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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</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"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</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/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</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="사이트"> <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="목차" 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">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</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">처음 위치</div> </a> </li> <li id="toc-기원" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#기원"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>기원</span> </div> </a> <ul id="toc-기원-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-골트바흐의_추측의_종류" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#골트바흐의_추측의_종류"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>골트바흐의 추측의 종류</span> </div> </a> <ul id="toc-골트바흐의_추측의_종류-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-골트바흐_숫자" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#골트바흐_숫자"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>골트바흐 숫자</span> </div> </a> <ul id="toc-골트바흐_숫자-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-확인된_수치적_결과" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#확인된_수치적_결과"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>확인된 수치적 결과</span> </div> </a> <ul id="toc-확인된_수치적_결과-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-최근의_결과" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#최근의_결과"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>최근의 결과</span> </div> </a> <ul id="toc-최근의_결과-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-쌍둥이_소수_추측과의_관계" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#쌍둥이_소수_추측과의_관계"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>쌍둥이 소수 추측과의 관계</span> </div> </a> <ul id="toc-쌍둥이_소수_추측과의_관계-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-각주" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#각주"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>각주</span> </div> </a> <ul id="toc-각주-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-외부_링크" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#외부_링크"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>외부 링크</span> </div> </a> <ul id="toc-외부_링크-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-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="목차" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="목차 토글" > <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">목차 토글</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">골트바흐의 추측</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="다른 언어로 문서를 방문합니다. 55개 언어로 읽을 수 있습니다" > <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-55" 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">55개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%AF%D8%B3%D9%8A%D8%A9_%D8%BA%D9%88%D9%84%D8%AF%D8%A8%D8%A7%D8%AE" title="حدسية غولدباخ – 아랍어" lang="ar" hreflang="ar" data-title="حدسية غولدباخ" data-language-autonym="العربية" data-language-local-name="아랍어" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A5%D0%B8%D0%BF%D0%BE%D1%82%D0%B5%D0%B7%D0%B0_%D0%BD%D0%B0_%D0%93%D0%BE%D0%BB%D0%B4%D0%B1%D0%B0%D1%85" title="Хипотеза на Голдбах – 불가리아어" lang="bg" hreflang="bg" data-title="Хипотеза на Голдбах" data-language-autonym="Български" data-language-local-name="불가리아어" 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%97%E0%A7%8B%E0%A6%B2%E0%A7%8D%E0%A6%A1%E0%A6%AC%E0%A6%BE%E0%A6%96_%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AE%E0%A6%BE%E0%A6%A8" title="গোল্ডবাখ অনুমান – 벵골어" lang="bn" hreflang="bn" data-title="গোল্ডবাখ অনুমান" data-language-autonym="বাংলা" data-language-local-name="벵골어" 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/Conjectura_de_Goldbach" title="Conjectura de Goldbach – 카탈로니아어" lang="ca" hreflang="ca" data-title="Conjectura de Goldbach" data-language-autonym="Català" data-language-local-name="카탈로니아어" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%DB%95%D8%B2%D9%86%D8%AF%DB%95%DB%8C_%DA%AF%DB%86%DA%B5%D8%AF%D8%A8%D8%A7%D8%AE" title="مەزندەی گۆڵدباخ – 소라니 쿠르드어" lang="ckb" hreflang="ckb" data-title="مەزندەی گۆڵدباخ" data-language-autonym="کوردی" data-language-local-name="소라니 쿠르드어" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Cungittura_di_Goldbach" title="Cungittura di Goldbach – 코르시카어" lang="co" hreflang="co" data-title="Cungittura di Goldbach" data-language-autonym="Corsu" data-language-local-name="코르시카어" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Goldbachova_hypot%C3%A9za" title="Goldbachova hypotéza – 체코어" lang="cs" hreflang="cs" data-title="Goldbachova hypotéza" data-language-autonym="Čeština" data-language-local-name="체코어" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Goldbachs_formodning" title="Goldbachs formodning – 덴마크어" lang="da" hreflang="da" data-title="Goldbachs formodning" data-language-autonym="Dansk" data-language-local-name="덴마크어" 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/Goldbachsche_Vermutung" title="Goldbachsche Vermutung – 독일어" lang="de" hreflang="de" data-title="Goldbachsche Vermutung" data-language-autonym="Deutsch" data-language-local-name="독일어" 