" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sv.wikipedia.org&uselang=sv"><span>Stöd Wikipedia</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Skapa_konto&returnto=Fermattal" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skapa konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Inloggning&returnto=Fermattal" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga in</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"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</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/Special:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</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="Webbplats"> <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="Innehåll" 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">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</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">Inledning</div> </a> </li> <li id="toc-Andra_egenskaper" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Andra_egenskaper"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Andra egenskaper</span> </div> </a> <ul id="toc-Andra_egenskaper-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Förklaring" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Förklaring"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Förklaring</span> </div> </a> <ul id="toc-Förklaring-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Källor" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Källor</span> </div> </a> <button aria-controls="toc-Källor-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Växla underavsnittet Källor</span> </button> <ul id="toc-Källor-sublist" class="vector-toc-list"> <li id="toc-Fotnoter" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fotnoter"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Fotnoter</span> </div> </a> <ul id="toc-Fotnoter-sublist" class="vector-toc-list"> </ul> </li> </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="Innehåll" 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="Växla innehållsförteckningen" > <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">Växla innehållsförteckningen</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">Fermattal</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="Gå till en artikel på ett annat språk. Tillgänglig på 41 språk" > <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-41" 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">41 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/Fermat_t%C3%A6l" title="Fermat tæl – fornengelska" lang="ang" hreflang="ang" data-title="Fermat tæl" data-language-autonym="Ænglisc" data-language-local-name="fornengelska" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%81%D9%8A%D8%B1%D9%85%D8%A7" title="عدد فيرما – arabiska" lang="ar" hreflang="ar" data-title="عدد فيرما" data-language-autonym="العربية" data-language-local-name="arabiska" 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/Ferma_%C9%99d%C9%99dl%C9%99ri" title="Ferma ədədləri – azerbajdzjanska" lang="az" hreflang="az" data-title="Ferma ədədləri" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdzjanska" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AB%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%AE%E0%A6%BE_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="ফার্মা সংখ্যা – bengali" lang="bn" hreflang="bn" data-title="ফার্মা সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</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%A4%D0%B5%D1%80%D0%BC%D0%B0" title="Число на Ферма – bulgariska" lang="bg" hreflang="bg" data-title="Число на Ферма" data-language-autonym="Български" data-language-local-name="bulgariska" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_de_Fermat" title="Nombre de Fermat – katalanska" lang="ca" hreflang="ca" data-title="Nombre de Fermat" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Fermatovo_%C4%8D%C3%ADslo" title="Fermatovo číslo – tjeckiska" lang="cs" hreflang="cs" data-title="Fermatovo číslo" data-language-autonym="Čeština" data-language-local-name="tjeckiska" 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/Fermatprimtal" title="Fermatprimtal – danska" lang="da" hreflang="da" data-title="Fermatprimtal" data-language-autonym="Dansk" data-language-local-name="danska" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Fermat-Zahl" title="Fermat-Zahl – tyska" lang="de" hreflang="de" data-title="Fermat-Zahl" data-language-autonym="Deutsch" data-language-local-name="tyska" 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%91%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82_%CE%A6%CE%B5%CF%81%CE%BC%CE%AC" title="Αριθμός Φερμά – grekiska" lang="el" hreflang="el" data-title="Αριθμός Φερμά" data-language-autonym="Ελληνικά" data-language-local-name="grekiska" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Fermat_number" title="Fermat number – engelska" lang="en" hreflang="en" data-title="Fermat number" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_de_Fermat" title="Número de Fermat – spanska" lang="es" hreflang="es" data-title="Número de Fermat" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nombro_de_Fermat" title="Nombro de Fermat – esperanto" lang="eo" hreflang="eo" data-title="Nombro de Fermat" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%81%D8%B1%D9%85%D8%A7" title="اعداد فرما – persiska" lang="fa" hreflang="fa" data-title="اعداد فرما" data-language-autonym="فارسی" data-language-local-name="persiska" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_de_Fermat" title="Nombre de Fermat – franska" lang="fr" hreflang="fr" data-title="Nombre de Fermat" data-language-autonym="Français" data-language-local-name="franska" 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_de_Fermat" title="Número de Fermat – galiciska" lang="gl" hreflang="gl" data-title="Número de Fermat" data-language-autonym="Galego" data-language-local-name="galiciska" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8E%98%EB%A5%B4%EB%A7%88_%EC%88%98" title="페르마 수 – koreanska" lang="ko" hreflang="ko" data-title="페르마 수" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%96%D5%A5%D6%80%D5%B4%D5%A1%D5%B5%D5%AB_%D5%A9%D5%AB%D5%BE" title="Ֆերմայի թիվ – armeniska" lang="hy" hreflang="hy" data-title="Ֆերմայի թիվ" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_di_Fermat" title="Numero di Fermat – italienska" lang="it" hreflang="it" data-title="Numero di Fermat" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</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%A4%D7%A8%D7%9E%D7%94" title="מספר פרמה – hebreiska" lang="he" hreflang="he" data-title="מספר פרמה" data-language-autonym="עברית" data-language-local-name="hebreiska" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ferma_skai%C4%8Dius" title="Ferma skaičius – litauiska" lang="lt" hreflang="lt" data-title="Ferma skaičius" data-language-autonym="Lietuvių" data-language-local-name="litauiska" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fermat-sz%C3%A1mok" title="Fermat-számok – ungerska" lang="hu" hreflang="hu" data-title="Fermat-számok" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Fermatgetal" title="Fermatgetal – nederländska" lang="nl" hreflang="nl" data-title="Fermatgetal" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%95%E3%82%A7%E3%83%AB%E3%83%9E%E3%83%BC%E6%95%B0" title="フェルマー数 – japanska" lang="ja" hreflang="ja" data-title="フェルマー数" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Fermat-tallene" title="Fermat-tallene – norskt bokmål" lang="nb" hreflang="nb" data-title="Fermat-tallene" data-language-autonym="Norsk bokmål" data-language-local-name="norskt bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Fermattal" title="Fermattal – nynorska" lang="nn" hreflang="nn" data-title="Fermattal" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorska" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/N%C3%B9mer_%C3%ABd_Fermat" title="Nùmer ëd Fermat – piemontesiska" lang="pms" hreflang="pms" data-title="Nùmer ëd Fermat" data-language-autonym="Piemontèis" data-language-local-name="piemontesiska" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczby_Fermata" title="Liczby Fermata – polska" lang="pl" hreflang="pl" data-title="Liczby Fermata" data-language-autonym="Polski" data-language-local-name="polska" 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/N%C3%BAmero_de_Fermat" title="Número de Fermat – portugisiska" lang="pt" hreflang="pt" data-title="Número de Fermat" data-language-autonym="Português" data-language-local-name="portugisiska" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0" title="Число Ферма – ryska" lang="ru" hreflang="ru" data-title="Число Ферма" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Fermat_number" title="Fermat number – Simple English" lang="en-simple" hreflang="en-simple" data-title="Fermat number" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Fermatovo_pra%C5%A1tevilo" title="Fermatovo praštevilo – slovenska" lang="sl" hreflang="sl" data-title="Fermatovo praštevilo" data-language-autonym="Slovenščina" data-language-local-name="slovenska" class="interlanguage-link-target"><span>Slovenščina</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_%D9%81%DB%8E%D8%B1%D9%85%D8%A7" title="ژمارەی فێرما – centralkurdiska" lang="ckb" hreflang="ckb" data-title="ژمارەی فێرما" data-language-autonym="کوردی" data-language-local-name="centralkurdiska" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Fermat%E2%80%99n_luku" title="Fermat’n luku – finska" lang="fi" hreflang="fi" data-title="Fermat’n luku" data-language-autonym="Suomi" data-language-local-name="finska" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%83%E0%AE%AA%E0%AF%86%E0%AE%B0%E0%AF%8D%E0%AE%AE%E0%AE%BE_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="ஃபெர்மா எண் – tamil" lang="ta" hreflang="ta" data-title="ஃபெர்மா எண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" 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%81%E0%B8%9F%E0%B8%A3%E0%B9%8C%E0%B8%A1%E0%B8%B2" title="จำนวนแฟร์มา – thailändska" lang="th" hreflang="th" data-title="จำนวนแฟร์มา" data-language-autonym="ไทย" data-language-local-name="thailändska" 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/Fermat_say%C4%B1lar%C4%B1" title="Fermat sayıları – turkiska" lang="tr" hreflang="tr" data-title="Fermat sayıları" data-language-autonym="Türkçe" data-language-local-name="turkiska" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%B0_%D0%A4%D0%B5%D1%80%D0%BC%D0%B0" title="Числа Ферма – ukrainska" lang="uk" hreflang="uk" data-title="Числа Ферма" data-language-autonym="Українська" data-language-local-name="ukrainska" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_Fermat" title="Số Fermat – vietnamesiska" lang="vi" hreflang="vi" data-title="Số Fermat" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesiska" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%B2%BB%E9%A6%AC%E6%95%B8" title="費馬數 – kantonesiska" lang="yue" hreflang="yue" data-title="費馬數" data-language-autonym="粵語" data-language-local-name="kantonesiska" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%B2%BB%E9%A6%AC%E6%95%B8" title="費馬數 – kinesiska" lang="zh" hreflang="zh" data-title="費馬數" data-language-autonym="中文" data-language-local-name="kinesiska" class="interlanguage-link-target"><span>中文</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/Q207264#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</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="Namnrymder"> <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/Fermattal" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new 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<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</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">Från Wikipedia</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="sv" dir="ltr"><p>Ett <b>fermattal</b> är inom <a href="/wiki/Talteori" title="Talteori">talteorin</a> ett <a href="/wiki/Naturligt_tal" class="mw-redirect" title="Naturligt tal">naturligt tal</a>, som kan skrivas på formen: </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^{2^{n}}+1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> </mrow> </msup> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{2^{n}}+1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b27f57a4191be088259902a790ef2fb093ffb812" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:7.184ex; height:2.843ex;" alt="{\displaystyle 2^{2^{n}}+1}"></span></dd></dl> <p>där <i>n</i> är ett naturligt tal. </p><p>Ett fermattal betecknas <i>F</i><sub><i>n</i></sub> , där </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 F_{n}=2^{2^{n}}+1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> </mrow> </msup> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{n}=2^{2^{n}}+1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d30d9d4b1346ac464869a5cee356ae0468de70f4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.996ex; height:3.009ex;" alt="{\displaystyle F_{n}=2^{2^{n}}+1}"></span></dd></dl> <p>De sju första Fermattalen är (talföljd <a href="//oeis.org/A000215" class="extiw" title="oeis:A000215">A000215</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</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 F_{0}=3\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>3</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{0}=3\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f2060a2753c03aa69a19f65f4b270d1e64ae9ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.197ex; height:2.509ex;" alt="{\displaystyle F_{0}=3\,}"></span></dd> <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 F_{1}=5\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>5</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{1}=5\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e4cef27374cfc56938543cd294224b903873b67" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.197ex; height:2.509ex;" alt="{\displaystyle F_{1}=5\,}"></span></dd> <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 F_{2}=17\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>17</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{2}=17\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5b2ee02112fcf4d51da126ff3d082780c2472165" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.359ex; height:2.509ex;" alt="{\displaystyle F_{2}=17\,}"></span></dd> <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 F_{3}=257\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>=</mo> <mn>257</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{3}=257\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a07cb21298246c4a2083aa218a8a8b0973a37ad9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.522ex; height:2.509ex;" alt="{\displaystyle F_{3}=257\,}"></span></dd> <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 F_{4}=65\,537}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> <mo>=</mo> <mn>65</mn> <mspace width="thinmathspace" /> <mn>537</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{4}=65\,537}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1435984259ba8aa9ea9dededd6caa89937d565d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.847ex; height:2.509ex;" alt="{\displaystyle F_{4}=65\,537}"></span></dd> <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 F_{5}=4\,294\,967\,297}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msub> <mo>=</mo> <mn>4</mn> <mspace width="thinmathspace" /> <mn>294</mn> <mspace width="thinmathspace" /> <mn>967</mn> <mspace width="thinmathspace" /> <mn>297</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{5}=4\,294\,967\,297}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c34aca4e707a4f382d0882268ffb153eceb34b9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.433ex; height:2.509ex;" alt="{\displaystyle F_{5}=4\,294\,967\,297}"></span></dd> <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 F_{6}=18\,446\,744\,073\,709\,551\,617}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msub> <mo>=</mo> <mn>18</mn> <mspace width="thinmathspace" /> <mn>446</mn> <mspace width="thinmathspace" /> <mn>744</mn> <mspace width="thinmathspace" /> <mn>073</mn> <mspace width="thinmathspace" /> <mn>709</mn> <mspace width="thinmathspace" /> <mn>551</mn> <mspace width="thinmathspace" /> <mn>617</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{6}=18\,446\,744\,073\,709\,551\,617}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6eaacc26ea734bcac28fc1e9428e42fa9aa7041" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:31.219ex; height:2.509ex;" alt="{\displaystyle F_{6}=18\,446\,744\,073\,709\,551\,617}"></span>.</dd></dl> <p>Fermattalen studerades först av <a href="/wiki/Pierre_de_Fermat" title="Pierre de Fermat">Pierre de Fermat</a>, som förmodade att de alla var <a href="/wiki/Primtal" title="Primtal">primtal</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-reference-link-bracket">[</span>1<span class="cite-reference-link-bracket">]</span></a></sup> <a href="/wiki/Hypotes" title="Hypotes">Hypotesen</a> visade sig dock vara falsk. <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a> fann <a href="/wiki/1732" title="1732">1732</a> att <i>F</i><sub>5</sub> = <a href="/wiki/4294967297_(tal)" title="4294967297 (tal)">4 294 967 297</a> = 641·6 700 417. De fermattal, som är primtal kallas <a href="/wiki/Fermatprimtal" title="Fermatprimtal">Fermatprimtal</a> och de enda sådana, som man känner till är 3, 5, 17, 257 och 65537. </p><p>Fermattalen är parvis <a href="/wiki/Relativt_prima" title="Relativt prima">relativt prima</a>. </p><p>Det lägsta Fermattal vars primtalsstatus var okänd var i november 2024 <i>F</i><sub><i>33</i></sub> (ett tal med 2 585 827 973 siffror<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-reference-link-bracket">[</span>a<span class="cite-reference-link-bracket">]</span></a></sup>) och av Fermattalen som är mindre än detta var inga primtalsfaktorer till <i>F</i><sub><i>20</i></sub> och <i>F</i><sub><i>24</i></sub> kända, utan det hade bara visats att de är sammansatta<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-reference-link-bracket">[</span>2<span class="cite-reference-link-bracket">]</span></a></sup>. Alla Fermattal upp till <i>F</i><sub><i>11</i></sub> är fullständigt faktoriserade och totalt 305 Fermattal har visats vara sammansatta, det största av dessa är <i>F</i><sub><i>3329780</i></sub> som innehåller primtalsfaktorn 193.