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data-unpinned-container-id="vector-main-menu-unpinned-container" > <div 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 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<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="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=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=Pillaiprimtal" 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=Pillaiprimtal" 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="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=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=Pillaiprimtal" 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=Pillaiprimtal" 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-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">1</span> <span>Källor</span> </div> </a> <ul id="toc-Källor-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="Innehåll" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Innehållsförteckning" > <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">Pillaiprimtal</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 10 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-10" 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">10 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_primer_de_Pillai" title="Nombre primer de Pillai – katalanska" lang="ca" hreflang="ca" data-title="Nombre primer de Pillai" data-language-autonym="Català" data-language-local-name="katalanska" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Pillaische_Primzahl" title="Pillaische Primzahl – tyska" lang="de" hreflang="de" data-title="Pillaische Primzahl" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Pillai_prime" title="Pillai prime – engelska" lang="en" hreflang="en" data-title="Pillai prime" 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_primo_de_Pillai" title="Número primo de Pillai – spanska" lang="es" hreflang="es" data-title="Número primo de Pillai" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_premier_de_Pillai" title="Nombre premier de Pillai – franska" lang="fr" hreflang="fr" data-title="Nombre premier de Pillai" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Pillai-pr%C3%ADmek" title="Pillai-prímek – ungerska" lang="hu" hreflang="hu" data-title="Pillai-prímek" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%94%E3%83%A9%E3%82%A4%E7%B4%A0%E6%95%B0" title="ピライ素数 – japanska" lang="ja" hreflang="ja" data-title="ピライ素数" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_primo_de_Pillai" title="Número primo de Pillai – portugisiska" lang="pt" hreflang="pt" data-title="Número primo de Pillai" data-language-autonym="Português" data-language-local-name="portugisiska" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BF%E0%AE%B3%E0%AF%8D%E0%AE%B3%E0%AF%88_%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="பிள்ளை பகாத்தனி – tamil" lang="ta" hreflang="ta" data-title="பிள்ளை பகாத்தனி" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%9A%AE%E8%90%8A%E8%B3%AA%E6%95%B8" title="皮萊質數 – kinesiska" lang="zh" hreflang="zh" data-title="皮萊質數" 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/Q2842304#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/Pillaiprimtal" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a 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class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Visningar"> <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/Pillaiprimtal"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <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="Verktyg" > <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">Verktyg</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">Verktyg</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">dölj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Fler alternativ" > <div class="vector-menu-heading"> Åtgärder </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/Pillaiprimtal"><span>Läs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&action=history"><span>Visa historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Allmänt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:L%C3%A4nkar_hit/Pillaiprimtal" title="Lista över alla wikisidor som länkar hit [j]" accesskey="j"><span>Sidor som länkar hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:Senaste_relaterade_%C3%A4ndringar/Pillaiprimtal" rel="nofollow" title="Visa senaste ändringarna av sidor som den här sidan länkar till [k]" accesskey="k"><span>Relaterade ändringar</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&oldid=49478041" title="Permanent länk till den här versionen av sidan"><span>Permanent länk</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&action=info" title="Mer information om denna