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%95%CE%B9%CE%BA%CE%B1%CF%83%CE%AF%CE%B1_%CF%84%CE%BF%CF%85_%CE%93%CE%BA%CF%8C%CE%BB%CE%BD%CF%84%CE%BC%CF%80%CE%B1%CF%87" title="Εικασία του Γκόλντμπαχ – 그리스어" lang="el" hreflang="el" data-title="Εικασία του Γκόλντμπαχ" data-language-autonym="Ελληνικά" data-language-local-name="그리스어" 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/Goldbach%27s_conjecture" title="Goldbach's conjecture – 영어" lang="en" hreflang="en" data-title="Goldbach's conjecture" data-language-autonym="English" data-language-local-name="영어" 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/Konjekto_de_Goldbach" title="Konjekto de Goldbach – 에스페란토어" lang="eo" hreflang="eo" data-title="Konjekto de Goldbach" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" 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/Conjetura_de_Goldbach" title="Conjetura de Goldbach – 스페인어" lang="es" hreflang="es" data-title="Conjetura de Goldbach" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Goldbachen_aieru" title="Goldbachen aieru – 바스크어" lang="eu" hreflang="eu" data-title="Goldbachen aieru" data-language-autonym="Euskara" data-language-local-name="바스크어" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AD%D8%AF%D8%B3_%DA%AF%D9%84%D8%AF%D8%A8%D8%A7%D8%AE" title="حدس گلدباخ – 페르시아어" lang="fa" hreflang="fa" data-title="حدس گلدباخ" data-language-autonym="فارسی" data-language-local-name="페르시아어" 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/Goldbachin_konjektuuri" title="Goldbachin konjektuuri – 핀란드어" lang="fi" hreflang="fi" data-title="Goldbachin konjektuuri" data-language-autonym="Suomi" data-language-local-name="핀란드어" 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/Conjecture_de_Goldbach" title="Conjecture de Goldbach – 프랑스어" lang="fr" hreflang="fr" data-title="Conjecture de Goldbach" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Meatuairim_Goldbach" title="Meatuairim Goldbach – 아일랜드어" lang="ga" hreflang="ga" data-title="Meatuairim Goldbach" data-language-autonym="Gaeilge" data-language-local-name="아일랜드어" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Conxectura_de_Goldbach" title="Conxectura de Goldbach – 갈리시아어" lang="gl" hreflang="gl" data-title="Conxectura de Goldbach" data-language-autonym="Galego" data-language-local-name="갈리시아어" 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%94%D7%A9%D7%A2%D7%A8%D7%AA_%D7%92%D7%95%D7%9C%D7%93%D7%91%D7%9A" title="השערת גולדבך – 히브리어" lang="he" hreflang="he" data-title="השערת גולדבך" data-language-autonym="עברית" data-language-local-name="히브리어" 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%97%E0%A5%8B%E0%A4%B2%E0%A5%8D%E0%A4%A1%E0%A4%AC%E0%A5%88%E0%A4%95_%E0%A4%95%E0%A4%BE_%E0%A4%85%E0%A4%A8%E0%A5%81%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="गोल्डबैक का अनुमान – 힌디어" lang="hi" hreflang="hi" data-title="गोल्डबैक का अनुमान" data-language-autonym="हिन्दी" data-language-local-name="힌디어" 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/Goldbachova_hipoteza" title="Goldbachova hipoteza – 크로아티아어" lang="hr" hreflang="hr" data-title="Goldbachova hipoteza" data-language-autonym="Hrvatski" data-language-local-name="크로아티아어" 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/Goldbach-sejt%C3%A9s" title="Goldbach-sejtés – 헝가리어" lang="hu" hreflang="hu" data-title="Goldbach-sejtés" data-language-autonym="Magyar" data-language-local-name="헝가리어" 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%B3%D5%B8%D5%AC%D5%A4%D5%A2%D5%A1%D5%AD%D5%AB_%D5%AD%D5%B6%D5%A4%D5%AB%D6%80" title="Գոլդբախի խնդիր – 아르메니아어" lang="hy" hreflang="hy" data-title="Գոլդբախի խնդիր" data-language-autonym="Հայերեն" data-language-local-name="아르메니아어" 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/Konjektur_Goldbach" title="Konjektur Goldbach – 인도네시아어" lang="id" hreflang="id" data-title="Konjektur Goldbach" data-language-autonym="Bahasa Indonesia" data-language-local-name="인도네시아어" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Congettura_di_Goldbach" title="Congettura di Goldbach – 이탈리아어" lang="it" hreflang="it" data-title="Congettura di Goldbach" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%B4%E3%83%BC%E3%83%AB%E3%83%89%E3%83%90%E3%83%83%E3%83%8F%E3%81%AE%E4%BA%88%E6%83%B3" title="ゴールドバッハの予想 – 일본어" lang="ja" hreflang="ja" data-title="ゴールドバッハの予想" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%93%D0%BE%D0%BB%D0%B4%D0%B1%D0%B0%D1%85_%D0%B5%D1%81%D0%B5%D0%B1%D1%96" title="Голдбах есебі – 카자흐어" lang="kk" hreflang="kk" data-title="Голдбах есебі" data-language-autonym="Қазақша" data-language-local-name="카자흐어" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%93%D0%BE%D0%BB%D1%8C%D0%B4%D0%B1%D0%B0%D1%85_%D0%BA%D3%A9%D0%B9%D0%B3%D3%A9%D0%B9%D2%AF" title="Гольдбах көйгөйү – 키르기스어" lang="ky" hreflang="ky" data-title="Гольдбах көйгөйү" data-language-autonym="Кыргызча" data-language-local-name="키르기스어" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Goldbaha_probl%C4%93ma" title="Goldbaha problēma – 라트비아어" lang="lv" hreflang="lv" data-title="Goldbaha problēma" data-language-autonym="Latviešu" data-language-local-name="라트비아어" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B5%8B%E0%B5%BE%E0%B4%A1%E0%B5%8D_%E0%B4%AC%E0%B4%BE%E0%B4%B9%E0%B5%8D_%E0%B4%B8%E0%B4%BF%E0%B4%A6%E0%B5%8D%E0%B4%A7%E0%B4%BE%E0%B4%A8%E0%B5%8D%E0%B4%A4%E0%B4%82" title="ഗോൾഡ് ബാഹ് സിദ്ധാന്തം – 말라얄람어" lang="ml" hreflang="ml" data-title="ഗോൾഡ് ബാഹ് സിദ്ധാന്തം" data-language-autonym="മലയാളം" data-language-local-name="말라얄람어" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Vermoeden_van_Goldbach" title="Vermoeden van Goldbach – 네덜란드어" lang="nl" hreflang="nl" data-title="Vermoeden van Goldbach" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Goldbachs_formodning" title="Goldbachs formodning – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Goldbachs formodning" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Hipoteza_Goldbacha" title="Hipoteza Goldbacha – 폴란드어" lang="pl" hreflang="pl" data-title="Hipoteza Goldbacha" data-language-autonym="Polski" data-language-local-name="폴란드어" 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/Congetura_%C3%ABd_Goldbach" title="Congetura ëd Goldbach – Piedmontese" lang="pms" hreflang="pms" data-title="Congetura ëd Goldbach" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" 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/Conjetura_de_Goldbach" title="Conjetura de Goldbach – 포르투갈어" lang="pt" hreflang="pt" data-title="Conjetura de Goldbach" data-language-autonym="Português" data-language-local-name="포르투갈어" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Conjectura_lui_Goldbach" title="Conjectura lui Goldbach – 루마니아어" lang="ro" hreflang="ro" data-title="Conjectura lui Goldbach" data-language-autonym="Română" data-language-local-name="루마니아어" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D0%B1%D0%BB%D0%B5%D0%BC%D0%B0_%D0%93%D0%BE%D0%BB%D1%8C%D0%B4%D0%B1%D0%B0%D1%85%D0%B0" title="Проблема Гольдбаха – 러시아어" lang="ru" hreflang="ru" data-title="Проблема Гольдбаха" data-language-autonym="Русский" data-language-local-name="러시아어" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Cungittura_di_Goldbach" title="Cungittura di Goldbach – 시칠리아어" lang="scn" hreflang="scn" data-title="Cungittura di Goldbach" data-language-autonym="Sicilianu" data-language-local-name="시칠리아어" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Goldbach%27s_conjecture" title="Goldbach's conjecture – Simple English" lang="en-simple" hreflang="en-simple" data-title="Goldbach's conjecture" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Goldbachova_domnienka" title="Goldbachova domnienka – 슬로바키아어" lang="sk" hreflang="sk" data-title="Goldbachova domnienka" data-language-autonym="Slovenčina" data-language-local-name="슬로바키아어" 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/Goldbachova_domneva" title="Goldbachova domneva – 슬로베니아어" lang="sl" hreflang="sl" data-title="Goldbachova domneva" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Goldbahova_hipoteza" title="Goldbahova hipoteza – 세르비아어" lang="sr" hreflang="sr" data-title="Goldbahova hipoteza" data-language-autonym="Српски / srpski" data-language-local-name="세르비아어" 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/Goldbachs_hypotes" title="Goldbachs hypotes – 스웨덴어" lang="sv" hreflang="sv" data-title="Goldbachs hypotes" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AF%8B%E0%AE%B2%E0%AF%8D%E0%AE%9F%E0%AF%81%E0%AE%AA%E0%AF%87%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%85%E0%AE%A9%E0%AF%81%E0%AE%AE%E0%AE%BE%E0%AE%A9%E0%AE%AE%E0%AF%8D" title="கோல்டுபேக்கின் அனுமானம் – 타밀어" lang="ta" hreflang="ta" data-title="கோல்டுபேக்கின் அனுமானம்" data-language-autonym="தமிழ்" data-language-local-name="타밀어" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%82%E0%B9%89%E0%B8%AD%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%84%E0%B8%B2%E0%B8%94%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%93%E0%B9%8C%E0%B8%82%E0%B8%AD%E0%B8%87%E0%B8%81%E0%B9%87%E0%B8%AD%E0%B8%A5%E0%B8%97%E0%B9%8C%E0%B8%9A%E0%B8%B1%E0%B8%84" title="ข้อความคาดการณ์ของก็อลท์บัค – 태국어" lang="th" hreflang="th" data-title="ข้อความคาดการณ์ของก็อลท์บัค" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Goldbach_hipotezi" title="Goldbach hipotezi – 터키어" lang="tr" hreflang="tr" data-title="Goldbach hipotezi" data-language-autonym="Türkçe" data-language-local-name="터키어" 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%93%D1%96%D0%BF%D0%BE%D1%82%D0%B5%D0%B7%D0%B0_%D2%90%D0%BE%D0%BB%D1%8C%D0%B4%D0%B1%D0%B0%D1%85%D0%B0" title="Гіпотеза Ґольдбаха – 우크라이나어" lang="uk" hreflang="uk" data-title="Гіпотеза Ґольдбаха" data-language-autonym="Українська" data-language-local-name="우크라이나어" 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/Goldbax_muammosi" title="Goldbax muammosi – 우즈베크어" lang="uz" hreflang="uz" data-title="Goldbax muammosi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="우즈베크어" 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/Gi%E1%BA%A3_thuy%E1%BA%BFt_Goldbach" title="Giả thuyết Goldbach – 베트남어" lang="vi" hreflang="vi" data-title="Giả thuyết Goldbach" data-language-autonym="Tiếng Việt" data-language-local-name="베트남어" 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%93%A5%E5%BE%B7%E5%B7%B4%E8%B5%AB%E7%8C%9C%E6%83%B3" title="哥德巴赫猜想 – 우어" lang="wuu" hreflang="wuu" data-title="哥德巴赫猜想" data-language-autonym="吴语" data-language-local-name="우어" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh badge-Q17437798 badge-goodarticle mw-list-item" title="좋은 글"><a