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-reference-link-bracket">[</span>3<span class="cite-reference-link-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Andra_egenskaper">Andra egenskaper</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fermattal&veaction=edit&section=1" title="Redigera avsnitt: Andra egenskaper" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fermattal&action=edit&section=1" title="Redigera avsnitts källkod: Andra egenskaper"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ett Fermattal kan inte vara <a href="/wiki/Perfekt_tal" title="Perfekt tal">perfekt</a> eller en del av ett par av <a href="/wiki/V%C3%A4nskapliga_tal" class="mw-redirect" title="Vänskapliga tal">vänskapligt tal</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-reference-link-bracket">[</span>4<span class="cite-reference-link-bracket">]</span></a></sup> </p><p>Serien av <a href="/wiki/Reciprok_(matematik)" title="Reciprok (matematik)">reciprokerna</a> av alla primtalsfaktorer av Fermattalen konvergerar. <sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-reference-link-bracket">[</span>5<span class="cite-reference-link-bracket">]</span></a></sup> </p><p>Om <i>n</i><sup><i>n</i></sup> + 1 är ett primtal, finns det ett heltal <i>m</i> sådant att <i>n</i> = 2<sup>2</sup><sup><sup><i>m</i></sup></sup>. Ekvationen <i>n</i><sup><i>n</i></sup> + 1 = <i>F</i><sub>(2</sub><sub><sup><i>m</i></sup></sub><sub>+<i>m</i>)</sub> gäller samtidigt.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-reference-link-bracket">[</span>6<span class="cite-reference-link-bracket">]</span></a></sup> </p><p>Låt den största primtalsfaktorn av Fermattalet <i>F</i><sub><i>n</i></sub> vara <i>P</i>(<i>F</i><sub><i>n</i></sub>). Då är </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 P(F_{n})\geq 2^{n+2}(4n+9)+1.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo>≥</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mn>4</mn> <mi>n</mi> <mo>+</mo> <mn>9</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mn>1.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(F_{n})\geq 2^{n+2}(4n+9)+1.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec30b46249e7852632e5fd28583e21d459ecd428" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:26.867ex; height:3.176ex;" alt="{\displaystyle P(F_{n})\geq 2^{n+2}(4n+9)+1.}"></span> <sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-reference-link-bracket">[</span>7<span class="cite-reference-link-bracket">]</span></a></sup></dd></dl> <p>Alla Fermattal utom <i>F</i><sub><i>0</i></sub> och <i>F</i><sub><i>1</i></sub> slutar med en sjua (<a href="/wiki/Decimala_talsystemet" title="Decimala talsystemet">decimalt</a>) eftersom <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\geq 2\Rightarrow 2^{2^{n}}=(2^{4})^{2^{n-2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>≥</mo> <mn>2</mn> <mo stretchy="false">⇒</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msup> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\geq 2\Rightarrow 2^{2^{n}}=(2^{4})^{2^{n-2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e2cf14b9588a78c6b3164639e270d5f474d8931" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.3ex; height:3.509ex;" alt="{\displaystyle n\geq 2\Rightarrow 2^{2^{n}}=(2^{4})^{2^{n-2}}}"></span><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 =16^{2^{n-2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <msup> <mn>16</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>2</mn> </mrow> </msup> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =16^{2^{n-2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/353592d41711028aba095dded2ee8602778a88a2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.503ex; height:3.009ex;" alt="{\displaystyle =16^{2^{n-2}}}"></span>, vilket alltid slutar på en sexa<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-reference-link-bracket">[</span>8<span class="cite-reference-link-bracket">]</span></a></sup>, och <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 6+1=7}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mn>7</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6+1=7}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fafebf354dd5fc6aef0ff1ec1d672aac5b6a8211" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 6+1=7}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Förklaring"><span id="F.C3.B6rklaring"></span>Förklaring</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fermattal&veaction=edit&section=2" title="Redigera avsnitt: Förklaring" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fermattal&action=edit&section=2" title="Redigera avsnitts källkod: Förklaring"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r47958313">.mw-parser-output .fotnotslista .references{list-style-type:inherit}.mw-parser-output .skin-minerva .fotnotslista .references{list-style-type:lower-alpha}</style><div class="fotnotslista" style="list-style-type: lower-alpha;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-2"><a href="#cite_ref-2">^</a> <span class="reference-text"><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 \textstyle \log _{10}F_{33}\approx 2^{33}\cdot \log _{10}2\ =8\,589\,934\,592\cdot \log _{10}2\ \approx \ 2\,585\,827\,972{,}98}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> <mo>≈</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msup> <mo>⋅</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡</mo> <mn>2</mn> <mtext> </mtext> <mo>=</mo> <mn>8</mn> <mspace width="thinmathspace" /> <mn>589</mn> <mspace width="thinmathspace" /> <mn>934</mn> <mspace width="thinmathspace" /> <mn>592</mn> <mo>⋅</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡</mo> <mn>2</mn> <mtext> </mtext> <mo>≈</mo> <mtext> </mtext> <mn>2</mn> <mspace width="thinmathspace" /> <mn>585</mn> <mspace width="thinmathspace" /> <mn>827</mn> <mspace width="thinmathspace" /> <mn>972</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>98</mn> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \textstyle \log _{10}F_{33}\approx 2^{33}\cdot \log _{10}2\ =8\,589\,934\,592\cdot \log _{10}2\ \approx \ 2\,585\,827\,972{,}98}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/343e74a65cdca2856c7ff3e731b956d6920ab85a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:67.379ex; height:3.176ex;" alt="{\displaystyle \textstyle \log _{10}F_{33}\approx 2^{33}\cdot \log _{10}2\ =8\,589\,934\,592\cdot \log _{10}2\ \approx \ 2\,585\,827\,972{,}98}"></span>.