sida"><span>Sidinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:Citera&page=Pillaiprimtal&id=49478041&wpFormIdentifier=titleform" title="Information om hur den här artikeln kan användas som referens"><span>Använd som referens</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FPillaiprimtal"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FPillaiprimtal"><span>Ladda ner QR-kod</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"> Skriv ut/exportera </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=Special:Bok&bookcmd=book_creator&referer=Pillaiprimtal"><span>Skapa en bok</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=Pillaiprimtal&action=show-download-screen"><span>Ladda ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Pillaiprimtal&printable=yes" title="Utskriftsvänlig version av den här sidan [p]" accesskey="p"><span>Utskriftsvänlig version</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"> På andra projekt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q2842304" title="Länk till anslutet databasobjekt [g]" accesskey="g"><span>Wikidata-objekt</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="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <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">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytta till sidofältet</button> <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>Inom <a href="/wiki/Talteori" title="Talteori">talteorin</a> är ett <b>Pillaiprimtal</b> ett <a href="/wiki/Primtal" title="Primtal">primtal</a> <i>p</i> för vilket det finns ett heltal <i>n</i> > 0 sådant att <a href="/wiki/Fakultet_(matematik)" title="Fakultet (matematik)">fakulteten</a> av <i>n</i> är mindre än en multipel av primtalet, men primtalet är inte större än en multipel av <i>n</i>. För att uttrycka det algebraiskt, <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!\equiv -1\mod p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>!</mo> <mo>≡</mo> <mo>−</mo> <mn>1</mn> <mspace width="1em"></mspace> <mi>mod</mi> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n!\equiv -1\mod p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3498a1490fea5582b4859338a2a9686ec6e728c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.542ex; height:2.509ex;" alt="{\displaystyle n!\equiv -1\mod p}" /></span> men <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\not \equiv 1\mod n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>≢</mo> <mn>1</mn> <mspace width="1em"></mspace> <mi>mod</mi> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p\not \equiv 1\mod n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3650558e64690c0349998ad56697d9705da51581" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:15.177ex; height:2.676ex;" alt="{\displaystyle p\not \equiv 1\mod n}" /></span>. </p><p>De första Pillaiprimtalen är: </p> <dl><dd><a href="/wiki/23_(tal)" title="23 (tal)">23</a>, <a href="/wiki/29_(tal)" title="29 (tal)">29</a>, <a href="/wiki/59_(tal)" title="59 (tal)">59</a>, <a href="/wiki/61_(tal)" title="61 (tal)">61</a>, <a href="/wiki/67_(tal)" title="67 (tal)">67</a>, <a href="/wiki/71_(tal)" title="71 (tal)">71</a>, <a href="/wiki/79_(tal)" title="79 (tal)">79</a>, <a href="/wiki/83_(tal)" title="83 (tal)">83</a>, <a href="/wiki/109_(tal)" title="109 (tal)">109</a>, <a href="/wiki/137_(tal)" title="137 (tal)">137</a>, <a href="/wiki/139_(tal)" title="139 (tal)">139</a>, <a href="/wiki/149_(tal)" title="149 (tal)">149</a>, <a href="/wiki/193_(tal)" title="193 (tal)">193</a>, <a href="/wiki/227_(tal)" title="227 (tal)">227</a>, <a href="/wiki/233_(tal)" title="233 (tal)">233</a>, <a href="/wiki/239_(tal)" title="239 (tal)">239</a>, <a href="/wiki/251_(tal)" title="251 (tal)">251</a>, <a href="/wiki/257_(tal)" title="257 (tal)">257</a>, <a href="/wiki/269_(tal)" title="269 (tal)">269</a>, <a href="/wiki/271_(tal)" title="271 (tal)">271</a>, <a href="/wiki/277_(tal)" title="277 (tal)">277</a>, <a href="/wiki/293_(tal)" title="293 (tal)">293</a>, <a href="/wiki/307_(tal)" title="307 (tal)">307</a>, <a href="/wiki/311_(tal)" title="311 (tal)">311</a>, <a href="/wiki/317_(tal)" title="317 (tal)">317</a>, <a href="/wiki/359_(tal)" title="359 (tal)">359</a>, <a href="/wiki/379_(tal)" title="379 (tal)">379</a>, <a href="/wiki/383_(tal)" title="383 (tal)">383</a>, <a href="/wiki/389_(tal)" title="389 (tal)">389</a>, <a href="/wiki/397_(tal)" title="397 (tal)">397</a>, <a href="/wiki/401_(tal)" title="401 (tal)">401</a>, <a href="/wiki/419_(tal)" title="419 (tal)">419</a>, <a href="/wiki/431_(tal)" title="431 (tal)">431</a>, <a href="/wiki/449_(tal)" title="449 (tal)">449</a>, <a href="/wiki/461_(tal)" title="461 (tal)">461</a>, <a href="/wiki/463_(tal)" title="463 (tal)">463</a>, <a href="/wiki/467_(tal)" title="467 (tal)">467</a>, <a