href="https://zh.wikipedia.org/wiki/%E5%93%A5%E5%BE%B7%E5%B7%B4%E8%B5%AB%E7%8C%9C%E6%83%B3" title="哥德巴赫猜想 – 중국어" lang="zh" hreflang="zh" data-title="哥德巴赫猜想" data-language-autonym="中文" data-language-local-name="중국어" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%93%A5%E5%BE%B7%E5%B7%B4%E8%B5%AB%E7%8C%9C%E6%83%B3" title="哥德巴赫猜想 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="哥德巴赫猜想" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Goldbach_Chhai-chhek" title="Goldbach Chhai-chhek – 민난어" lang="nan" hreflang="nan" data-title="Goldbach Chhai-chhek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="민난어" 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%93%A5%E5%BE%B7%E5%B7%B4%E8%B5%AB%E7%8C%9C%E6%83%B3" title="哥德巴赫猜想 – 광둥어" lang="yue" hreflang="yue" data-title="哥德巴赫猜想" data-language-autonym="粵語" data-language-local-name="광둥어" 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/Q485520#sitelinks-wikipedia" title="언어 간 링크 편집" class="wbc-editpage">링크 편집</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="이름공간"> <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 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class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="페이지 도구"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="보이기"> <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">보이기</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button 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href="/wiki/%EC%86%8C%EC%88%98_(%EC%88%98%EB%A1%A0)" title="소수 (수론)">소수</a>(Prime number)의 합으로 표시할 수 있다는 것이다. 이때 하나의 소수를 두 번 사용하는 것은 허용한다.<sup id="cite_ref-MathWorldConj_1-0" class="reference"><a href="#cite_note-MathWorldConj-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="기원"><span id=".EA.B8.B0.EC.9B.90"></span>기원</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=1" title="부분 편집: 기원"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>1742년 6월 7일에 프로이센 수학자 <a href="/wiki/%ED%81%AC%EB%A6%AC%EC%8A%A4%ED%8B%B0%EC%95%88_%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90" title="크리스티안 골트바흐">크리스티안 골트바흐</a>(Christian Goldbach)는 <a href="/wiki/%EB%A0%88%EC%98%A8%ED%95%98%EB%A5%B4%ED%8A%B8_%EC%98%A4%EC%9D%BC%EB%9F%AC" title="레온하르트 오일러">레온하르트 오일러</a>에게 편지를 보내 다음과 같은 추측을 제안하였다.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <blockquote class="templatequote"><p>두 소수의 합으로 표현 가능한 모든 정수는, 모든 항이 1이 될 때까지 원하는 만큼 얼마든지 많은 개수의 소수의 합으로 분해할 수 있다. </p></blockquote> <p>그는 편지의 말미에 다음과 같은 두 번째 추측을 했다. </p> <blockquote class="templatequote"><p>2보다 큰 모든 정수는 세 개의 소수의 합으로 표현가능하다. </p></blockquote> <p>그는 1을 소수로 취급했지만 후에 이 개념은 폐기되었다. 이 두 추측은 동치이지만 당시에 이슈가 되지는 못했다. 골트바흐의 마지막 문장은 오늘날의 개념으로 다음과 같이 설명할 수 있다 </p> <blockquote class="templatequote"><p>5보다 큰 모든 정수는 세 소수의 합으로 표현가능하다. </p></blockquote> <p>오일러는 1742년 6월 30일에 답장을 보내 골트바흐와 한 예전의 대화를 떠올리면서 다음과 같은 문장으로 바뀌었다. </p> <blockquote class="templatequote"><p>2보다 큰 모든 짝수는 두 소수의 합으로 표현가능하다. </p></blockquote> <p>이것은 골트바흐의 원래 추측을 포함한다. 모든 짝수가 두 소수의 합으로 표현가능하다면, 홀수의 경우 3을 더하면 되고, 짝수의 경우는 2를 더하면 세 소수의 합으로도 표현가능해지기 때문이다. </p> <div class="mw-heading mw-heading2"><h2 id="골트바흐의_추측의_종류"><span id=".EA.B3.A8.ED.8A.B8.EB.B0.94.ED.9D.90.EC.9D.98_.EC.B6.94.EC.B8.A1.EC.9D.98_.EC.A2.85.EB.A5.98"></span>골트바흐의 추측의 종류</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=2" title="부분 편집: 골트바흐의 추측의 종류"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>위 추측을 <b>강한 골트바흐의 추측</b>(strong Goldbach conjecture)이라고 부르고 최초에 골트바흐가 제시했던 '5보다 큰 모든 정수는 세 소수의 합으로 표현가능하다'는 주장은 <b><a href="/wiki/%EC%95%BD%ED%95%9C_%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1" title="약한 골트바흐의 추측">약한 골트바흐의 추측</a></b>(weak Goldbach conjecture)이라고 불린다. 강한 골트바흐의 추측이 참이라면, 약한 골트바흐의 추측은 당연히 참이 된다. 강한 골든바흐의 추측을 짝수 골트바흐 추측(even number Goldbach conjecture), 약한 골든바흐의 추측을 홀수 골트바흐 추측(odd number Goldbach conjecture)이라 부르는 사람도 있다. </p> <div class="mw-heading mw-heading2"><h2 id="골트바흐_숫자"><span id=".EA.B3.A8.ED.8A.B8.EB.B0.94.ED.9D.90_.EC.88.AB.EC.9E.90"></span>골트바흐 숫자</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=3" title="부분 편집: 골트바흐 숫자"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg/500px-Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg.png" decoding="async" width="500" height="436" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg/750px-Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/02/Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg/1000px-Goldbach_partitions_of_the_even_integers_from_4_to_50_rev4b.svg.png 2x" data-file-width="754" data-file-height="657" /></a><figcaption></figcaption></figure> <p>예를 들어, 50까지의 짝수는 </p> <dl><dd>4 = 2+2</dd> <dd>6 = 3+3</dd> <dd>8 = 3+5</dd> <dd>10 = 3+7 = 5+5</dd> <dd>12 = 5+7</dd> <dd>14 = 3+11 = 7+7</dd> <dd>16 = 3+13 = 5+11</dd> <dd>18 = 5+13 = 7+11</dd> <dd>20 = 3+17 = 7+13</dd> <dd>22 = 3+19 = 5+17 = 11+11</dd> <dd>24 = 5+19 = 7+17 = 11+13</dd> <dd>26 = 3+23 = 7+19 = 13+13</dd> <dd>28 = 5+23 = 11+17</dd> <dd>30 = 7+23 = 11+19 = 13+17</dd> <dd>32 = 3+29 = 13+19</dd> <dd>34 = 3+31 = 5+29 = 11+23 = 17+17</dd> <dd>36 = 5+31 = 7+29 = 13+23 = 17+19</dd> <dd>38 = 7+31 = 19+19</dd> <dd>40 = 3+37 = 11+29 = 17+23</dd> <dd>42 = 5+37 = 11+31 = 13+29 = 19+23</dd> <dd>44 = 3+41 = 7+37 = 13+31</dd> <dd>46 = 3+43 = 5+41 = 17+29 = 23+23</dd> <dd>48 = 5+43 = 7+41 = 11+37 = 17+31 = 19+29</dd> <dd>50 = 3+47 = 7+43 = 13+37 = 19+31</dd></dl> <p>위와 같이, 두 개의 소수의 합으로 표현할 수 있다. 