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fermattal&veaction=edit&section=3" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fermattal&action=edit&section=3" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>David M. Burton, Elementary Number Theory, Allyn and Bacon 1980.</li> <li>Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford University Press, New York 1972.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Fotnoter">Fotnoter</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fermattal&veaction=edit&section=4" title="Redigera avsnitt: Fotnoter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fermattal&action=edit&section=4" title="Redigera avsnitts källkod: Fotnoter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">^</a> <span class="reference-text"><cite style="font-style:normal" class="book" id="CITEREFKenneth_H._Rosen2011">Kenneth H. Rosen (2011) (på engelska). <i><span>Elementary Number Theory and Its Applications</span></i> (6). <a href="/wiki/Special:Bokk%C3%A4llor/0321717759" title="Special:Bokkällor/0321717759">ISBN 0321717759</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Elementary+Number+Theory+and+Its+Applications&rft.aulast=Kenneth+H.+Rosen&rft.au=Kenneth+H.+Rosen&rft.date=2011&rft.edition=6&rft.isbn=0321717759&rfr_id=info:sid/en.wikipedia.org:Fermattal"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-3"><a href="#cite_ref-3">^</a> <span class="reference-text"><cite style="font-style:normal" class="" id="CITEREFKeller">Keller, Wilfrid, <a rel="nofollow" class="external text" href="http://www.prothsearch.com/fermat.html#Summary">”Prime Factors of Fermat Numbers”</a>, <i>ProthSearch.com</i><span class="printonly">, <a rel="nofollow" class="external free" href="http://www.prothsearch.com/fermat.html#Summary">http://www.prothsearch.com/fermat.html#Summary</a></span></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Prime+Factors+of+Fermat+Numbers&rft.jtitle=ProthSearch.com&rft.aulast=Keller&rft.aufirst=Wilfrid&rft.au=Keller%2C+Wilfrid&rft_id=http%3A%2F%2Fwww.prothsearch.com%2Ffermat.html%23Summary&rfr_id=info:sid/en.wikipedia.org:Fermattal"><span style="display: none;"> </span></span> <span style="font-size:.95em;font-weight:bold;color:var(--color-subtle, #54595d);">(engelska)</span></span> </li> <li id="cite_note-4"><a href="#cite_ref-4">^</a> <span class="reference-text">Wilfrid Keller, <a rel="nofollow" class="external text" href="http://www.prothsearch.com/fermat.html">Prime factors k · 2<sup>n</sup> + 1 of Fermat numbers F<sub>m</sub> and complete factoring status</a>.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">^</a> <span class="reference-text"><cite style="font-style:normal" class="" id="CITEREFLuca2000">Luca, Florian (2000), <a rel="nofollow" class="external text" href="http://www.maa.org/publications/periodicals/american-mathematical-monthly/american-mathematical-monthly-february-2000">”The anti-social Fermat number”</a>, <i>American Mathematical Monthly</i> 107 (2): 171–173, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.2307%2F2589441">10.2307/2589441</a></span><span class="printonly">, <a rel="nofollow" class="external free" href="http://www.maa.org/publications/periodicals/american-mathematical-monthly/american-mathematical-monthly-february-2000">http://www.maa.org/publications/periodicals/american-mathematical-monthly/american-mathematical-monthly-february-2000</a></span></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+anti-social+Fermat+number&rft.jtitle=American+Mathematical+Monthly&rft.aulast=Luca&rft.aufirst=Florian&rft.au=Luca%2C+Florian&rft.date=2000&rft.volume=107&rft.issue=2&rft.pages=171%E2%80%93173&rft_id=info:doi/10.2307%2F2589441&rft_id=http%3A%2F%2Fwww.maa.org%2Fpublications%2Fperiodicals%2Famerican-mathematical-monthly%2Famerican-mathematical-monthly-february-2000&rfr_id=info:sid/en.wikipedia.org:Fermattal"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-6"><a href="#cite_ref-6">^</a> <span class="reference-text"><cite style="font-style:normal" class="" id="CITEREFKřížekLucaSomer2002">Křížek, Michal; Luca, Florian & Somer, Lawrence (2002), <a rel="nofollow" class="external text" href="http://www.sciencedirect.com/science/journal/0022314X/97/1">”On the convergence of series of reciprocals of primes related to the Fermat numbers”</a> (PDF), <i>Journal of Number Theory</i> 97 (1): 95–112, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1006%2Fjnth.2002.2782">10.1006/jnth.2002.2782</a></span><span class="printonly">, <a rel="nofollow" class="external free" href="http://www.sciencedirect.com/science/journal/0022314X/97/1">http://www.sciencedirect.com/science/journal/0022314X/97/1</a></span></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+convergence+of+series+of+reciprocals+of+primes+related+to+the+Fermat+numbers&rft.jtitle=Journal+of+Number+Theory&rft.aulast=K%C5%99%C3%AD%C5%BEek&rft.aufirst=Michal&rft.au=K%C5%99%C3%AD%C5%BEek%2C+Michal&rft.au=Luca%2C+Florian&rft.au=Somer%2C+Lawrence&rft.date=2002&rft.volume=97&rft.issue=1&rft.pages=95%E2%80%93112&rft_id=info:doi/10.1006%2Fjnth.2002.2782&rft_id=http%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Fjournal%2F0022314X%2F97%2F1&rfr_id=info:sid/en.wikipedia.org:Fermattal"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-7"><a href="#cite_ref-7">^</a> <span class="reference-text">Jeppe Stig Nielsen, <a rel="nofollow" class="external text" href="http://jeppesn.dk/nton.html">"S(n) = n^n + 1"</a>.