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Numeri pari e dispari - Wikipedia

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class="vector-toc-text">Inizio</div> </a> </li> <li id="toc-Descrizione" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Descrizione"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Descrizione</span> </div> </a> <ul id="toc-Descrizione-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aritmetica_dei_numeri_pari_e_dispari" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Aritmetica_dei_numeri_pari_e_dispari"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Aritmetica dei numeri pari e dispari</span> </div> </a> <button aria-controls="toc-Aritmetica_dei_numeri_pari_e_dispari-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>Attiva/disattiva la sottosezione Aritmetica dei numeri pari e dispari</span> </button> <ul id="toc-Aritmetica_dei_numeri_pari_e_dispari-sublist" class="vector-toc-list"> <li id="toc-Addizione_e_sottrazione" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Addizione_e_sottrazione"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Addizione e sottrazione</span> </div> </a> <ul id="toc-Addizione_e_sottrazione-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Moltiplicazione" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Moltiplicazione"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Moltiplicazione</span> </div> </a> <ul id="toc-Moltiplicazione-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Divisione" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Divisione"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Divisione</span> </div> </a> <ul id="toc-Divisione-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Note" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Note"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Note</span> </div> </a> <ul id="toc-Note-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voci_correlate" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voci_correlate"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Voci correlate</span> </div> </a> <ul id="toc-Voci_correlate-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Altri_progetti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Altri_progetti"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Altri progetti</span> </div> </a> <ul id="toc-Altri_progetti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Collegamenti_esterni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collegamenti_esterni"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-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="Indice" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Indice" > <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="Mostra/Nascondi l&#039;indice" > <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">Mostra/Nascondi l&#039;indice</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">Numeri pari e dispari</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="Vai a una voce in un&#039;altra lingua. Disponibile in 68 lingue" > <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-68" 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">68 lingue</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Pariteit" title="Pariteit - afrikaans" lang="af" hreflang="af" data-title="Pariteit" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A3%D8%B9%D8%AF%D8%A7%D8%AF_%D8%B2%D9%88%D8%AC%D9%8A%D8%A9_%D9%88%D9%81%D8%B1%D8%AF%D9%8A%D8%A9" title="أعداد زوجية وفردية - arabo" lang="ar" hreflang="ar" data-title="أعداد زوجية وفردية" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AF%E0%A7%81%E0%A6%97%E0%A7%8D%E0%A6%AE_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="যুগ্ম সংখ্যা - assamese" lang="as" hreflang="as" data-title="যুগ্ম সংখ্যা" data-language-autonym="অসমীয়া" data-language-local-name="assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/T%C9%99k_v%C9%99_c%C3%BCt_%C9%99d%C9%99dl%C9%99r" title="Tək və cüt ədədlər - azerbaigiano" lang="az" hreflang="az" data-title="Tək və cüt ədədlər" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%AA%DA%A9_%D9%88_%D8%AC%D9%88%D8%AA_%D8%B3%D8%A7%DB%8C%DB%8C%D9%84%D8%A7%D8%B1" title="تک و جوت ساییلار - South Azerbaijani" lang="azb" hreflang="azb" data-title="تک و جوت ساییلار" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%99%D0%BE%D0%BF%D0%BB%D0%BE%D2%A1" title="Йоплоҡ - baschiro" lang="ba" hreflang="ba" data-title="Йоплоҡ" data-language-autonym="Башҡортса" data-language-local-name="baschiro" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B5%D1%82%D0%BD%D0%BE%D1%81%D1%82" title="Четност - bulgaro" lang="bg" hreflang="bg" data-title="Четност" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9C%E0%A7%8B%E0%A6%A1%E0%A6%BC_%E0%A6%93_%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8B%E0%A6%A1%E0%A6%BC_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="জোড় ও বিজোড় সংখ্যা - bengalese" lang="bn" hreflang="bn" data-title="জোড় ও বিজোড় সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_parell" title="Nombre parell - catalano" lang="ca" hreflang="ca" data-title="Nombre parell" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Paridad_(matematica)" title="Paridad (matematica) - Chavacano" lang="cbk" hreflang="cbk" data-title="Paridad (matematica)" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Sud%C3%A1_a_lich%C3%A1_%C4%8D%C3%ADsla" title="Sudá a lichá čísla - ceco" lang="cs" hreflang="cs" data-title="Sudá a lichá čísla" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%AB%D1%82-%D1%82%C4%95%D0%BA%D0%B5%D0%BB" title="Ыт-тĕкел - ciuvascio" lang="cv" hreflang="cv" data-title="Ыт-тĕкел" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Paredd_(mathemateg)" title="Paredd (mathemateg) - gallese" lang="cy" hreflang="cy" data-title="Paredd (mathemateg)" data-language-autonym="Cymraeg" data-language-local-name="gallese" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Paritet_(talteori)" title="Paritet (talteori) - danese" lang="da" hreflang="da" data-title="Paritet (talteori)" data-language-autonym="Dansk" data-language-local-name="danese" 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/Parit%C3%A4t_(Mathematik)" title="Parität (Mathematik) - tedesco" lang="de" hreflang="de" data-title="Parität (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="tedesco" 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%86%CF%81%CF%84%CE%B9%CE%BF%CE%B9_%CE%BA%CE%B1%CE%B9_%CF%80%CE%B5%CF%81%CE%B9%CF%84%CF%84%CE%BF%CE%AF_%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CE%BF%CE%AF" title="Άρτιοι και περιττοί αριθμοί - greco" lang="el" hreflang="el" data-title="Άρτιοι και περιττοί αριθμοί" data-language-autonym="Ελληνικά" data-language-local-name="greco" 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/Parity_(mathematics)" title="Parity (mathematics) - inglese" lang="en" hreflang="en" data-title="Parity (mathematics)" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Pareco_de_nombroj" title="Pareco de nombroj - esperanto" lang="eo" hreflang="eo" data-title="Pareco de nombroj" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmeros_pares_e_impares" title="Números pares e impares - spagnolo" lang="es" hreflang="es" data-title="Números pares e impares" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</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_%D8%B2%D9%88%D8%AC_%D9%88_%D9%81%D8%B1%D8%AF" title="اعداد زوج و فرد - persiano" lang="fa" hreflang="fa" data-title="اعداد زوج و فرد" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Pariteetti_(matematiikka)" title="Pariteetti (matematiikka) - finlandese" lang="fi" hreflang="fi" data-title="Pariteetti (matematiikka)" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Parit%C3%A9_(arithm%C3%A9tique)" title="Parité (arithmétique) - francese" lang="fr" hreflang="fr" data-title="Parité (arithmétique)" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Pariteet" title="Pariteet - frisone settentrionale" lang="frr" hreflang="frr" data-title="Pariteet" data-language-autonym="Nordfriisk" data-language-local-name="frisone settentrionale" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Paridade_(matem%C3%A1ticas)" title="Paridade (matemáticas) - galiziano" lang="gl" hreflang="gl" data-title="Paridade (matemáticas)" data-language-autonym="Galego" data-language-local-name="galiziano" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%96%D7%95%D7%92%D7%99%D7%95%D7%AA_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="זוגיות (מתמטיקה) - ebraico" lang="he" hreflang="he" data-title="זוגיות (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE_%E0%A4%94%E0%A4%B0_%E0%A4%B5%E0%A4%BF%E0%A4%B7%E0%A4%AE_%E0%A4%85%E0%A4%82%E0%A4%95" title="सम और विषम अंक - hindi" lang="hi" hreflang="hi" data-title="सम और विषम अंक" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Parnost_broja" title="Parnost broja - croato" lang="hr" hreflang="hr" data-title="Parnost broja" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/P%C3%A1ros_%C3%A9s_p%C3%A1ratlan_sz%C3%A1mok" title="Páros és páratlan számok - ungherese" lang="hu" hreflang="hu" data-title="Páros és páratlan számok" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B6%D5%B8%D6%82%D5%B5%D5%A3_%D6%87_%D5%AF%D5%A5%D5%B6%D5%BF_%D5%A9%D5%BE%D5%A5%D6%80" title="Զույգ և կենտ թվեր - armeno" lang="hy" hreflang="hy" data-title="Զույգ և կենտ թվեր" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Paritas_(matematika)" title="Paritas (matematika) - indonesiano" lang="id" hreflang="id" data-title="Paritas (matematika)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Pareso" title="Pareso - ido" lang="io" hreflang="io" data-title="Pareso" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%81%B6%E5%A5%87%E6%80%A7" title="偶奇性 - giapponese" lang="ja" hreflang="ja" data-title="偶奇性" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9A%E1%83%A3%E1%83%AC%E1%83%98_%E1%83%93%E1%83%90_%E1%83%99%E1%83%94%E1%83%9C%E1%83%A2%E1%83%98_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%94%E1%83%91%E1%83%98" title="ლუწი და კენტი რიცხვები - georgiano" lang="ka" hreflang="ka" data-title="ლუწი და კენტი რიცხვები" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%96%D2%B1%D0%BF_%D1%81%D0%B0%D0%BD" title="Жұп сан - kazako" lang="kk" hreflang="kk" data-title="Жұп сан" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%99%80%EC%88%98%EC%99%80_%EC%A7%9D%EC%88%98" title="홀수와 짝수 - coreano" lang="ko" hreflang="ko" data-title="홀수와 짝수" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Parit%C3%A9it_(Mathematik)" title="Paritéit (Mathematik) - lussemburghese" lang="lb" hreflang="lb" data-title="Paritéit (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="lussemburghese" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Lyginiai_ir_nelyginiai_skai%C4%8Diai" title="Lyginiai ir nelyginiai skaičiai - lituano" lang="lt" hreflang="lt" data-title="Lyginiai ir nelyginiai skaičiai" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Ankasa_sy_tsiankasa" title="Ankasa sy tsiankasa - malgascio" lang="mg" hreflang="mg" data-title="Ankasa sy tsiankasa" data-language-autonym="Malagasy" data-language-local-name="malgascio" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%87%E0%B4%B0%E0%B4%9F%E0%B5%8D%E0%B4%9F%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="ഇരട്ടസംഖ്യ - malayalam" lang="ml" hreflang="ml" data-title="ഇരട്ടസംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Nombor_genap_dan_ganjil" title="Nombor genap dan ganjil - malese" lang="ms" hreflang="ms" data-title="Nombor genap dan ganjil" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Parit%C3%A0_(matematika)" title="Parità (matematika) - maltese" lang="mt" hreflang="mt" data-title="Parità (matematika)" data-language-autonym="Malti" data-language-local-name="maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Evene_un_unevene_Tallen" title="Evene