그러나 모든 짝수에서 가능한지는 아직까지 해결하지 못하고 있다. </p> <div class="mw-heading mw-heading2"><h2 id="확인된_수치적_결과"><span id=".ED.99.95.EC.9D.B8.EB.90.9C_.EC.88.98.EC.B9.98.EC.A0.81_.EA.B2.B0.EA.B3.BC"></span>확인된 수치적 결과</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=4" title="부분 편집: 확인된 수치적 결과"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Goldbach-1000.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Goldbach-1000.png/288px-Goldbach-1000.png" decoding="async" width="288" height="202" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Goldbach-1000.png/432px-Goldbach-1000.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/Goldbach-1000.png/576px-Goldbach-1000.png 2x" data-file-width="720" data-file-height="504" /></a><figcaption>짝수 n을 두 소수의 합으로 표현하는 방법의 수 (4 ≤ n ≤ 1,000)</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Goldbach-1000000.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Goldbach-1000000.png/288px-Goldbach-1000000.png" decoding="async" width="288" height="202" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Goldbach-1000000.png/432px-Goldbach-1000000.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Goldbach-1000000.png/576px-Goldbach-1000000.png 2x" data-file-width="720" data-file-height="504" /></a><figcaption>짝수 n을 두 소수의 합으로 표현하는 방법의 수 (4 ≤ n ≤ 1,000,000)</figcaption></figure> <p>컴퓨터로 직접 계산하여 짝수가 두 소수의 합인지 확인하는 시도가 예전부터 있었다. T. Oliveirae Silva는 <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 10^{18}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>18</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 10^{18}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6130b41f616434fece66885304e2d5b895120776" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.201ex; height:2.676ex;" alt="{\displaystyle 10^{18}}"></span> 이하에서 골트바흐의 추측이 참임을 확인했다. 골트바흐의 추측은 반드시 두 소수의 합으로 표현하는 방법이 유일하다고 주장하는 것은 아니다. 소수 한 쌍의 합으로 표현하는 방법은 여러가지가 있을 수 있고, 같은 두 수를 쓸 수도 있다. </p> <div class="mw-heading mw-heading2"><h2 id="최근의_결과"><span id=".EC.B5.9C.EA.B7.BC.EC.9D.98_.EA.B2.B0.EA.B3.BC"></span>최근의 결과</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=5" title="부분 편집: 최근의 결과"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>1930년 러시아 수학자 Lev Schnirelmann은 4보다 큰 모든 짝수는 20개 이하의 소수의 합으로 표현 가능함을 증명했다. 20이라는 수치는 수학자들이 계속 줄여왔고, 2013년 약한 골트바흐의 추측이 증명됨으로써 4까지 줄어들었다.</li> <li>1937년 러시아 수학자 Vinogradov는 매우 놀라운 결과를 발표했는데, 충분히 큰 수 이상의 홀수에 대해 약한 골트바흐의 추측이 참이라는 것을 증명하였다. 여기서 충분히 큰 수는 <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 3^{3^{15}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msup> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3^{3^{15}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/872b068de186798a26304a0ad27e0aed19ab6d5d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.716ex; height:3.009ex;" alt="{\displaystyle 3^{3^{15}}}"></span> 이었는데, 이후 중국 수학자 첸(<a href="/wiki/%EC%B2%9C%EC%A7%95%EB%A3%AC" title="천징룬">천징룬</a>)과 왕에 의해 이 값은 <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 3.33\times 10^{43000}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3.33</mn> <mo>×</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>43000</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3.33\times 10^{43000}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1674f46317b7624ff184e7aad2948d0e846e5e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:13.642ex; height:2.676ex;" alt="{\displaystyle 3.33\times 10^{43000}}"></span>까지 떨어졌다. 그러나 남은 결과를 직접 확인하기에는 여전히 큰 수이다.</li> <li>1975년 미국 수학자 휴 몽고메리 (Hugh Montgomery)와 영국 수학자 로버트 찰스 본(Robert Charles Vaughan)은 "대부분"의 짝수는 두 소수의 합으로 표현가능함을 증명했다. 즉, 두 소수의 합으로 표현가능하지 않은 짝수 개수의 비율의 극한값이 영에 수렴한다는 것을 증명한 것이었다.</li> <li>2013년 Harald Helfgott은 위의 충분히 큰 수 이하의 홀수들에 대해 약한 골트바흐의 추측이 참임을 증명하였고, 따라서 약한 골트바흐의 추측은 참임이 증명되었다.<sup id="cite_ref-Helfgott_2013_3-0" class="reference"><a href="#cite_note-Helfgott_2013-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Helfgott_2012_4-0" class="reference"><a href="#cite_note-Helfgott_2012-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="쌍둥이_소수_추측과의_관계"><span id=".EC.8C.8D.EB.91.A5.EC.9D.B4_.EC.86.8C.EC.88.98_.EC.B6.94.EC.B8.A1.EA.B3.BC.EC.9D.98_.EA.B4.80.EA.B3.84"></span>쌍둥이 소수 추측과의 관계</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=6" title="부분 편집: 쌍둥이 소수 추측과의 관계"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/%EC%8C%8D%EB%91%A5%EC%9D%B4_%EC%86%8C%EC%88%98_%EC%B6%94%EC%B8%A1" title="쌍둥이 소수 추측">쌍둥이 소수 추측</a> (twin prime conjecture)과 골트바흐의 추측은 구조적으로 유사성이 있다. 쌍둥이 소수 추측은 <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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span>와 <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+2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>+</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p+2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1be10639200a6d8b5b9e0233ecfe25820562161c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:5.262ex; height:2.509ex;" alt="{\displaystyle p+2}"></span>가 모두 소수인 수가 무한히 많다는 것이다. 다시 말해서, <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 k(k+2)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k(k+2)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b652eb53202dc167e61cc50b5cd6ef5bdb992245" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.235ex; height:2.843ex;" alt="{\displaystyle k(k+2)}"></span>가 정확히 두 개의 소인수를 가지는 수가 무한히 많다는 추측이다. 