</span> </li> <li id="cite_note-8"><a href="#cite_ref-8">^</a> <span class="reference-text"><cite style="font-style:normal" class="" id="CITEREFGrytczukLucaWójtowicz2001">Grytczuk, A.; Luca, F. & Wójtowicz, M. (2001), ”Another note on the greatest prime factors of Fermat numbers”, <i>Southeast Asian Bulletin of Mathematics</i> 25 (1): 111–115, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007%2Fs10012-001-0111-4">10.1007/s10012-001-0111-4</a></span></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Another+note+on+the+greatest+prime+factors+of+Fermat+numbers&rft.jtitle=Southeast+Asian+Bulletin+of+Mathematics&rft.aulast=Grytczuk&rft.aufirst=A.&rft.au=Grytczuk%2C+A.&rft.au=Luca%2C+F.&rft.au=W%C3%B3jtowicz%2C+M.&rft.date=2001&rft.volume=25&rft.issue=1&rft.pages=111%E2%80%93115&rft_id=info:doi/10.1007%2Fs10012-001-0111-4&rfr_id=info:sid/en.wikipedia.org:Fermattal"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-9"><a href="#cite_ref-9">^</a> <span class="reference-text">Eftersom <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 \scriptstyle 6\cdot 6=36\equiv 6{\pmod {10}}\ \Rightarrow \ a\equiv 6{\pmod {10}}\ \land \ b\equiv 6{\pmod {10}}\ \Rightarrow \ ab\equiv 6{\pmod {10}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mn>6</mn> <mo>⋅</mo> <mn>6</mn> <mo>=</mo> <mn>36</mn> <mo>≡</mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>10</mn> <mo stretchy="false">)</mo> </mrow> <mtext> </mtext> <mo stretchy="false">⇒</mo> <mtext> </mtext> <mi>a</mi> <mo>≡</mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>10</mn> <mo stretchy="false">)</mo> </mrow> <mtext> </mtext> <mo>∧</mo> <mtext> </mtext> <mi>b</mi> <mo>≡</mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>10</mn> <mo stretchy="false">)</mo> </mrow> <mtext> </mtext> <mo stretchy="false">⇒</mo> <mtext> </mtext> <mi>a</mi> <mi>b</mi> <mo>≡</mo> <mn>6</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>10</mn> <mo stretchy="false">)</mo> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle 6\cdot 6=36\equiv 6{\pmod {10}}\ \Rightarrow \ a\equiv 6{\pmod {10}}\ \land \ b\equiv 6{\pmod {10}}\ \Rightarrow \ ab\equiv 6{\pmod {10}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e3e41eb450554224a42b429e0f152948e77d01c4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:56.179ex; height:2.176ex;" alt="{\displaystyle \scriptstyle 6\cdot 6=36\equiv 6{\pmod {10}}\ \Rightarrow \ a\equiv 6{\pmod {10}}\ \land \ b\equiv 6{\pmod {10}}\ \Rightarrow \ ab\equiv 6{\pmod {10}}}"></span>. Eller med bokstäver: Eftersom sex gånger sex är lika med trettiosex, som har en sexa som entalssiffra i det decimala talsystemet, kommer produkten av två tal, båda med sex som entalssiffra, också att ha en sexa som entalssiffra.</span> </li> </ol></div> <style data-mw-deduplicate="TemplateStyles:r56287950">.mw-parser-output table.navbox{border:#aaa 1px solid;width:100%;margin:auto;margin-top:1em;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output link+table.navbox{margin-top:-1px}.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow,.mw-parser-output table.navbox th{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-thlinkcolor .navbox-title button,.mw-parser-output .navbox-thlinkcolor .navbox-title .mw-collapsible-text,.mw-parser-output .navbox-thlinkcolor .navbox-title a{color:inherit}.mw-parser-output .nowraplinks a,.mw-parser-output .nowraplinks .selflink{white-space:nowrap}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right;font-weight:bold;padding-left:1em;padding-right:1em}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-title,.mw-parser-output table.navbox th{background:#b0c4de}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background:#d0e0f5}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background:#deeafa}.mw-parser-output .navbox-even{background:#f7f7f7}.mw-parser-output .navbox-odd{background:transparent}</style><table class="navbox" style="border-spacing:0; ;"><tbody><tr><td style="padding:2px;"><table class="collapsible collapsed" style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="2" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:Naturliga_tal" title="Mall:Naturliga tal"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Naturliga_tal&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Naturliga_tal" title="Naturliga tal">Naturliga tal</a> (ℕ)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;"> Heltalspotenser</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Akillestal" title="Akillestal">Akilles</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tv%C3%A5potens" title="Tvåpotens">Tvåpotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tiopotens" title="Tiopotens">Tiopotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fj%C3%A4rde_potens" title="Fjärde potens">Fjärde potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Femte_potens" title="Femte potens">Femte potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primtalspotens" title="Primtalspotens">Primtalspotens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"> Av formen <i>a</i> × 2<sup><i>b</i></sup> ± 1</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Cullental" title="Cullental">Cullen</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dubbelt_Mersennetal" title="Dubbelt Mersennetal">Dubbelt Mersenne</a><span style="font-weight:bold;"> · </span> <a class="mw-selflink selflink">Fermat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mersennetal" class="mw-redirect" title="Mersennetal">Mersenne</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Prothtal" title="Prothtal">Proth</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Thabittal" title="Thabittal">Thabit</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Woodalltal" title="Woodalltal">Woodall</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra polynomtal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Caroltal" title="Caroltal">Carol</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hilberttal" title="Hilberttal">Hilbert</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kyneatal" title="Kyneatal">Kynea</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leylandtal" title="Leylandtal">Leyland</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Eulers_lyckotal" title="Eulers