href="/wiki/479_(tal)" title="479 (tal)">479</a>, <a href="/wiki/499_(tal)" title="499 (tal)">499</a>, <a href="/wiki/503_(tal)" title="503 (tal)">503</a>, <a href="/wiki/521_(tal)" title="521 (tal)">521</a>, <a href="/wiki/557_(tal)" title="557 (tal)">557</a>, <a href="/wiki/563_(tal)" title="563 (tal)">563</a>, <a href="/wiki/569_(tal)" title="569 (tal)">569</a>, <a href="/wiki/571_(tal)" title="571 (tal)">571</a>, <a href="/wiki/577_(tal)" title="577 (tal)">577</a>, <a href="/wiki/593_(tal)" title="593 (tal)">593</a>, <a href="/wiki/599_(tal)" title="599 (tal)">599</a>, <a href="/wiki/601_(tal)" title="601 (tal)">601</a>, <a href="/wiki/607_(tal)" title="607 (tal)">607</a>, … (talföljd <a href="//oeis.org/A063980" class="extiw" title="oeis:A063980">A063980</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</dd></dl> <p>Pillaiprimtalen är uppallade efter matematikern <a href="/w/index.php?title=Subbayya_Sivasankaranarayana_Pillai&action=edit&redlink=1" class="new" title="Subbayya Sivasankaranarayana Pillai [inte skriven än]">Subbayya Sivasankaranarayana Pillai</a>. Det har bevisats flera gånger att det finns oändligt många Pillaiprimtal, bland annat av Subbarao, Erdős och Hardy & Subbarao. </p> <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=Pillaiprimtal&veaction=edit&section=1" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pillaiprimtal&action=edit&section=1" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li></ul> <dl><dd><span class="plainlinks"><i>Den här artikeln är helt eller delvis baserad på material från <a href="/wiki/Engelskspr%C3%A5kiga_Wikipedia" title="Engelskspråkiga Wikipedia">engelskspråkiga Wikipedia</a>, <a class="external text" href="https://en.wikipedia.org/wiki/Pillai_prime">Pillai prime</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Pillai_prime&oldid=592022576">23 januari 2014</a>.</i></span></dd></dl> <ul><li><cite style="font-style:normal" class="" id="CITEREFGuy2004">Guy, R. K. (2004), <i><span>Unsolved Problems in Number Theory</span></i> (3rd), New York: Springer-Verlag, s. A2, <a href="/wiki/Special:Bokk%C3%A4llor/0-387-20860-7" title="Special:Bokkällor/0-387-20860-7">ISBN 0-387-20860-7</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=Unsolved+Problems+in+Number+Theory&rft.aulast=Guy&rft.aufirst=R.+K.&rft.au=Guy%2C+R.+K.&rft.date=2004&rft.pages=s.%26nbsp%3BA2&rft.edition=3rd&rft.place=New+York&rft.pub=Springer-Verlag&rft.isbn=0-387-20860-7&rfr_id=info:sid/en.wikipedia.org:Pillaiprimtal"><span style="display: none;"> </span></span></li> <li><cite style="font-style:normal" class="" id="CITEREFHardySubbarao2002">Hardy, G. E. & Subbarao, M. V. (2002), ”A modified problem of Pillai and some related questions”, <i><a href="/w/index.php?title=American_Mathematical_Monthly&action=edit&redlink=1" class="new" title="American Mathematical Monthly [inte skriven än]">American Mathematical Monthly</a></i> 109 (6): 554–559, <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%2F2695445">10.2307/2695445</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=A+modified+problem+of+Pillai+and+some+related+questions&rft.jtitle=%5B%5BAmerican+Mathematical+Monthly%5D%5D&rft.aulast=Hardy&rft.aufirst=G.+E.&rft.au=Hardy%2C+G.+E.&rft.au=Subbarao%2C+M.+V.&rft.date=2002&rft.volume=109&rft.issue=6&rft.pages=554%E2%80%93559&rft_id=info:doi/10.2307%2F2695445&rfr_id=info:sid/en.wikipedia.org:Pillaiprimtal"><span style="display: none;"> </span></span></li> <li><a rel="nofollow" class="external text" href="https://planetmath.org/?op=getobj&from=objects&id=8739">Pillai prime</a>, <a href="/wiki/Planetmath" title="Planetmath">PlanetMath.org</a> <span style="font-size:.95em;font-weight:bold;color:var(--color-subtle, #54595d);">(engelska)</span></li></ul> <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="navbox-inner 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:Primtal" title="Mall:Primtal"><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:Primtal&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Primtal" title="Primtal">Primtal</a></span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;">Efter formel</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/Fermatprimtal" title="Fermatprimtal">Fermat</a> (2<sup>2<sup><i>n</i></sup></sup> + 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Mersenneprimtal" title="Mersenneprimtal">Mersenne</a> (2<sup><i>p</i></sup> − 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Dubbelt_Mersenneprimtal&action=edit&redlink=1" class="new" title="Dubbelt Mersenneprimtal [inte skriven än]">Dubbelt Mersenne</a> (2<sup>2<sup><i>p</i></sup>−1</sup> − 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Wagstaffprimtal&action=edit&redlink=1" class="new" title="Wagstaffprimtal [inte skriven än]">Wagstaff</a> (2<sup><i>p</i></sup> + 1)/3<span