골트바흐 추측은 4이상의 모든 짝수에 대해 두 소수의 합으로 표현가능하다는 것, 다시 말해서, 모든 4 이상의 짝수 <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.395ex; height:1.676ex;" alt="{\displaystyle n}"></span>에 대해 <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 k(n-k)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo stretchy="false">(</mo> <mi>n</mi> <mo>−</mo> <mi>k</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k(n-k)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ba3cd67ebc20431735f01a9673f64b60db5ad76" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.467ex; height:2.843ex;" alt="{\displaystyle k(n-k)}"></span>가 두 개의 소인수를 가지는 1과 <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-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbd0b0f32b28f51962943ee9ede4fb34198a2521" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.398ex; height:2.343ex;" alt="{\displaystyle n-1}"></span> 사이의 k가 반드시 존재한다는 추측이다. 이러한 구조적 유사성 때문에 두 추측은 같이 다루어져 왔으며, 지금까지 검증된 수치적 자료들도 이를 뒷받침 하는 듯 보인다. </p> <div class="mw-heading mw-heading2"><h2 id="각주"><span id=".EA.B0.81.EC.A3.BC"></span>각주</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=7" title="부분 편집: 각주"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-MathWorldConj-1"><span class="mw-cite-backlink"><a href="#cite_ref-MathWorldConj_1-0">↑</a></span> <span class="reference-text"><cite class="citation web">Weisstein, Eric Wolfgang. <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/index.html">“Goldbach Conjecture”</a>. 《<a href="/wiki/%EB%A7%A4%EC%8A%A4%EC%9B%94%EB%93%9C" title="매스월드">Wolfram MathWorld</a>》 (영어). Wolfram Research.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Wolfram+MathWorld&rft.atitle=Goldbach+Conjecture&rft.aulast=Weisstein&rft.aufirst=Eric+Wolfgang&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2Findex.html&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98+%EC%B6%94%EC%B8%A1" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><i>Correspondance mathématique et physique de quelques célèbres géomètres du XVIIIème siècle</i> (Band 1), St.-Pétersbourg 1843, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=OGMSAAAAIAAJ&pg=PA125">pp. 125–129</a></span> </li> <li id="cite_note-Helfgott_2013-3"><span class="mw-cite-backlink"><a href="#cite_ref-Helfgott_2013_3-0">↑</a></span> <span class="reference-text"><cite class="citation arxiv">Helfgott, H.A. (2013). “Major arcs for Goldbach's theorem”. <a href="/wiki/ArXiv" title="ArXiv">arXiv</a>:<a rel="nofollow" class="external text" href="//arxiv.org/abs/1305.2897">1305.2897</a> [<a rel="nofollow" class="external text" href="//arxiv.org/archive/math.NT">math.NT</a>].</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=preprint&rft.jtitle=arXiv&rft.atitle=Major+arcs+for+Goldbach%27s+theorem&rft.date=2013&rft_id=info%3Aarxiv%2F1305.2897&rft.aulast=Helfgott&rft.aufirst=H.A.&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98+%EC%B6%94%EC%B8%A1" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">더 이상 지원되지 않는 변수를 사용함 (<a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%9D%B8%EC%9A%A9_%EC%98%A4%EB%A5%98_%EB%8F%84%EC%9B%80%EB%A7%90#deprecated_params" title="위키백과:인용 오류 도움말">도움말</a>)</span></span> </li> <li id="cite_note-Helfgott_2012-4"><span class="mw-cite-backlink"><a href="#cite_ref-Helfgott_2012_4-0">↑</a></span> <span class="reference-text"><cite class="citation arxiv">Helfgott, H.A. (2012). “Minor arcs for Goldbach's problem”. <a href="/wiki/ArXiv" title="ArXiv">arXiv</a>:<a rel="nofollow" class="external text" href="//arxiv.org/abs/1205.5252">1205.5252</a> [<a rel="nofollow" class="external text" href="//arxiv.org/archive/math.NT">math.NT</a>].</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=preprint&rft.jtitle=arXiv&rft.atitle=Minor+arcs+for+Goldbach%27s+problem&rft.date=2012&rft_id=info%3Aarxiv%2F1205.5252&rft.aulast=Helfgott&rft.aufirst=H.A.&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98+%EC%B6%94%EC%B8%A1" class="Z3988"><span style="display:none;"> </span></span> <span style="display:none;font-size:100%" class="error citation-comment">더 이상 지원되지 않는 변수를 사용함 (<a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%9D%B8%EC%9A%A9_%EC%98%A4%EB%A5%98_%EB%8F%84%EC%9B%80%EB%A7%90#deprecated_params" title="위키백과:인용 오류 도움말">도움말</a>)</span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="외부_링크"><span id=".EC.99.B8.EB.B6.80_.EB.A7.81.ED.81.AC"></span>외부 링크</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=8" title="부분 편집: 외부 링크"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r36480479">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box metadata side-box-right plainlinks"><style data-mw-deduplicate="TemplateStyles:r36480595">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><b><a href="/wiki/%EC%9C%84%ED%82%A4%EB%AF%B8%EB%94%94%EC%96%B4_%EA%B3%B5%EC%9A%A9" title="위키미디어 공용">위키미디어 공용</a></b>에 관련된<br />미디어 분류가 있습니다.<div style="padding-left:1em;"><b><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Goldbach%27s_conjecture?uselang=ko">골트바흐의 추측</a></b></div></div></div> </div> <ul><li><cite class="citation web">Weisstein, Eric Wolfgang. <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/GoldbachConjecture.html">“Goldbach Conjecture”</a>. 