un unevene Tallen - basso tedesco" lang="nds" hreflang="nds" data-title="Evene un unevene Tallen" data-language-autonym="Plattdüütsch" data-language-local-name="basso tedesco" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Pariteit_(wiskunde)" title="Pariteit (wiskunde) - olandese" lang="nl" hreflang="nl" data-title="Pariteit (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Oddetal_og_partal" title="Oddetal og partal - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Oddetal og partal" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Parzysto%C5%9B%C4%87_liczb" title="Parzystość liczb - polacco" lang="pl" hreflang="pl" data-title="Parzystość liczb" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/N%C3%B9mer_cobi" title="Nùmer cobi - piemontese" lang="pms" hreflang="pms" data-title="Nùmer cobi" data-language-autonym="Piemontèis" data-language-local-name="piemontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Paridade" title="Paridade - portoghese" lang="pt" hreflang="pt" data-title="Paridade" data-language-autonym="Português" data-language-local-name="portoghese" 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%D1%91%D1%82%D0%BD%D1%8B%D0%B5_%D0%B8_%D0%BD%D0%B5%D1%87%D1%91%D1%82%D0%BD%D1%8B%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%B0" title="Чётные и нечётные числа - russo" lang="ru" hreflang="ru" data-title="Чётные и нечётные числа" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/P%C3%A1rne_%C4%8D%C3%ADslo" title="Párne číslo - slovacco" lang="sk" hreflang="sk" data-title="Párne číslo" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Soda_in_liha_%C5%A1tevila" title="Soda in liha števila - sloveno" lang="sl" hreflang="sl" data-title="Soda in liha števila" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/%C3%87ift%C3%ABsia_(matematik%C3%AB)" title="Çiftësia (matematikë) - albanese" lang="sq" hreflang="sq" data-title="Çiftësia (matematikë)" data-language-autonym="Shqip" data-language-local-name="albanese" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%B0%D1%80%D0%BD%D0%B8_%D0%B8_%D0%BD%D0%B5%D0%BF%D0%B0%D1%80%D0%BD%D0%B8_%D0%B1%D1%80%D0%BE%D1%98%D0%B5%D0%B2%D0%B8" title="Парни и непарни бројеви - serbo" lang="sr" hreflang="sr" data-title="Парни и непарни бројеви" data-language-autonym="Српски / srpski" data-language-local-name="serbo" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/J%C3%A4mna_och_udda_tal" title="Jämna och udda tal - svedese" lang="sv" hreflang="sv" data-title="Jämna och udda tal" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Namba_shufwa_na_namba_witiri" title="Namba shufwa na namba witiri - swahili" lang="sw" hreflang="sw" data-title="Namba shufwa na namba witiri" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A8%E0%AE%BF%E0%AE%95%E0%AE%B0%E0%AE%BF_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="நிகரி (கணிதம்) - tamil" lang="ta" hreflang="ta" data-title="நிகரி (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%B4%D0%B0%D0%B4%D2%B3%D0%BE%D0%B8_%D2%B7%D1%83%D1%84%D1%82_%D0%B2%D0%B0_%D1%82%D0%BE%D2%9B" title="Ададҳои ҷуфт ва тоқ - tagico" lang="tg" hreflang="tg" data-title="Ададҳои ҷуфт ва тоқ" data-language-autonym="Тоҷикӣ" data-language-local-name="tagico" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A0%E0%B8%B2%E0%B8%A7%E0%B8%B0%E0%B8%84%E0%B8%B9%E0%B9%88%E0%B8%AB%E0%B8%A3%E0%B8%B7%E0%B8%AD%E0%B8%84%E0%B8%B5%E0%B9%88_(%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C)" title="ภาวะคู่หรือคี่ (คณิตศาสตร์) - thailandese" lang="th" hreflang="th" data-title="ภาวะคู่หรือคี่ (คณิตศาสตร์)" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Kapantayan_(matematika)" title="Kapantayan (matematika) - tagalog" lang="tl" hreflang="tl" data-title="Kapantayan (matematika)" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Parite_(matematik)" title="Parite (matematik) - turco" lang="tr" hreflang="tr" data-title="Parite (matematik)" data-language-autonym="Türkçe" data-language-local-name="turco" 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%9F%D0%B0%D1%80%D0%BD%D1%96%D1%81%D1%82%D1%8C_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Парність (математика) - ucraino" lang="uk" hreflang="uk" data-title="Парність (математика)" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Juft_va_toq_sonlar" title="Juft va toq sonlar - uzbeco" lang="uz" hreflang="uz" data-title="Juft va toq sonlar" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/T%C3%ADnh_ch%E1%BA%B5n_l%E1%BA%BB" title="Tính chẵn lẻ - vietnamita" lang="vi" hreflang="vi" data-title="Tính chẵn lẻ" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%A5%87%E5%81%B6%E6%80%A7%EF%BC%88%E6%95%B0%E5%AD%A6%EF%BC%89" title="奇偶性(数学) - wu" lang="wuu" hreflang="wuu" data-title="奇偶性(数学)" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%92%D7%A8%D7%90%D7%93_(%D7%A0%D7%95%D7%9E%D7%A2%D7%A8)" title="גראד (נומער) - yiddish" lang="yi" hreflang="yi" data-title="גראד (נומער)" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/N%E1%BB%8D%CC%81mb%C3%A0_ad%E1%BB%8D%CC%81gba_%C3%A0ti_a%E1%B9%A3%E1%BA%B9%CC%81k%C3%B9" title="Nọ́mbà adọ́gba àti aṣẹ́kù - yoruba" lang="yo" hreflang="yo" data-title="Nọ́mbà adọ́gba àti aṣẹ́kù" data-language-autonym="Yorùbá" data-language-local-name="yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%A5%87%E5%81%B6%E6%80%A7_(%E6%95%B0%E5%AD%A6)" title="奇偶性 (数学) - cinese" lang="zh" hreflang="zh" data-title="奇偶性 (数学)" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Khia-s%C3%B2%CD%98_kap_ng%C3%B3%CD%98-s%C3%B2%CD%98" title="Khia-sò͘ kap ngó͘-sò͘ - min nan" lang="nan" hreflang="nan" data-title="Khia-sò͘ kap ngó͘-sò͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%96%AE%E9%9B%99%E6%95%B8" title="單雙數 - cantonese" lang="yue" hreflang="yue" data-title="單雙數" data-language-autonym="粵語" data-language-local-name="cantonese" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q230967#sitelinks-wikipedia" title="Modifica collegamenti interlinguistici" class="wbc-editpage">Modifica collegamenti</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav 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.avviso .mbox-text-full-div .hide-when-compact{display:block}</style><div style="" class="ambox metadata plainlinks avviso avviso-contenuto"> <div class="avviso-immagine mbox-image noprint"><span typeof="mw:File"><a href="/wiki/File:Question_book-4.svg" class="mw-file-description" title="Niente fonti!"