style="font-weight:bold;"> · </span> <a href="/wiki/Prothprimtal" title="Prothprimtal">Proth</a> (<i>k</i>·2<sup><i>n</i></sup> + 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Fakultetsprimtal" title="Fakultetsprimtal">Fakultetsprimtal</a> (<i>n</i>! ± 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primfakultetsprimtal&action=edit&redlink=1" class="new" title="Primfakultetsprimtal [inte skriven än]">Primfakultetsprimtal</a> (<i>p<sub>n</sub></i># ± 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Euklidestal" title="Euklidestal">Euklides</a> (<i>p<sub>n</sub></i># + 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Pythagoreiska_primtal" title="Pythagoreiska primtal">Pythagoras</a> (4<i>n</i> + 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Pierpontprimtal&action=edit&redlink=1" class="new" title="Pierpontprimtal [inte skriven än]">Pierpont</a> (2<sup><i>u</i></sup>·3<sup><i>v</i></sup> + 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Solinasprimtal" title="Solinasprimtal">Solinas</a> (2<sup><i>a</i></sup> ± 2<sup><i>b</i></sup> ± 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Cullenprimtal" class="mw-redirect" title="Cullenprimtal">Cullen</a> (<i>n</i>·2<sup><i>n</i></sup> + 1)<span style="font-weight:bold;"> · </span> <a href="/wiki/Woodallprimtal" class="mw-redirect" title="Woodallprimtal">Woodall</a> (<i>n</i>·2<sup><i>n</i></sup> − 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Cubanprimtal&action=edit&redlink=1" class="new" title="Cubanprimtal [inte skriven än]">Cuban</a> (<i>x</i><sup>3</sup> − <i>y</i><sup>3</sup>)/(<i>x</i> − <i>y</i>)<span style="font-weight:bold;"> · </span> <a href="/wiki/Carolprimtal" class="mw-redirect" title="Carolprimtal">Carol</a> (2<sup><i>n</i></sup> − 1)<sup>2</sup> − 2)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Kyneaprimtal&action=edit&redlink=1" class="new" title="Kyneaprimtal [inte skriven än]">Kynea</a> (2<sup><i>n</i></sup> + 1)<sup>2</sup> − 2<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Leylandprimtal&action=edit&redlink=1" class="new" title="Leylandprimtal [inte skriven än]">Leyland</a> (<i>x<sup>y</sup></i> + <i>y<sup>x</sup></i>)<span style="font-weight:bold;"> · </span> <a href="/wiki/Thabitprimtal" class="mw-redirect" title="Thabitprimtal">Thabit</a> (3·2<sup><i>n</i></sup> − 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Mills_konstant&action=edit&redlink=1" class="new" title="Mills konstant [inte skriven än]">Mills</a> (floor(<i>A</i><sup>3<sup><i>n</i></sup></sup>))</div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Efter heltalsföljder</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/Fibonacciprimtal" class="mw-redirect" title="Fibonacciprimtal">Fibonacci</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Lucasprimtal&action=edit&redlink=1" class="new" title="Lucasprimtal [inte skriven än]">Lucas</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Motzkinprimtal&action=edit&redlink=1" class="new" title="Motzkinprimtal [inte skriven än]">Motzkin</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Bellprimtal&action=edit&redlink=1" class="new" title="Bellprimtal [inte skriven än]">Bell</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heltalspartition" title="Heltalspartition">Partitioner</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Pellprimtal&action=edit&redlink=1" class="new" title="Pellprimtal [inte skriven än]">Pell</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Perrinprimtal&action=edit&redlink=1" class="new" title="Perrinprimtal [inte skriven än]">Perrin</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Newman%E2%80%93Shanks%E2%80%93Williams-primtal&action=edit&redlink=1" class="new" title="Newman–Shanks–Williams-primtal [inte skriven än]">Newman–Shanks–Williams</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Efter egenskap</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/Lyckoprimtal" class="mw-redirect" title="Lyckoprimtal">Lyckoprimtal</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Wall%E2%80%93Sun%E2%80%93Sun-primtal&action=edit&redlink=1" class="new" title="Wall–Sun–Sun-primtal [inte skriven än]">Wall–Sun–Sun</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Wilsonprimtal" title="Wilsonprimtal">Wilson</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Wieferichprimtal" title="Wieferichprimtal">Wieferich</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Wieferichpar&action=edit&redlink=1" class="new" title="Wieferichpar [inte skriven än]">Wieferichpar</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Gynnsamt_primtal&action=edit&redlink=1" class="new" title="Gynnsamt primtal [inte skriven än]">Gynnsamt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Ramanujanprimtal&action=edit&redlink=1" class="new" title="Ramanujanprimtal [inte skriven än]">Ramanujan</a><span style="font-weight:bold;"> · </span> <a class="mw-selflink selflink">Pillai</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Regelbundet_primtal&action=edit&redlink=1" class="new" title="Regelbundet primtal [inte skriven än]">Regelbundet</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Starkt_primtal&action=edit&redlink=1" class="new" title="Starkt primtal [inte skriven än]">Starkt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sternprimtal&action=edit&redlink=1" class="new" title="Sternprimtal [inte skriven än]">Stern</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Supersingul%C3%A4rt_primtal_(f%C3%B6r_en_elliptisk_kurva)&action=edit&redlink=1" class="new" title="Supersingulärt primtal (för en elliptisk kurva) [inte skriven än]">Supersingulärt primtal (för en elliptisk kurva)</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Supersingul%C3%A4rt_primtal_(moonshineteori)&action=edit&redlink=1" class="new" title="Supersingulärt primtal (moonshineteori) [inte skriven än]">Supersingulärt primtal (moonshineteori)</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Wolstenholmeprimtal&action=edit&redlink=1" class="new" title="Wolstenholmeprimtal [inte skriven än]">Wolstenholme</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Goda_primtal&action=edit&redlink=1" class="new" title="Goda primtal [inte skriven än]">Goda</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superprimtal" title="Superprimtal">Superprimtal</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Higgsprimtal&action=edit&redlink=1" class="new" title="Higgsprimtal [inte skriven än]">Higgs</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=H%C3%B6gt_kototient_tal&action=edit&redlink=1" class="new" title="Högt kototient tal [inte skriven än]">Högt kototient tal</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=F%C3%B6rbjudet_primtal&action=edit&redlink=1" class="new" title="Förbjudet primtal [inte skriven än]">Förbjudet</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Bas-beroende</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/Glada_tal" title="Glada tal">Glada</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Diederprimtal&action=edit&redlink=1" class="new" title="Diederprimtal [inte skriven än]">Dieder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Palindromprimtal" title="Palindromprimtal">Palindrom</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Latmirp" title="Latmirp">Latmirp</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Repunit&action=edit&redlink=1" class="new" title="Repunit [inte skriven än]">Repunit</a> (10<sup><i>n</i></sup> − 1)/9<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Permuterbart_primtal&action=edit&redlink=1" class="new" title="Permuterbart primtal [inte skriven än]">Permuterbart</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Cirkul%C3%A4rt_primtal&action=edit&redlink=1" class="new" title="Cirkulärt primtal [inte skriven än]">Cirkulärt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Trunkerbart_primtal&action=edit&redlink=1" class="new" title="Trunkerbart primtal [inte skriven än]">Trunkerbart</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Strobogrammatiskt_primtal&action=edit&redlink=1" class="new" title="Strobogrammatiskt primtal [inte skriven än]">Strobogrammatiskt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Minimalt_primtal_(rekreationell_matematik)&action=edit&redlink=1" class="new" title="Minimalt primtal (rekreationell matematik) [inte skriven än]">Minimalt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Properi%C3%A4rt_primtal&action=edit&redlink=1" class="new" title="Properiärt primtal [inte skriven än]">Properiärt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Unikt_primtal&action=edit&redlink=1" class="new" title="Unikt primtal [inte skriven än]">Unikt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primitivt_tal&action=edit&redlink=1" class="new" title="Primitivt tal [inte skriven än]">Primitivt</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sj%C3%A4lvtal&action=edit&redlink=1" class="new" title="Självtal [inte skriven än]">Självtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Smarandache%E2%80%93Wellinprimtal" title="Smarandache–Wellinprimtal">Smarandache–Wellin</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Mönster</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/Primtalstvilling" title="Primtalstvilling">Tvilling</a> (<i>p</i>, <i>p</i> + 2)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Bitvillingkedja&action=edit&redlink=1" class="new" title="Bitvillingkedja [inte skriven än]">Bitvillingkedja</a> (<i>p</i> − 1, <i>p</i> + 1, 2<i>p</i> − 1, 2<i>p</i> + 1, …)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primtalstrilling&action=edit&redlink=1" class="new" title="Primtalstrilling [inte skriven än]">Trilling</a> (<i>p</i>, <i>p</i> + 2 or <i>p</i> + 4, <i>p</i> + 6)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primtalsfyrling&action=edit&redlink=1" class="new" title="Primtalsfyrling [inte skriven än]">Fyrling</a> (<i>p</i>, <i>p</i> + 2, <i>p</i> + 6, <i>p</i> + 8)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Prim_k-tupel&action=edit&redlink=1" class="new" title="Prim k-tupel [inte skriven än]">Tupel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primtalskusin" title="Primtalskusin">Kusin</a> (<i>p</i>, <i>p</i> + 4)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Sexprimtal&action=edit&redlink=1" class="new" title="Sexprimtal [inte skriven än]">Sex</a> (<i>p</i>, <i>p</i> + 6)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Chenprimtal&action=edit&redlink=1" class="new" title="Chenprimtal [inte skriven än]">Chen</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sophie_Germainprimtal" title="Sophie Germainprimtal">Sophie Germain</a> (<i>p</i>, 2<i>p</i> + 1)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Cunninghamkedja&action=edit&redlink=1" class="new" title="Cunninghamkedja [inte skriven än]">Cunninghamkedja</a> (<i>p</i>, 2<i>p</i> ± 1, …)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=S%C3%A4kert_primtal&action=edit&redlink=1" class="new" title="Säkert primtal [inte skriven än]">Säkert</a> (<i>p</i>, (<i>p</i> − 1)/2)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primtal_i_aritmetiska_f%C3%B6ljder&action=edit&redlink=1" class="new" title="Primtal i aritmetiska följder [inte skriven än]">Aritmetiska följder</a> (<i>p</i> + <i>a·n</i>, <i>n</i> = 0, 1, …)<span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Balanserat_primtal&action=edit&redlink=1" class="new" title="Balanserat primtal [inte skriven än]">Balanserat</a> (på varandra följande <i>p</i> − <i>n</i>, <i>p</i>, <i>p</i> + <i>n</i>)</div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Efter storlek</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/Titaniska_primtal" title="Titaniska primtal">Titaniska</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Gigantiska_primtal" title="Gigantiska primtal">Gigantiska</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Megaprimtal" title="Megaprimtal">Mega</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Stora_primtal" title="Stora primtal">Största kända</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Komplexa_tal" title="Komplexa tal">Komplexa 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="/w/index.php?title=Eisensteinprimtal&action=edit&redlink=1" class="new" title="Eisensteinprimtal [inte skriven än]">Eisenstein</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Gaussiskt_heltal" title="Gaussiskt heltal">Gaussiskt heltal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Sammansatt_tal" title="Sammansatt tal">Sammansatta 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/Pseudoprimtal" title="Pseudoprimtal">Pseudoprimtal</a><span style="font-weight:bold;"> · </span> <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><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Interprimtal&action=edit&redlink=1" class="new" title="Interprimtal [inte skriven än]">Interprimtal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Relaterade artiklar</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="/w/index.php?title=Sannolikt_primtal&action=edit&redlink=1" class="new" title="Sannolikt primtal [inte skriven än]">Sannolikt primtal</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Industriklassprimtal&action=edit&redlink=1" class="new" title="Industriklassprimtal [inte skriven än]">Industriklassprimtal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Formler_f%C3%B6r_primtal" title="Formler för primtal">Formler</a><span style="font-weight:bold;"> · </span> <a href="/w/index.php?title=Primtalsgap&action=edit&redlink=1" class="new" title="Primtalsgap [inte skriven än]">Primtalsgap</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">De första 100 primtalen</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/2_(tal)" title="2 (tal)">2</a><span style="font-weight:bold;"> · </span> <a href="/wiki/3_(tal)" title="3 (tal)">3</a><span style="font-weight:bold;"> · </span> <a href="/wiki/5_(tal)" title="5 (tal)">5</a><span style="font-weight:bold;"> · </span> <a href="/wiki/7_(tal)" title="7 (tal)">7</a><span style="font-weight:bold;"> · </span> <a href="/wiki/11_(tal)" title="11 (tal)">11</a><span style="font-weight:bold;"> · </span> <a href="/wiki/13_(tal)" title="13 (tal)">13</a><span style="font-weight:bold;"> · </span> <a href="/wiki/17_(tal)" title="17 (tal)">17</a><span style="font-weight:bold;"> · </span> <a href="/wiki/19_(tal)" title="19 (tal)">19</a><span