{"id":2711,"date":"2026-09-09T17:00:00","date_gmt":"2026-09-09T17:00:00","guid":{"rendered":"https:\/\/netguide.io\/news\/?p=2711"},"modified":"2026-09-09T17:00:00","modified_gmt":"2026-09-09T17:00:00","slug":"claude-formalizes-fermats-last-theorem-lean","status":"publish","type":"post","link":"https:\/\/netguide.io\/news\/en\/2026\/09\/09\/claude-formalizes-fermats-last-theorem-lean\/","title":{"rendered":"Claude Formalizes Fermat&#8217;s Last Theorem: Machine-Checked Lean Proof in 11 Days"},"content":{"rendered":"<div id=\"netgu-1207958715\" class=\"netgu-before-content netgu-entity-placement\"><script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-6258556257245998\" crossorigin=\"anonymous\"><\/script><ins class=\"adsbygoogle\" style=\"display:block;\" data-ad-client=\"ca-pub-6258556257245998\" \ndata-ad-slot=\"3494115342\" \ndata-ad-format=\"auto\"><\/ins>\n<script> \n(adsbygoogle = window.adsbygoogle || []).push({}); \n<\/script>\n<\/div>\n<p class=\"wp-block-paragraph\"><strong>Anthropic announced a mathematics milestone on 5 September: its Claude model produced the first fully machine-checked proof of Fermat&#8217;s Last Theorem in the Lean proof language \u2013 in just eleven days and working largely autonomously.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What Claude accomplished<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Over eleven days of compute, Claude wrote roughly 13 million lines of Lean code and proved about 29,500 intermediate theorems that fed into the final result, according to Anthropic. The formalization is more than five times the size of Mathlib, the established community mathematics library. The effort consumed around six billion output tokens from an internal research model, spread across several agents working in parallel.<\/p><div id=\"netgu-2882652188\" class=\"netgu-content netgu-entity-placement\"><aside class=\"deals-top deals-top--compact\">\n\n\t\t\t<h3 class=\"deals-top__title\">Top-Deals<\/h3>\n\t\n\t\t\t<ul class=\"deals-top__list\">\n\t\t\t\t\t\t\t<li class=\"deals-top__item\">\n\t\t\t\t\t<a class=\"deals-top__link\" href=\"https:\/\/netguide.io\/deals\/de\/deals\/ml2u-226-watch-face-fuer-wearos-im-google-play-store\/\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img class=\"deals-top__image\" src=\"https:\/\/netguide.io\/news\/wp-content\/uploads\/sites\/15\/2026\/10\/deal-3-150x150.png\" alt=\"\" width=\"52\" height=\"52\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\n\t\t\t\t\t\t<span class=\"deals-top__body\">\n\t\t\t\t\t\t\t<span class=\"deals-top__name\">ML2U 226 Watch Face f\u00fcr WearOS im Google Play Store<\/span>\n\n\t\t\t\t\t\t\t<span 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4+<\/span>\n\n\t\t\t\t\t\t\t<span class=\"deals-top__meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"deals-top__price\">Gratis<\/span>\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<s>0.89 \u20ac<\/s>\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"deals-discount\">-100%<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<\/span>\n\n\t\t\t\t\t\t<span class=\"deals-top__temperature\">\n\t\t\t\t\t\t\t55\u00b0\n\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<li class=\"deals-top__item\">\n\t\t\t\t\t<a class=\"deals-top__link\" href=\"https:\/\/netguide.io\/deals\/de\/deals\/battlefield-6-code-fuer-spielerkartenhintergrund-und-titel\/\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img class=\"deals-top__image\" src=\"https:\/\/netguide.io\/news\/wp-content\/uploads\/sites\/15\/2026\/10\/battlefield-6-how-to-redeem-codes-asset-code-9-2026_de-150x150.webp\" alt=\"\" width=\"52\" height=\"52\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\n\t\t\t\t\t\t<span class=\"deals-top__body\">\n\t\t\t\t\t\t\t<span class=\"deals-top__name\">Battlefield 6 \u2013 Code f\u00fcr Spielerkartenhintergrund und Titel<\/span>\n\n\t\t\t\t\t\t\t<span class=\"deals-top__meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"deals-top__price\">Gratis<\/span>\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<\/span>\n\n\t\t\t\t\t\t<span class=\"deals-top__temperature\">\n\t\t\t\t\t\t\t55\u00b0\n\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/li>\n\t\t\t\t\t\t\t<li class=\"deals-top__item\">\n\t\t\t\t\t<a class=\"deals-top__link\" href=\"https:\/\/netguide.io\/deals\/de\/deals\/train-sim-world-7-starter-pack-kostenlos-fuer-ps4-ps5-xbox-pc\/\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img