lyckotal">Eulers lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Rekursion" title="Rekursion">Rekursivt</a> definierade tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Fibonaccital" title="Fibonaccital">Fibonacci</a> (Ordning: <a href="/wiki/Tribonaccital" title="Tribonaccital">3</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tetranaccital" title="Tetranaccital">4</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentanaccital" title="Pentanaccital">5</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexanaccital" title="Hexanaccital">6</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptanaccital" title="Heptanaccital">7</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktanaccital" title="Oktanaccital">8</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonaccital" title="Nonaccital">9</a>)<span style="font-weight:bold;"> · </span> <a href="/wiki/Jacobsthaltal" title="Jacobsthaltal">Jacobsthal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leonardotal" title="Leonardotal">Leonardo</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perrintal" title="Perrintal">Perrin</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Ospecifika <a href="/wiki/M%C3%A4ngd" title="Mängd">mängder</a> av andra <a href="/wiki/Tal" title="Tal">tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Kn%C3%B6deltal" title="Knödeltal">Knödel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Uttryckbara via specifika summor</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Praktiskt_tal" title="Praktiskt tal">Praktiskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Prim%C3%A4rt_pseudoperfekt_tal" title="Primärt pseudoperfekt tal">Primärt pseudoperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ulamtal" title="Ulamtal">Ulam</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Wolstenholmetal" title="Wolstenholmetal">Wolstenholme</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Genererade via ett <a href="/w/index.php?title=S%C3%A5ll_(matematik)&action=edit&redlink=1" class="new" title="Såll (matematik) [inte skriven än]">såll</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Lyckotal" title="Lyckotal">Lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kodning" title="Kodning">Kodrelaterade</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Meertenstal" title="Meertenstal">Meertens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Figurtal" title="Figurtal">Figurtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/2D" class="mw-redirect" title="2D">2D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Polygontal" title="Polygontal">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Triangeltal" title="Triangeltal">Triangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentagontal" title="Pentagontal">5∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexagontal" title="Hexagontal">6∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptagontal" title="Heptagontal">7∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktogontal" title="Oktogontal">8∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonagontal" title="Nonagontal">9∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dekagontal" title="Dekagontal">10∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hendekagontal" title="Hendekagontal">11∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekagontal" title="Dodekagontal">12∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tridekagontal" title="Tridekagontal">13∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tetradekagontal" title="Tetradekagontal">14∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentadekagontal" title="Pentadekagontal">15∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexadekagontal" title="Hexadekagontal">16∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptadekagontal" title="Heptadekagontal">17∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktodekagontal" title="Oktodekagontal">18∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonadekagontal" title="Nonadekagontal">19∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosagontal" title="Ikosagontal">20∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosihenagontal" title="Ikosihenagontal">21∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosidigontal" title="Ikosidigontal">22∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositrigontal" title="Ikositrigontal">23∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositetragontal" title="Ikositetragontal">24∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Myriagontal" title="Myriagontal">Myriagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Centrerat_polygontal" title="Centrerat polygontal">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_triangeltal" title="Centrerat triangeltal">Centrerad triangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_kvadrattal" title="Centrerat kvadrattal">Centrerad kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_pentagontal" title="Centrerat pentagontal">Centrerad pentagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_hexagontal" title="Centrerat hexagontal">Centrerad hexagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_heptagontal" title="Centrerat heptagontal">Centrerad heptagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktogontal" title="Centrerat oktogontal">Centrerad oktogon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_nonagontal" title="Centrerat nonagontal">Centrerad nonagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dekagontal" title="Centrerat dekagontal">Centrerad dekagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Stj%C3%A4rntal" title="Stjärntal">Stjärna</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/3D" class="mw-redirect" title="3D">3D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Polyedertal" class="mw-redirect" title="Polyedertal">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tetraedertal" title="Tetraedertal">Tetraeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kubiktal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktaedertal" title="Oktaedertal">Oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekaedertal" title="Dodekaedertal">Dodekaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosaedertal" title="Ikosaedertal">Ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Centrerat_polyedertal" title="Centrerat