style="font-weight:bold;"> · </span> <a href="/wiki/23_(tal)" title="23 (tal)">23</a><span style="font-weight:bold;"> · </span> <a href="/wiki/29_(tal)" title="29 (tal)">29</a><span style="font-weight:bold;"> · </span> <a href="/wiki/31_(tal)" title="31 (tal)">31</a><span style="font-weight:bold;"> · </span> <a href="/wiki/37_(tal)" title="37 (tal)">37</a><span style="font-weight:bold;"> · </span> <a href="/wiki/41_(tal)" title="41 (tal)">41</a><span style="font-weight:bold;"> · </span> <a href="/wiki/43_(tal)" title="43 (tal)">43</a><span style="font-weight:bold;"> · </span> <a href="/wiki/47_(tal)" title="47 (tal)">47</a><span style="font-weight:bold;"> · </span> <a href="/wiki/53_(tal)" title="53 (tal)">53</a><span style="font-weight:bold;"> · </span> <a href="/wiki/59_(tal)" title="59 (tal)">59</a><span style="font-weight:bold;"> · </span> <a href="/wiki/61_(tal)" title="61 (tal)">61</a><span style="font-weight:bold;"> · </span> <a href="/wiki/67_(tal)" title="67 (tal)">67</a><span style="font-weight:bold;"> · </span> <a href="/wiki/71_(tal)" title="71 (tal)">71</a><span style="font-weight:bold;"> · </span> <a href="/wiki/73_(tal)" title="73 (tal)">73</a><span style="font-weight:bold;"> · </span> <a href="/wiki/79_(tal)" title="79 (tal)">79</a><span style="font-weight:bold;"> · </span> <a href="/wiki/83_(tal)" title="83 (tal)">83</a><span style="font-weight:bold;"> · </span> <a href="/wiki/89_(tal)" title="89 (tal)">89</a><span style="font-weight:bold;"> · </span> <a href="/wiki/97_(tal)" title="97 (tal)">97</a><span style="font-weight:bold;"> · </span> <a href="/wiki/101_(tal)" title="101 (tal)">101</a><span style="font-weight:bold;"> · </span> <a href="/wiki/103_(tal)" title="103 (tal)">103</a><span style="font-weight:bold;"> · </span> <a href="/wiki/107_(tal)" title="107 (tal)">107</a><span style="font-weight:bold;"> · </span> <a href="/wiki/109_(tal)" title="109 (tal)">109</a><span style="font-weight:bold;"> · </span> <a href="/wiki/113_(tal)" title="113 (tal)">113</a><span style="font-weight:bold;"> · </span> <a href="/wiki/127_(tal)" title="127 (tal)">127</a><span style="font-weight:bold;"> · </span> <a href="/wiki/131_(tal)" title="131 (tal)">131</a><span style="font-weight:bold;"> · </span> <a href="/wiki/137_(tal)" title="137 (tal)">137</a><span style="font-weight:bold;"> · </span> <a href="/wiki/139_(tal)" title="139 (tal)">139</a><span style="font-weight:bold;"> · </span> <a href="/wiki/149_(tal)" title="149 (tal)">149</a><span style="font-weight:bold;"> · </span> <a href="/wiki/151_(tal)" title="151 (tal)">151</a><span style="font-weight:bold;"> · </span> <a href="/wiki/157_(tal)" title="157 (tal)">157</a><span style="font-weight:bold;"> · </span> <a href="/wiki/163_(tal)" title="163 (tal)">163</a><span style="font-weight:bold;"> · </span> <a href="/wiki/167_(tal)" title="167 (tal)">167</a><span style="font-weight:bold;"> · </span> <a href="/wiki/173_(tal)" title="173 (tal)">173</a><span style="font-weight:bold;"> · </span> <a href="/wiki/179_(tal)" title="179 (tal)">179</a><span style="font-weight:bold;"> · </span> <a href="/wiki/181_(tal)" title="181 (tal)">181</a><span style="font-weight:bold;"> · </span> <a href="/wiki/191_(tal)" title="191 (tal)">191</a><span style="font-weight:bold;"> · </span> <a href="/wiki/193_(tal)" title="193 (tal)">193</a><span style="font-weight:bold;"> · </span> <a href="/wiki/197_(tal)" title="197 (tal)">197</a><span style="font-weight:bold;"> · </span> <a href="/wiki/199_(tal)" title="199 (tal)">199</a><span style="font-weight:bold;"> · </span> <a href="/wiki/211_(tal)" title="211 (tal)">211</a><span style="font-weight:bold;"> · </span> <a href="/wiki/223_(tal)" title="223 (tal)">223</a><span style="font-weight:bold;"> · </span> <a href="/wiki/227_(tal)" title="227 (tal)">227</a><span style="font-weight:bold;"> · </span> <a href="/wiki/229_(tal)" title="229 (tal)">229</a><span style="font-weight:bold;"> · </span> <a href="/wiki/233_(tal)" title="233 (tal)">233</a><span style="font-weight:bold;"> · </span> <a href="/wiki/239_(tal)" title="239 (tal)">239</a><span style="font-weight:bold;"> · </span> <a href="/wiki/241_(tal)" title="241 (tal)">241</a><span style="font-weight:bold;"> · </span> <a href="/wiki/251_(tal)" title="251 (tal)">251</a><span style="font-weight:bold;"> · </span> <a href="/wiki/257_(tal)" title="257 (tal)">257</a><span style="font-weight:bold;"> · </span> <a href="/wiki/263_(tal)" title="263 (tal)">263</a><span style="font-weight:bold;"> · </span> <a href="/wiki/269_(tal)" title="269 (tal)">269</a><span style="font-weight:bold;"> · </span> <a href="/wiki/271_(tal)" title="271 (tal)">271</a><span style="font-weight:bold;"> · </span> <a href="/wiki/277_(tal)" title="277 (tal)">277</a><span style="font-weight:bold;"> · </span> <a href="/wiki/281_(tal)" title="281 (tal)">281</a><span