class=\"deals-top__image\" src=\"https:\/\/netguide.io\/news\/wp-content\/uploads\/sites\/15\/2026\/09\/capsule_616x353-11-150x150.jpg\" alt=\"\" width=\"52\" height=\"52\" loading=\"lazy\" \/>\n\t\t\t\t\t\t\n\t\t\t\t\t\t<span class=\"deals-top__body\">\n\t\t\t\t\t\t\t<span class=\"deals-top__name\">Train Sim World 7: Starter Pack kostenlos f\u00fcr PS4, PS5, Xbox, PC<\/span>\n\n\t\t\t\t\t\t\t<span class=\"deals-top__meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"deals-top__price\">Gratis<\/span>\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t<\/span>\n\n\t\t\t\t\t\t<span class=\"deals-top__temperature\">\n\t\t\t\t\t\t\t55\u00b0\n\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/li>\n\t\t\t\t\t<\/ul>\n\n\t\t\t\t\t<p class=\"deals-top__more\">\n\t\t\t\t<a href=\"https:\/\/netguide.io\/deals\/\">Alle Deals ansehen \u2192<\/a>\n\t\t\t<\/p>\n\t\t\t<\/aside>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\"><li>Duration: 11 days, largely autonomous<\/li><li>Scale: roughly 13 million lines of Lean code<\/li><li>Intermediate theorems: about 29,500 in the final proof<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">How the agents collaborated<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Multiple Claude instances split the work through Prove2Me, a platform built by researcher Tianyi Peng and colleagues at Columbia University. Early attempts failed because the agents lost track of the project&#8217;s state and stopped collaborating effectively. Only Prove2Me \u2013 which manages theorem statements in a directed graph and speeds up Lean compilation \u2013 enabled the coordinated formalization to succeed.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">What it means<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Mathematician Kevin Buzzard of Imperial College London reviewed the proof and called it an extraordinary autoformalization achievement that establishes Fermat&#8217;s Last Theorem with no assumptions beyond the axioms of mathematics. Anthropic concedes the generated version is probably far longer than it needs to be. Even so, the result signals how AI agents could increasingly automate formal mathematics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Sources:<\/em> <a href=\"https:\/\/www.anthropic.com\/research\/formalizing-fermats-last-theorem\" target=\"_blank\" rel=\"noopener\">Anthropic Research<\/a> &middot; <a href=\"https:\/\/thenextweb.com\/news\/anthropic-claude-fermat-last-theorem-lean-buzzard\" target=\"_blank\" rel=\"noopener\">The Next Web<\/a><\/p>\n<div id=\"netgu-324086020\" class=\"netgu-after-content netgu-entity-placement\"><script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-6258556257245998\" crossorigin=\"anonymous\"><\/script><ins class=\"adsbygoogle\" style=\"display:block;\" data-ad-client=\"ca-pub-6258556257245998\" \ndata-ad-slot=\"4559785002\" \ndata-ad-format=\"auto\"><\/ins>\n<script> \n(adsbygoogle = window.adsbygoogle || []).push({}); \n<\/script>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Anthropic reports a milestone: its Claude model produced the first fully machine-checked Lean proof of Fermat&#8217;s Last Theorem in just eleven days, spanning over 13 million lines of code.<\/p>\n","protected":false},"author":1,"featured_media":1706,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_affilinode_tracking":"","_affilinode_autolink_off":false,"_affilinode_rating":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[1698],"tags":[],"class_list":["post-2711","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ki-en"],"brizy_media":[],"_links":{"self":[{"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/posts\/2711","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/comments?post=2711"}],"version-history":[{"count":1,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/posts\/2711\/revisions"}],"predecessor-version":[{"id":2768,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/posts\/2711\/revisions\/2768"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/media\/1706"}],"wp:attachment":[{"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/media?parent=2711"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/categories?post=2711"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/netguide.io\/news\/wp-json\/wp\/v2\/tags?post=2711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}