><img alt="Niente fonti!" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/45px-Question_book-4.svg.png" decoding="async" width="45" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/68px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/90px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></a></span></div> <div class="avviso-testo mbox-text"> <div class="mbox-text-div"><b>Questa voce o sezione &#32;sull'argomento matematica <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">non cita le fonti necessarie</a> o quelle presenti sono insufficienti</b>. <div class="hide-when-compact"> <div class="noprint"><hr />Puoi <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit">migliorare questa voce</a> aggiungendo citazioni da <a href="/wiki/Wikipedia:Fonti_attendibili" title="Wikipedia:Fonti attendibili">fonti attendibili</a> secondo le <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">linee guida sull'uso delle fonti</a>. Segui i suggerimenti del <a href="/wiki/Progetto:Matematica" title="Progetto:Matematica">progetto di riferimento</a>.</div> </div> </div> </div> </div> <figure typeof="mw:File/Thumb"><a href="https://en.wikipedia.org/wiki/File:Parity_of_5_and_6_Cuisenaire_rods.png"><img resource="/wiki/File:Parity_of_5_and_6_Cuisenaire_rods.png" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Parity_of_5_and_6_Cuisenaire_rods.png/275px-Parity_of_5_and_6_Cuisenaire_rods.png" decoding="async" width="275" height="178" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Parity_of_5_and_6_Cuisenaire_rods.png/413px-Parity_of_5_and_6_Cuisenaire_rods.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Parity_of_5_and_6_Cuisenaire_rods.png/550px-Parity_of_5_and_6_Cuisenaire_rods.png 2x" data-file-width="600" data-file-height="388" /></a><figcaption></figcaption></figure> <p>In <a href="/wiki/Matematica" title="Matematica">matematica</a>, ogni <a href="/wiki/Numero_intero" title="Numero intero">numero intero</a> è <b>pari</b> oppure <b>dispari</b>: un numero è pari se è <a href="/wiki/Multiplo" title="Multiplo">multiplo</a> di <a href="/wiki/2_(numero)" title="2 (numero)">2</a>, altrimenti è dispari. Esempi di numero pari sono: −56, 0, 12, 28, 56, 388. Esempi di numero dispari: −7, 19, 83, 95, 463, 1005, 32721. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Descrizione">Descrizione</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=1" title="Modifica la sezione Descrizione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=1" title="Edit section&#39;s source code: Descrizione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'<a href="/wiki/Insieme" title="Insieme">insieme</a> dei numeri pari può essere scritto nel seguente modo: </p> <dl><dd><i>Pari</i> <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\mathbb {Z} =\{\ldots ,-6,-4,-2,0,2,4,6,\ldots \}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo>&#x2026;<!-- … --></mo> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>4</mn> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>4</mn> <mo>,</mo> <mn>6</mn> <mo>,</mo> <mo>&#x2026;<!-- … --></mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =2\mathbb {Z} =\{\ldots ,-6,-4,-2,0,2,4,6,\ldots \}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a0f327bd2efdb4b7a2ec237894036c632b67d74" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:38.256ex; height:2.843ex;" alt="{\displaystyle =2\mathbb {Z} =\{\ldots ,-6,-4,-2,0,2,4,6,\ldots \}}" /></span>.</dd></dl> <p>L'insieme dei numeri dispari può essere scritto nel seguente modo: </p> <dl><dd><i>Dispari</i> <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\mathbb {Z} +1=\{\ldots ,-5,-3,-1,1,3,5,\ldots \}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo>&#x2026;<!-- … --></mo> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>3</mn> <mo>,</mo> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>5</mn> <mo>,</mo> <mo>&#x2026;<!-- … --></mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =2\mathbb {Z} +1=\{\ldots ,-5,-3,-1,1,3,5,\ldots \}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b3b65027d7c576c393134bc37d3eba1e105d2396" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:40.063ex; height:2.843ex;" alt="{\displaystyle =2\mathbb {Z} +1=\{\ldots ,-5,-3,-1,1,3,5,\ldots \}}" /></span>.</dd></dl> <p>La caratterizzazione di un intero relativa all'essere pari o dispari si dice <b>parità</b>. Essa equivale alla appartenenza ad una delle due <a href="/wiki/Aritmetica_modulare" title="Aritmetica modulare">classi di resto</a> modulo 2: [0]<sub>2</sub> per gli interi pari, [1]<sub>2</sub> per i dispari. </p><p>Un numero espresso con il <a href="/wiki/Sistema_di_numerazione" title="Sistema di numerazione">sistema di numerazione</a> <a href="/wiki/Decimale" class="mw-redirect" title="Decimale">decimale</a> è pari o dispari a seconda che la sua ultima cifra sia pari o dispari. Ovvero, se l'ultima cifra è 1, 3, 5, 7, o 9, è dispari, altrimenti è pari. La stessa idea è valida se si usa una qualsiasi base pari. In particolare, un numero espresso nel <a href="/wiki/Sistema_di_numerazione_binario" class="mw-redirect" title="Sistema di numerazione binario">sistema di numerazione binario</a> è dispari se l'ultima cifra è 1 e pari se l'ultima cifra è 0; un intero espresso nella base 4 è pari se la sua ultima cifra è 0 o 2, è dispari in caso contrario, cioè se la sua ultima cifra è 1 o 3. In sistemi di numerazione a base dispari, il numero è