polyedertal">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_tetraedertal" title="Centrerat tetraedertal">Centrerad tetraeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_kubiktal" title="Centrerat kubiktal">Centrerad kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktaedertal" title="Centrerat oktaedertal">Centrerad oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dodekaedertal" title="Centrerat dodekaedertal">Centrerad dodekaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_ikosaedertal" title="Centrerat ikosaedertal">Centrerad ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Pyramidtal" title="Pyramidtal">Pyramidtal</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Pentagonalt_pyramidtal" title="Pentagonalt pyramidtal">Pentagonal pyramid</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexagonalt_pyramidtal" title="Hexagonalt pyramidtal">Hexagonal pyramid</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptagonalt_pyramidtal" title="Heptagonalt pyramidtal">Heptagonal pyramid</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/4D" class="mw-redirect" title="4D">4D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tesserakttal" title="Tesserakttal">Tesserakt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">Kvadrattriangulärt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kubkvadrat" class="mw-redirect" title="Kubkvadrat">Kubkvadrat</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Pseudoprimtal" title="Pseudoprimtal">Pseudoprimtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Carmichaeltal" title="Carmichaeltal">Carmichael</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Elliptiskt_pseudoprimtal" title="Elliptiskt pseudoprimtal">Elliptiskt pseudoprimtal</a><span style="font-weight:bold;"> · </span></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kombinatorik" title="Kombinatorik">Kombinatoriska tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Belltal" title="Belltal">Bell</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Catalantal" title="Catalantal">Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fuss%E2%80%93Catalantal" title="Fuss–Catalantal">Fuss–Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Motzkintal" title="Motzkintal">Motzkin</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Schr%C3%B6dertal" title="Schrödertal">Schröder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Aritmetiska funktioner</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen" title="Sigmafunktionen">σ(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Ymnigt_tal" title="Ymnigt tal">Ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Descartestal" title="Descartestal">Descartes</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superperfekt_tal" title="Superperfekt tal">Superfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Ω(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/N%C3%A4stan-primtal" title="Nästan-primtal">Nästan-primtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiprimtal" title="Semiprimtal">Semiprimtal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen#Definition" title="Sigmafunktionen">s(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/V%C3%A4nskapligt_tal" title="Vänskapligt tal">Vänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Semiperfekt_tal" title="Semiperfekt tal">Semiperfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Övriga tal</div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Euklidestal" title="Euklidestal">Euklides</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra <a href="/wiki/Primtalsfaktor" title="Primtalsfaktor">primtalsfaktor</a>- eller <br /><a href="/wiki/Delbarhet" title="Delbarhet">delbarhetsrelarerade</a> tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Erd%C5%91s%E2%80%93Woodstal" title="Erdős–Woodstal">Erdős–Woods</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Giugatal" title="Giugatal">Giuga</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lucas%E2%80%93Carmichaeltal" title="Lucas–Carmichaeltal">Lucas–Carmichael</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sfeniskt_tal" title="Sfeniskt tal">Sfeniskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/St%C3%B8rmertal" title="Størmertal">Størmer</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Zeiseltal" title="Zeiseltal">Zeisel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Talbas" title="Talbas">Bas</a>-beroende tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Cykliskt_tal" title="Cykliskt tal">Cykliskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dudeneytal" title="Dudeneytal">Dudeney</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Extravagant_tal" title="Extravagant tal">Extravagant</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Friedmantal" title="Friedmantal">Friedman</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Glada_tal" title="Glada tal">Glada</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Harshadtal" title="Harshadtal">Harshad</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kaprekartal" title="Kaprekartal">Kaprekar</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Keithtal" title="Keithtal">Keith</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lychreltal" class="mw-redirect" title="Lychreltal">Lychrel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Palindromtal" title="Palindromtal">Palindrom</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Smarandache%E2%80%93Wellintal" title="Smarandache–Wellintal">Smarandache–Wellin</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Vampyrtal" title="Vampyrtal">Vampyr</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" 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