style="font-weight:bold;"> · </span> <a href="/wiki/283_(tal)" title="283 (tal)">283</a><span style="font-weight:bold;"> · </span> <a href="/wiki/293_(tal)" title="293 (tal)">293</a><span style="font-weight:bold;"> · </span> <a href="/wiki/307_(tal)" title="307 (tal)">307</a><span style="font-weight:bold;"> · </span> <a href="/wiki/311_(tal)" title="311 (tal)">311</a><span style="font-weight:bold;"> · </span> <a href="/wiki/313_(tal)" title="313 (tal)">313</a><span style="font-weight:bold;"> · </span> <a href="/wiki/317_(tal)" title="317 (tal)">317</a><span style="font-weight:bold;"> · </span> <a href="/wiki/331_(tal)" title="331 (tal)">331</a><span style="font-weight:bold;"> · </span> <a href="/wiki/337_(tal)" title="337 (tal)">337</a><span style="font-weight:bold;"> · </span> <a href="/wiki/347_(tal)" title="347 (tal)">347</a><span style="font-weight:bold;"> · </span> <a href="/wiki/349_(tal)" title="349 (tal)">349</a><span style="font-weight:bold;"> · </span> <a href="/wiki/353_(tal)" title="353 (tal)">353</a><span style="font-weight:bold;"> · </span> <a href="/wiki/359_(tal)" title="359 (tal)">359</a><span style="font-weight:bold;"> · </span> <a href="/wiki/367_(tal)" title="367 (tal)">367</a><span style="font-weight:bold;"> · </span> <a href="/wiki/373_(tal)" title="373 (tal)">373</a><span style="font-weight:bold;"> · </span> <a href="/wiki/379_(tal)" title="379 (tal)">379</a><span style="font-weight:bold;"> · </span> <a href="/wiki/383_(tal)" title="383 (tal)">383</a><span style="font-weight:bold;"> · </span> <a href="/wiki/389_(tal)" title="389 (tal)">389</a><span style="font-weight:bold;"> · </span> <a href="/wiki/397_(tal)" title="397 (tal)">397</a><span style="font-weight:bold;"> · </span> <a href="/wiki/401_(tal)" title="401 (tal)">401</a><span style="font-weight:bold;"> · </span> <a href="/wiki/409_(tal)" title="409 (tal)">409</a><span style="font-weight:bold;"> · </span> <a href="/wiki/419_(tal)" title="419 (tal)">419</a><span style="font-weight:bold;"> · </span> <a href="/wiki/421_(tal)" title="421 (tal)">421</a><span style="font-weight:bold;"> · </span> <a href="/wiki/431_(tal)" title="431 (tal)">431</a><span style="font-weight:bold;"> · </span> <a href="/wiki/433_(tal)" title="433 (tal)">433</a><span style="font-weight:bold;"> · </span> <a href="/wiki/439_(tal)" title="439 (tal)">439</a><span style="font-weight:bold;"> · </span> <a href="/wiki/443_(tal)" title="443 (tal)">443</a><span style="font-weight:bold;"> · </span> <a href="/wiki/449_(tal)" title="449 (tal)">449</a><span style="font-weight:bold;"> · </span> <a href="/wiki/457_(tal)" title="457 (tal)">457</a><span style="font-weight:bold;"> · </span> <a href="/wiki/461_(tal)" title="461 (tal)">461</a><span style="font-weight:bold;"> · </span> <a href="/wiki/463_(tal)" title="463 (tal)">463</a><span style="font-weight:bold;"> · </span> <a href="/wiki/467_(tal)" title="467 (tal)">467</a><span style="font-weight:bold;"> · </span> <a href="/wiki/479_(tal)" title="479 (tal)">479</a><span style="font-weight:bold;"> · </span> <a href="/wiki/487_(tal)" title="487 (tal)">487</a><span style="font-weight:bold;"> · </span> <a href="/wiki/491_(tal)" title="491 (tal)">491</a><span style="font-weight:bold;"> · </span> <a href="/wiki/499_(tal)" title="499 (tal)">499</a><span style="font-weight:bold;"> · </span> <a href="/wiki/503_(tal)" title="503 (tal)">503</a><span style="font-weight:bold;"> · </span> <a href="/wiki/509_(tal)" title="509 (tal)">509</a><span style="font-weight:bold;"> · </span> <a href="/wiki/521_(tal)" title="521 (tal)">521</a><span style="font-weight:bold;"> · </span> <a href="/wiki/523_(tal)" title="523 (tal)">523</a><span style="font-weight:bold;"> · </span> <a href="/wiki/541_(tal)" title="541 (tal)">541</a></div></td></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-abovebelow" style=";" colspan="2"><a href="/wiki/Lista_%C3%B6ver_primtal" title="Lista över primtal">Lista över primtal</a></td></tr></tbody></table></td></tr></tbody></table>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Hämtad från ”<a dir="ltr" href="https://sv.wikipedia.org/w/index.php?title=Pillaiprimtal&oldid=49478041">https://sv.wikipedia.org/w/index.php?title=Pillaiprimtal&oldid=49478041</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Wikipedia:Kategorier" title="Wikipedia:Kategorier">Kategori</a>: <ul><li><a href="/wiki/Kategori:Primtalsklasser" title="Kategori:Primtalsklasser">Primtalsklasser</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Dold kategori: <ul><li><a href="/wiki/Kategori:Enwp" title="Kategori:Enwp">Enwp</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"> Sidan redigerades senast den 25 juli 2021 kl. 16.11.</li> <li id="footer-info-copyright">Wikipedias text är tillgänglig under 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