pari o dispari a seconda della parità delle somma delle sue cifre, ovvero a seconda della sua <a href="/wiki/Radice_numerica" title="Radice numerica">radice numerica</a>. </p><p>I numeri pari formano un <a href="/wiki/Ideale_(matematica)" title="Ideale (matematica)">ideale</a> nell'<a href="/wiki/Anello_(algebra)" title="Anello (algebra)">anello</a> degli interi, mentre i numeri dispari non formano né un sottogruppo additivo né, a maggior ragione, un ideale. Un intero è pari se è congruente a 0 <a href="/wiki/Aritmetica_modulare" title="Aritmetica modulare">modulo</a> l'ideale, in altre parole se è congruente a 0 modulo 2, e dispari se è congruente a 1 modulo 2. </p><p>Tutti i <a href="/wiki/Numero_primo" title="Numero primo">numeri primi</a> sono dispari con una eccezione: il numero primo 2. Tutti i <a href="/wiki/Numero_perfetto" title="Numero perfetto">numeri perfetti</a> conosciuti sono pari; non si sa se esistano dei numeri perfetti dispari. </p><p>La <a href="/wiki/Congettura_di_Goldbach" title="Congettura di Goldbach">congettura di Goldbach</a> asserisce che qualsiasi numero pari maggiore di 2 può essere rappresentato come una somma di due numeri primi. I calcoli eseguiti con i moderni <a href="/wiki/Computer" title="Computer">computer</a> hanno mostrato che questa congettura è vera per interi fino ad almeno 4 &#215; 10<sup>18</sup>,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> ma non è ancora stata trovata una <a href="/wiki/Dimostrazione_matematica" title="Dimostrazione matematica">dimostrazione matematica</a> generale. </p> <div class="mw-heading mw-heading2"><h2 id="Aritmetica_dei_numeri_pari_e_dispari">Aritmetica dei numeri pari e dispari</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=2" title="Modifica la sezione Aritmetica dei numeri pari e dispari" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=2" title="Edit section&#39;s source code: Aritmetica dei numeri pari e dispari"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Le leggi seguenti possono essere verificate usando le proprietà di <a href="/wiki/Divisibilit%C3%A0" class="mw-redirect" title="Divisibilità">divisibilità</a>, e il fatto che 2 è un numero primo: </p> <div class="mw-heading mw-heading3"><h3 id="Addizione_e_sottrazione">Addizione e sottrazione</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=3" title="Modifica la sezione Addizione e sottrazione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=3" title="Edit section&#39;s source code: Addizione e sottrazione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>pari &#177; pari = pari;</li></ul> <dl><dd>Dimostrazione: 2<i>n</i> &#177; 2<i>m</i> = 2(<i>n</i> &#177; <i>m</i>) che è pari.</dd></dl> <ul><li>pari &#177; dispari = dispari;</li></ul> <dl><dd>Dimostrazione: 2<i>n</i> &#177; (2<i>m</i>+1) = 2(<i>n</i> &#177; <i>m</i>) + 1 che è dispari.</dd></dl> <ul><li>dispari &#177; dispari = pari.</li></ul> <dl><dd>Dimostrazione: (2<i>n</i>+1) &#177; (2<i>m</i>+1) = 2(<i>n</i> &#177; <i>m</i>) + 2 = 2(<i>n</i> &#177; <i>m</i> + 1) che è pari.</dd></dl> <ul><li>dispari &#177; pari = dispari.</li></ul> <dl><dd>Dimostrazione: <i>vedi la</i> 2.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Moltiplicazione">Moltiplicazione</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=4" title="Modifica la sezione Moltiplicazione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=4" title="Edit section&#39;s source code: Moltiplicazione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>pari &#215; pari = pari;</li></ul> <dl><dd>Dimostrazione: 2<i>n</i> &#215; 2<i>m</i> = 4<i>nm</i> ed essendo 4 multiplo di 2 allora il numero è pari.</dd></dl> <ul><li>pari &#215; dispari = pari;</li></ul> <dl><dd>Dimostrazione: 2<i>n</i> &#215; (2<i>m</i>+1) = 4<i>nm</i> + 2<i>n</i> = 2(2<i>nm</i>+<i>n</i>) quindi il risultato è pari.</dd></dl> <ul><li>dispari &#215; dispari = dispari;</li></ul> <dl><dd>Dimostrazione: (2<i>n</i>+1) &#215; (2<i>m</i>+1) = 4<i>nm</i>+2<i>n</i>+2<i>m</i>+1 = 2(2<i>nm</i>+<i>n</i>+<i>m</i>)+1 forma base di un numero dispari.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Divisione">Divisione</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=5" title="Modifica la sezione Divisione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=5" title="Edit section&#39;s source code: Divisione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La <a href="/wiki/Divisione_(matematica)" title="Divisione (matematica)">divisione</a> di due numeri interi non dà necessariamente come risultato un numero intero. Ad esempio, 1 diviso 4 è uguale a 1/4, che non è né pari né dispari, in quanto il concetto di pari o dispari si applica solo agli interi. Ma quando il risultato è un intero: </p> <ul><li>pari / dispari = pari;</li></ul> <dl><dd>Dimostrazione: Sia <i>A</i> un qualsiasi numero pari e <i>B</i> un qualsiasi numero dispari. Un numero si dice pari quando nella sua scomposizione in fattori primi è presente il numero 2 con qualsiasi esponente diverso da 0. Se dividiamo quindi un numero pari per un dispari, il fattore 2 non verrà mai "intaccato". Quindi il risultato sarà di nuovo 2 moltiplicato per qualcosa che è la forma base di un numero pari.</dd></dl> <ul><li>dispari / dispari = dispari;</li></ul> <dl><dd>Dimostrazione: siano <i>A</i> e <i>B</i> dispari. Se per assurdo <i>C</i>=<i>A</i>/<i>B</i> fosse un numero pari, allora sarebbe anche vero che <i>C</i>×<i>B</i> = <i>A</i> e <i>A</i> sarebbe un numero pari (per la dimostrazione data sopra della moltiplicazione tra pari e dispari). Ma questo sappiamo che non può essere per le ipotesi iniziali, quindi abbiamo un assurdo.</dd></dl> <ul><li>pari / pari può dare un risultato o pari o dispari.</li></ul> <dl><dd>Dimostrazione: 2<i>n</i> / 2<i>m</i> = <i>n</i>/<i>m</i> che può essere un risultato pari o dispari a seconda dei casi</dd></dl> <ul><li>dispari / pari non dà mai un risultato intero.