《<a href="/wiki/%EB%A7%A4%EC%8A%A4%EC%9B%94%EB%93%9C" title="매스월드">Wolfram MathWorld</a>》 (영어). Wolfram Research.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Wolfram+MathWorld&rft.atitle=Goldbach+Conjecture&rft.aulast=Weisstein&rft.aufirst=Eric+Wolfgang&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FGoldbachConjecture.html&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98+%EC%B6%94%EC%B8%A1" class="Z3988"><span style="display:none;"> </span></span></li> <li><cite class="citation web">양재현. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131225183641/http://math.inha.ac.kr/~jhyang/paper/Eprimeb.pdf">“소수의 아름다움”</a> <span style="font-size:85%;">(PDF)</span>. 2013년 12월 25일에 <a rel="nofollow" class="external text" href="http://math.inha.ac.kr/~jhyang/paper/Eprimeb.pdf">원본 문서</a> <span style="font-size:85%;">(PDF)</span>에서 보존된 문서<span class="reference-accessdate">. 2013년 12월 25일에 확인함</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=%EC%86%8C%EC%88%98%EC%9D%98+%EC%95%84%EB%A6%84%EB%8B%A4%EC%9B%80&rft.au=%EC%96%91%EC%9E%AC%ED%98%84&rft_id=http%3A%2F%2Fmath.inha.ac.kr%2F~jhyang%2Fpaper%2FEprimeb.pdf&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98+%EC%B6%94%EC%B8%A1" class="Z3988"><span style="display:none;"> </span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EA%B3%A8%ED%8A%B8%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1&action=edit&section=9" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EC%88%98%ED%95%99%EC%9D%98_%EB%AF%B8%ED%95%B4%EA%B2%B0_%EB%AC%B8%EC%A0%9C" class="mw-redirect" title="수학의 미해결 문제">수학의 미해결 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.hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role="navigation" class="navbox" aria-labelledby="소수(prime_number)" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><style data-mw-deduplicate="TemplateStyles:r34311309">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar 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문서)"><abbr title="이 틀에 관해 토론하기" style=";;background:none transparent;border:none;box-shadow:none;padding:0;">t</abbr></a></li><li class="nv-편집"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%AC%B8%EC%84%9C%ED%8E%B8%EC%A7%91/%ED%8B%80:%EC%86%8C%EC%88%98" title="특수:문서편집/틀:소수"><abbr title="이 틀을 편집하기" style=";;background:none transparent;border:none;box-shadow:none;padding:0;">e</abbr></a></li></ul></div><div id="소수(prime_number)" style="font-size:114%;margin:0 4em"><a href="/wiki/%EC%86%8C%EC%88%98_(%EC%88%98%EB%A1%A0)" title="소수 (수론)">소수</a>(prime number)</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">소수의 종류</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EA%B3%84%EC%8A%B9_%EC%86%8C%EC%88%98" title="계승 소수">계승 소수</a></li> <li><a href="/wiki/%EB%A9%94%EB%A5%B4%EC%84%BC_%EC%86%8C%EC%88%98" title="메르센 소수">메르센 소수</a></li> <li><a href="/wiki/%EC%82%AC%EC%B4%8C_%EC%86%8C%EC%88%98" title="사촌 소수">사촌 소수</a></li> <li><a href="/wiki/%EC%84%B9%EC%8B%9C_%EC%86%8C%EC%88%98" title="섹시 소수">섹시 소수</a></li> <li><a href="/wiki/%EC%86%8C%ED%94%BC_%EC%A0%9C%EB%A5%B4%EB%A7%B9_%EC%86%8C%EC%88%98" title="소피 제르맹 소수">소피 제르맹 소수</a></li> <li><a href="/wiki/%EC%8C%8D%EB%91%A5%EC%9D%B4_%EC%86%8C%EC%88%98" title="쌍둥이 소수">쌍둥이 소수</a></li> <li><a href="/wiki/%ED%8E%98%EB%A5%B4%EB%A7%88_%EC%86%8C%EC%88%98" class="mw-redirect" title="페르마 소수">페르마 소수</a></li> <li><a href="/wiki/%ED%94%84%EB%A1%9C%ED%8A%B8_%EC%88%98" title="프로트 수">프로트 수</a></li> <li><a href="/wiki/%ED%9A%8C%EB%AC%B8_%EC%86%8C%EC%88%98" title="회문 소수">회문 소수</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">소수 관련 상수</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EB%B0%80%EC%8A%A4_%EC%83%81%EC%88%98" title="밀스 상수">밀스 상수</a></li> <li><a href="/wiki/%EB%B8%8C%EB%A3%AC_%EC%83%81%EC%88%98" title="브룬 상수">브룬 상수</a></li> <li><a href="/wiki/%EC%8C%8D%EB%91%A5%EC%9D%B4_%EC%86%8C%EC%88%98_%EC%83%81%EC%88%98" title="쌍둥이 소수 상수">쌍둥이 소수 상수</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">소수 관련 정리</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EA%B7%B8%EB%A6%B0-%ED%83%80%EC%98%A4_%EC%A0%95%EB%A6%AC" title="그린-타오 정리">그린-타오 정리</a></li> <li><a href="/wiki/%EC%86%8C%EC%88%98_%EC%A0%95%EB%A6%AC" title="소수 정리">소수 정리</a></li> <li><a href="/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C%EC%9D%98_%EC%A0%95%EB%A6%AC" title="유클리드의 정리">유클리드의 정리</a></li> <li><a href="/wiki/%EC%B2%9C%EC%9D%98_%EC%A0%95%EB%A6%AC" title="천의 정리">천의 정리</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">소수 관련 <a href="/wiki/%EB%AF%B8%ED%95%B4%EA%B2%B0_%EB%AC%B8%EC%A0%9C" class="mw-redirect" title="미해결 문제">미해결 문제</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EA%B3%A8%EB%93%9C%EB%B0%94%ED%9D%90%EC%9D%98_%EC%B6%94%EC%B8%A1" class="mw-redirect" title="골드바흐의 추측">골드바흐의 추측</a></li> <li><a href="/wiki/%EB%A6%AC%EB%A7%8C_%EA%B0%80%EC%84%A4" title="리만 가설">리만 가설</a></li> <li><a href="/wiki/%EB%B6%80%EB%83%90%EC%BD%A5%EC%8A%A4%ED%82%A4_%EC%B6%94%EC%B8%A1" title="부냐콥스키 추측">부냐콥스키 추측</a></li> <li><a href="/wiki/%EC%8C%8D%EB%91%A5%EC%9D%B4_%EC%86%8C%EC%88%98_%EC%B6%94%EC%B8%A1" title="쌍둥이 소수 추측">쌍둥이 소수 추측</a></li> <li><a href="/wiki/%ED%81%AC%EB%9D%BC%EB%A9%94%EB%A5%B4_%EC%B6%94%EC%B8%A1" title="크라메르 추측">크라메르 추측</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">소수 관련 <a