</li></ul> <dl><dd>Dimostrazione: (2<i>n</i>+1) / 2<i>m</i> = 2<i>n</i>/2<i>m</i> + 1/2<i>m</i> = <i>n</i>/<i>m</i> + 1/2<i>m</i>. 2<i>m</i>, con m intero, è sicuramente maggiore di 1. Quindi la frazione dà sempre un risultato compreso fra 0 e 1.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=6" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=6" title="Edit section&#39;s source code: Note"><span>modifica wikitesto</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"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) Tomás Oliveira e Silva, <a rel="nofollow" class="external text" href="http://www.ieeta.pt/~tos/goldbach.html"><span style="font-style:italic;">Goldbach conjecture verification</span></a>, su <span style="font-style:italic;">ieeta.pt</span>, 30 dicembre 2015.</cite></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=7" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=7" title="Edit section&#39;s source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Funzioni_pari_e_dispari" title="Funzioni pari e dispari">Funzioni pari e dispari</a></li> <li><a href="/wiki/Parit%C3%A0_dello_zero" title="Parità dello zero">Parità dello zero</a></li> <li><a href="/wiki/Numero" title="Numero">Numero</a></li> <li><a href="/wiki/Numero_intero" title="Numero intero">Numero intero</a></li> <li><a href="/wiki/Permutazione_pari" class="mw-redirect" title="Permutazione pari">Permutazione pari</a></li> <li><a href="/wiki/Relazione_di_congruenza" title="Relazione di congruenza">Relazione di congruenza</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=8" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=8" title="Edit section&#39;s source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><a href="https://it.wikiquote.org/wiki/Numeri_pari_e_dispari" class="extiw" title="q:Numeri pari e dispari">Wikiquote</a></li> <li class="" title=""><span class="plainlinks" title="commons:Category:Parity (mathematics)"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Parity_(mathematics)?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://it.wikiquote.org/wiki/" title="Collabora a Wikiquote"><img alt="Collabora a Wikiquote" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/18px-Wikiquote-logo.svg.png" decoding="async" width="18" height="21" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/27px-Wikiquote-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/36px-Wikiquote-logo.svg.png 2x" data-file-width="300" data-file-height="355" /></a></span> <a href="https://it.wikiquote.org/wiki/" class="extiw" title="q:">Wikiquote</a> contiene citazioni sui <b><a href="https://it.wikiquote.org/wiki/Numeri_pari_e_dispari" class="extiw" title="q:Numeri pari e dispari">numeri pari e dispari</a></b></li> <li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/27px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/36px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=it">Wikimedia Commons</a></span> contiene immagini o altri file sui <b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Parity_(mathematics)?uselang=it">numeri pari e dispari</a></span></b></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;veaction=edit&amp;section=9" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Numeri_pari_e_dispari&amp;action=edit&amp;section=9" title="Edit section&#39;s source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li> <li><cite id="CITEREFMathWorld" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) Eric W. Weisstein, <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/Parity.html"><span style="font-style:italic;">Parity</span></a>, su <span style="font-style:italic;"><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></span>, Wolfram Research.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q230967#P2812" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r141815314">.mw-parser-output .navbox{border:1px solid #aaa;clear:both;margin:auto;padding:2px;width:100%}.mw-parser-output .navbox th{padding-left:1em;padding-right:1em;text-align:center}.mw-parser-output .navbox>tbody>tr:first-child>th{background:#ccf;font-size:90%;width:100%;color:var(--color-base,black)}.mw-parser-output .navbox_navbar{float:left;margin:0;padding:0 10px 0 0;text-align:left;width:6em}.mw-parser-output .navbox_title{font-size:110%}.mw-parser-output .navbox_abovebelow{background:#ddf;font-size:90%;font-weight:normal}.mw-parser-output .navbox_group{background:#ddf;font-size:90%;padding:0 10px;white-space:nowrap}.mw-parser-output .navbox_list{font-size:90%;width:100%}.mw-parser-output .navbox_list a{white-space:nowrap}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_odd{background:#fdfdfd;color:var(--color-base,black)}html:not(.vector-feature-night-mode-enabled) .mw-parser-output .navbox_even{background:#f7f7f7;color:var(--color-base,black)}.mw-parser-output .navbox a.mw-selflink{color:var(--color-base,black)}.mw-parser-output .navbox_center{text-align:center}.mw-parser-output .navbox .navbox_image{padding-left:7px;vertical-align:middle;width:0}.mw-parser-output .navbox+.navbox{margin-top:-1px}.mw-parser-output .navbox .mw-collapsible-toggle{font-weight:normal;text-align:right;width:7em}body.skin--responsive .mw-parser-output .navbox_image img{max-width:none!important}.mw-parser-output .subnavbox{margin:-3px;width:100%}.mw-parser-output .subnavbox_group{background:#e6e6ff;padding:0 10px}@media screen{html.skin-theme-clientpref-night .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-night .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-night .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-night .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbox>tbody>tr:first-child>th{background:var(--background-color-interactive)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox th{color:var(--color-base)!important}html.skin-theme-clientpref-os .mw-parser-output .navbox_abovebelow,html.skin-theme-clientpref-os .mw-parser-output .navbox_group{background:var(--background-color-interactive-subtle)!important}html.skin-theme-clientpref-os .mw-parser-output .subnavbox_group{background:var(--background-color-neutral-subtle)!important}}</style><table class="navbox mw-collapsible mw-collapsed noprint metadata" id="navbox-Teoria_dei_numeri"><tbody><tr><th colspan="3" style="background:#ffc0cb;"><div class="navbox_navbar"><div class="noprint plainlinks" style="background-color:transparent; padding:0; font-size:xx-small; color:var(--color-base, #000000); white-space:nowrap;"><a href="/wiki/Template:Teoria_dei_numeri" title="Template:Teoria dei numeri"><span title="Vai alla pagina del template">V</span></a>&#160;·&#160;<a href="/w/index.php?title=Discussioni_template:Teoria_dei_numeri&amp;action=edit&amp;redlink=1" class="new" title="Discussioni template:Teoria dei numeri (la pagina non esiste)"><span title="Discuti del template">D</span></a>&#160;·&#160;<a class="external text" href="https://it.wikipedia.org/w/index.php?title=Template:Teoria_dei_numeri&amp;action=edit"><span title="Modifica il template. Usa l&#39;anteprima prima di salvare">M</span></a></div></div><span class="navbox_title"><a href="/wiki/Teoria_dei_numeri" title="Teoria dei numeri">Teoria dei numeri</a></span></th></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;"><a href="/wiki/Numero" title="Numero">Numeri</a> più usati</th><td colspan="1" class="navbox_list navbox_odd" style="text-align:left;"><a href="/wiki/Numero_naturale" title="Numero naturale">Naturali</a><b>&#160;·</b> <a href="/wiki/Numero_intero" title="Numero intero">Interi</a><b>&#160;·</b> <a class="mw-selflink selflink">Pari e dispari</a></td><td rowspan="10" class="navbox_image"><figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics-p.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/58px-Nuvola_apps_edu_mathematics-p.svg.png" decoding="async" width="58" height="58" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/87px-Nuvola_apps_edu_mathematics-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/116px-Nuvola_apps_edu_mathematics-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a><figcaption></figcaption></figure></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;">Principi generali</th><td colspan="1" class="navbox_list navbox_even" style="text-align:left;"><a href="/wiki/Principio_d%27induzione" title="Principio d&#39;induzione">Principio d'induzione</a><b>&#160;·</b> <a href="/wiki/Principio_del_buon_ordinamento" title="Principio del buon ordinamento">Principio del buon ordinamento</a><b>&#160;·</b> <a href="/wiki/Relazione_di_equivalenza" title="Relazione di equivalenza">Relazione di equivalenza</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;"><a href="/wiki/Successione_di_interi" title="Successione di interi">Successioni di interi</a></th><td colspan="1" class="navbox_list navbox_odd" style="text-align:left;"><a href="/wiki/Fattoriale" title="Fattoriale">Fattoriale</a><b>&#160;·</b> <a href="/wiki/Successione_di_Fibonacci" title="Successione di Fibonacci">Successione di Fibonacci</a><b>&#160;·</b> <a href="/wiki/Numero_di_Catalan" title="Numero di Catalan">Numero di Catalan</a><b>&#160;·</b> <a href="/wiki/Numero_di_Perrin" title="Numero di Perrin">Numero di Perrin</a><b>&#160;·</b> <a href="/wiki/Numero_di_Eulero_(teoria_dei_numeri)" class="mw-redirect" title="Numero di Eulero (teoria dei numeri)">Numero di Eulero</a><b>&#160;·</b> <a href="/wiki/Successione_di_Mian-Chowla" title="Successione di Mian-Chowla">Successione di Mian-Chowla</a><b>&#160;·</b> <a href="/wiki/Successione_di_Thue-Morse" title="Successione di Thue-Morse">Successione di Thue-Morse</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;">Caratteristiche dei numeri primi</th><td colspan="1" class="navbox_list navbox_even" style="text-align:left;"><a href="/wiki/Numero_primo" title="Numero primo">Numero primo</a><b>&#160;·</b> <a href="/wiki/Lemma_di_Euclide" title="Lemma di Euclide">Lemma di Euclide</a><b>&#160;·</b> <a href="/wiki/Teorema_dell%27infinit%C3%A0_dei_numeri_primi" title="Teorema dell&#39;infinità dei numeri primi">Teorema dell'infinità dei numeri primi</a><b>&#160;·</b> <a href="/wiki/Crivello_di_Eratostene" title="Crivello di Eratostene">Crivello di Eratostene</a><b>&#160;·</b> <a href="/wiki/Test_di_primalit%C3%A0" title="Test di primalità">Test di primalità</a><b>&#160;·</b> <a href="/wiki/Teorema_fondamentale_dell%27aritmetica" title="Teorema fondamentale dell&#39;aritmetica">Teorema fondamentale dell'aritmetica</a><b>&#160;·</b> <a href="/wiki/Interi_coprimi" title="Interi coprimi">Interi coprimi</a><b>&#160;·</b> <a href="/wiki/Identit%C3%A0_di_B%C3%A9zout" title="Identità di Bézout">Identità di Bézout</a><b>&#160;·</b> <a href="/wiki/Massimo_comun_divisore" title="Massimo comun divisore">MCD</a><b>&#160;·</b> <a href="/wiki/Minimo_comune_multiplo" title="Minimo comune multiplo">mcm</a><b>&#160;·</b> <a href="/wiki/Algoritmo_di_Euclide" title="Algoritmo di Euclide">Algoritmo di Euclide</a><b>&#160;·</b> <a href="/wiki/Algoritmo_esteso_di_Euclide" title="Algoritmo esteso di Euclide">Algoritmo esteso di Euclide</a><b>&#160;·</b> <a href="/wiki/Teorema_dei_numeri_primi" title="Teorema dei numeri primi">Teorema dei numeri primi</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;"><a href="/wiki/Funzione_aritmetica" title="Funzione aritmetica">Funzioni aritmetiche</a></th><td colspan="1" class="navbox_list navbox_odd" style="text-align:left;"><a href="/wiki/Funzione_moltiplicativa" title="Funzione moltiplicativa">Funzione moltiplicativa</a><b>&#160;·</b> <a href="/wiki/Funzione_additiva" title="Funzione additiva">Funzione additiva</a><b>&#160;·</b> <a href="/wiki/Convoluzione_di_Dirichlet" title="Convoluzione di Dirichlet">Convoluzione di Dirichlet</a><b>&#160;·</b> <a href="/wiki/Funzione_%CF%86_di_Eulero" title="Funzione φ di Eulero">Funzione φ di Eulero</a><b>&#160;·</b> <a