href="/wiki/%ED%95%A8%EC%88%98" title="함수">함수</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EB%94%94%EB%A6%AC%ED%81%B4%EB%A0%88_L-%ED%95%A8%EC%88%98" title="디리클레 L-함수">디리클레 L-함수</a></li> <li><a href="/wiki/%EB%A6%AC%EB%A7%8C_%EC%A0%9C%ED%83%80_%ED%95%A8%EC%88%98" title="리만 제타 함수">리만 제타 함수</a></li> <li><a href="/wiki/%EC%86%8C%EC%88%98_%EA%B3%84%EB%9F%89_%ED%95%A8%EC%88%98" title="소수 계량 함수">소수 계량 함수</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">기타</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EC%86%8C%EC%9D%B8%EC%88%98_%EB%B6%84%ED%95%B4" class="mw-redirect" title="소인수 분해">소인수 분해</a></li> <li><a href="/wiki/%EC%86%8C%EC%88%98_%EA%B3%84%EC%8A%B9" title="소수 계승">소수 계승</a></li> <li><a href="/wiki/%EC%86%8C%EC%88%98_%EA%B0%84%EA%B7%B9" title="소수 간극">소수 간극</a></li> <li><a href="/wiki/%EC%97%90%EB%9D%BC%ED%86%A0%EC%8A%A4%ED%85%8C%EB%84%A4%EC%8A%A4%EC%9D%98_%EC%B2%B4" title="에라토스테네스의 체">에라토스테네스의 체</a></li> <li><a href="/wiki/%EC%99%84%EC%A0%84%EC%88%98" title="완전수">완전수</a></li> <li><a href="/wiki/%EC%BF%A8%EB%A0%8C_%EC%88%98" title="쿨렌 수">쿨렌 수</a></li> <li><a href="/wiki/%ED%95%A9%EC%84%B1%EC%88%98" title="합성수">합성수</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">처음 60개의 소수</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/2" title="2">2</a></li> <li><a href="/wiki/3" title="3">3</a></li> <li><a href="/wiki/5" title="5">5</a></li> <li><a href="/wiki/7" title="7">7</a></li> <li><a href="/wiki/11" title="11">11</a></li> <li><a href="/wiki/13" title="13">13</a></li> <li><a href="/wiki/17" title="17">17</a></li> <li><a href="/wiki/19" title="19">19</a></li> <li><a href="/wiki/23" title="23">23</a></li> <li><a href="/wiki/29" title="29">29</a></li> <li><a href="/wiki/31" title="31">31</a></li> <li><a href="/wiki/37" title="37">37</a></li> <li><a href="/wiki/41" title="41">41</a></li> <li><a href="/wiki/43" title="43">43</a></li> <li><a href="/wiki/47" title="47">47</a></li> <li><a href="/wiki/53" title="53">53</a></li> <li><a href="/wiki/59" title="59">59</a></li> <li><a href="/wiki/61" title="61">61</a></li> <li><a href="/wiki/67" title="67">67</a></li> <li><a href="/wiki/71" title="71">71</a></li> <li><a href="/wiki/73" title="73">73</a></li> <li><a href="/wiki/79" title="79">79</a></li> <li><a href="/wiki/83" title="83">83</a></li> <li><a href="/wiki/89" title="89">89</a></li> <li><a href="/wiki/97" title="97">97</a></li> <li><a href="/wiki/101" title="101">101</a></li> <li><a href="/wiki/103" title="103">103</a></li> <li><a href="/wiki/107" title="107">107</a></li> <li><a href="/wiki/109" title="109">109</a></li> <li><a href="/wiki/113" title="113">113</a></li> <li><a href="/wiki/127" title="127">127</a></li> <li><a href="/wiki/131" title="131">131</a></li> <li><a href="/wiki/137" title="137">137</a></li> <li><a href="/wiki/139" title="139">139</a></li> <li><a href="/wiki/149" title="149">149</a></li> <li><a href="/wiki/151" title="151">151</a></li> <li><a href="/wiki/157" title="157">157</a></li> <li><a href="/wiki/163" title="163">163</a></li> <li><a href="/wiki/167" title="167">167</a></li> <li><a href="/wiki/173" title="173">173</a></li> <li><a href="/wiki/179" title="179">179</a></li> <li><a href="/wiki/181" title="181">181</a></li> <li><a href="/wiki/191" title="191">191</a></li> <li><a href="/wiki/193" title="193">193</a></li> <li><a href="/wiki/197" title="197">197</a></li> <li><a href="/wiki/199" title="199">199</a></li> <li><a href="/wiki/211" title="211">211</a></li> <li><a href="/wiki/223" title="223">223</a></li> <li><a href="/wiki/227" title="227">227</a></li> <li><a href="/wiki/229" title="229">229</a></li> <li><a href="/wiki/233" title="233">233</a></li> <li><a href="/wiki/239" title="239">239</a></li> <li><a href="/wiki/241" title="241">241</a></li> <li><a href="/wiki/251" title="251">251</a></li> <li><a href="/wiki/257" title="257">257</a></li> <li><a href="/wiki/263" title="263">263</a></li> <li><a href="/wiki/269" title="269">269</a></li> <li><a href="/wiki/271" title="271">271</a></li> <li><a href="/wiki/277" title="277">277</a></li> <li><a href="/wiki/281" title="281">281</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36429174"></div><div role="navigation" class="navbox authority-control" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%A0%84%EA%B1%B0_%ED%86%B5%EC%A0%9C" title="위키백과:전거 통제">전거 통제</a>: 국가 <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q485520#identifiers" title="위키데이터에서 편집하기"><img alt="위키데이터에서 편집하기" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="uid"><abbr title="Goldbach, Conjecture de"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb13745227d">프랑스</a></abbr></span></li> <li><span class="uid"><abbr title="Goldbach, Conjecture de"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb13745227d">BnF 데이터</a></abbr></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="http://uli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007544410505171">이스라엘</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh97007184">미국</a></span></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">원본 주소 "<a dir="ltr" href="https://ko.wikipedia.org/w/index.php?title=골트바흐의_추측&oldid=37122922">https://ko.wikipedia.org/w/index.php?title=골트바흐의_추측&oldid=37122922</a>"</div></div> <div id="catlinks" class="catlinks" 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