href="/wiki/Funzione_di_M%C3%B6bius" title="Funzione di Möbius">Funzione di Möbius</a><b>&#160;·</b> <a href="/wiki/Funzione_tau_sui_positivi" title="Funzione tau sui positivi">Funzione tau sui positivi</a><b>&#160;·</b> <a href="/wiki/Funzione_sigma" title="Funzione sigma">Funzione sigma</a><b>&#160;·</b> <a href="/wiki/Funzione_di_Liouville" title="Funzione di Liouville">Funzione di Liouville</a><b>&#160;·</b> <a href="/wiki/Funzione_di_Mertens" title="Funzione di Mertens">Funzione di Mertens</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;"><a href="/wiki/Aritmetica_modulare" title="Aritmetica modulare">Aritmetica modulare</a></th><td colspan="1" class="navbox_list navbox_even" style="text-align:left;"><a href="/wiki/Teorema_cinese_del_resto" title="Teorema cinese del resto">Teorema cinese del resto</a><b>&#160;·</b> <a href="/wiki/Piccolo_teorema_di_Fermat" title="Piccolo teorema di Fermat">Piccolo teorema di Fermat</a><b>&#160;·</b> <a href="/wiki/Teorema_di_Eulero_(aritmetica_modulare)" title="Teorema di Eulero (aritmetica modulare)">Teorema di Eulero</a><b>&#160;·</b> <a href="/wiki/Criteri_di_divisibilit%C3%A0" title="Criteri di divisibilità">Criteri di divisibilità</a><b>&#160;·</b> <a href="/wiki/Teorema_di_Fermat_sulle_somme_di_due_quadrati" title="Teorema di Fermat sulle somme di due quadrati">Teorema di Fermat sulle somme di due quadrati</a><b>&#160;·</b> <a href="/wiki/Teorema_di_Wilson" title="Teorema di Wilson">Teorema di Wilson</a><b>&#160;·</b> <a href="/wiki/Reciprocit%C3%A0_quadratica" title="Reciprocità quadratica">Legge di reciprocità quadratica</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;"><a href="/wiki/Congettura" title="Congettura">Congetture</a></th><td colspan="1" class="navbox_list navbox_odd" style="text-align:left;"><a href="/wiki/Congettura_di_Goldbach" title="Congettura di Goldbach">Congettura di Goldbach</a><b>&#160;·</b> <a href="/wiki/Congettura_di_Polignac" title="Congettura di Polignac">Congettura di Polignac</a><b>&#160;·</b> <a href="/wiki/Congettura_abc" title="Congettura abc">Congettura abc</a><b>&#160;·</b> <a href="/wiki/Congettura_dei_numeri_primi_gemelli" title="Congettura dei numeri primi gemelli">Congettura dei numeri primi gemelli</a><b>&#160;·</b> <a href="/wiki/Congettura_di_Legendre" title="Congettura di Legendre">Congettura di Legendre</a><b>&#160;·</b> <a href="/wiki/Nuova_congettura_di_Mersenne" title="Nuova congettura di Mersenne">Nuova congettura di Mersenne</a><b>&#160;·</b> <a href="/wiki/Congettura_di_Collatz" title="Congettura di Collatz">Congettura di Collatz</a><b>&#160;·</b> <a href="/wiki/Ipotesi_di_Riemann" title="Ipotesi di Riemann">Ipotesi di Riemann</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;">Altro</th><td colspan="1" class="navbox_list navbox_even" style="text-align:left;"><a href="/wiki/Problema_di_Waring" title="Problema di Waring">Problema di Waring</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;">Principali teorici</th><td colspan="1" class="navbox_list navbox_odd" style="text-align:left;"><a href="/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci">Fibonacci</a><b>&#160;·</b> <a href="/wiki/Pierre_de_Fermat" title="Pierre de Fermat">Fermat</a><b>&#160;·</b> <a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a><b>&#160;·</b> <a href="/wiki/Eulero" title="Eulero">Eulero</a><b>&#160;·</b> <a href="/wiki/Adrien-Marie_Legendre" title="Adrien-Marie Legendre">Legendre</a><b>&#160;·</b> <a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Riemann</a><b>&#160;·</b> <a href="/wiki/Peter_Gustav_Lejeune_Dirichlet" title="Peter Gustav Lejeune Dirichlet">Dirichlet</a></td></tr><tr><th colspan="1" class="navbox_group" style="background:#FFE0E0; text-align:right;">Discipline connesse</th><td colspan="1" class="navbox_list navbox_even" style="text-align:left;"><a href="/wiki/Teoria_algebrica_dei_numeri" title="Teoria algebrica dei numeri">Teoria algebrica dei numeri</a><b>&#160;·</b> <a href="/wiki/Teoria_analitica_dei_numeri" title="Teoria analitica dei numeri">Teoria analitica dei numeri</a><b>&#160;·</b> <a href="/wiki/Crittografia" title="Crittografia">Crittografia</a><b>&#160;·</b> <a href="/wiki/Teoria_computazionale_dei_numeri" title="Teoria computazionale dei numeri">Teoria computazionale dei numeri</a></td></tr></tbody></table> <div class="noprint" style="width:100%; padding: 3px 0; display: flex; flex-wrap: wrap; row-gap: 4px; column-gap: 8px; box-sizing: border-box;"><div style="flex-grow: 1"><style data-mw-deduplicate="TemplateStyles:r140555418">.mw-parser-output .itwiki-template-occhiello{width:100%;line-height:25px;border:1px solid #CCF;background-color:#F0EEFF;box-sizing:border-box}.mw-parser-output .itwiki-template-occhiello-progetto{background-color:#FAFAFA}@media screen{html.skin-theme-clientpref-night .mw-parser-output .itwiki-template-occhiello{background-color:#202122;border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .itwiki-template-occhiello-progetto{background-color:#282929}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .itwiki-template-occhiello{background-color:#202122;border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .itwiki-template-occhiello-progetto{background-color:#282929}}</style><div class="itwiki-template-occhiello"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Crystal128-kmplot.svg" class="mw-file-description" title="Matematica"><img alt="&#160;" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/af/Crystal128-kmplot.svg/25px-Crystal128-kmplot.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/af/Crystal128-kmplot.svg/38px-Crystal128-kmplot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/af/Crystal128-kmplot.svg/50px-Crystal128-kmplot.svg.png 2x" data-file-width="245" data-file-height="244" /></a></span>&#32;<b><a href="/wiki/Portale:Matematica" title="Portale:Matematica">Portale Matematica</a></b>&#58; 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