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By revisiting the famous problem \u2014 which was controversially solved in the 1970s with the help of computers \u2014 mathematicians have gained important new insights into the nature of graphs.<\/p>\n","protected":false},"author":60512,"featured_media":166727,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"apple_news_api_created_at":"","apple_news_api_id":"","apple_news_api_modified_at":"","apple_news_api_revision":"","apple_news_api_share_url":"","apple_news_coverimage":0,"apple_news_coverimage_caption":"","apple_news_is_hidden":"","apple_news_is_paid":"","apple_news_is_preview":"","apple_news_is_sponsored":"","apple_news_maturity_rating":"","apple_news_metadata":"\"\"","apple_news_pullquote":"","apple_news_pullquote_position":"","apple_news_slug":"","apple_news_sections":[],"apple_news_suppress_video_url":false,"apple_news_use_image_component":false,"footnotes":""},"categories":[190,188],"tags":[93,522,62,31551,247,113,552,31638],"coauthors":[31602],"class_list":["post-166722","post","type-post","status-publish","format-standard","hentry","category-computer-science","category-mathematics","tag-algorithms","tag-combinatorics","tag-computer-science","tag-computer-assisted-proofs","tag-graph-theory","tag-mathematics","tag-quanta-podcast","tag-the-quanta-podcast"],"acf":[],"apple_news_notices":[],"_links":{"self":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166722","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/users\/60512"}],"replies":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/comments?post=166722"}],"version-history":[{"count":"38","href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166722\/revisions"}],"predecessor-version":[{"id":167092,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166722\/revisions\/167092"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/media\/166727"}],"wp:attachment":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/media?parent=166722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/categories?post=166722"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/tags?post=166722"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/coauthors?post=166722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}},{"id":166565,"date":"2026-09-09T10:44:13","date_gmt":"2026-09-09T14:44:13","guid":{"rendered":"https:\/\/www.quantamagazine.org\/?p=166565"},"modified":"2026-09-10T09:43:50","modified_gmt":"2026-09-10T13:43:50","slug":"what-is-maths-mysterious-langlands-program-really-about-20260909","status":"publish","type":"post","link":"https:\/\/www.quantamagazine.org\/what-is-maths-mysterious-langlands-program-really-about-20260909\/","title":{"rendered":"What Is Math\u2019s Mysterious Langlands Program Really About?"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"
Hidden correspondences hint at a deeper structure to the mathematical universe. Our columnist unpacks one of those connections and asks mathematicians what they might mean. <\/p>\n","protected":false},"author":10,"featured_media":166804,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"apple_news_api_created_at":"","apple_news_api_id":"","apple_news_api_modified_at":"","apple_news_api_revision":"","apple_news_api_share_url":"","apple_news_coverimage":0,"apple_news_coverimage_caption":"","apple_news_is_hidden":"","apple_news_is_paid":"","apple_news_is_preview":"","apple_news_is_sponsored":"","apple_news_maturity_rating":"","apple_news_metadata":"\"\"","apple_news_pullquote":"","apple_news_pullquote_position":"","apple_news_slug":"","apple_news_sections":[],"apple_news_suppress_video_url":false,"apple_news_use_image_component":false,"footnotes":""},"categories":[188],"tags":[31681,659,31647,577,549,113,616,155,559],"coauthors":[677],"class_list":["post-166565","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-features","tag-fermats-last-theorem","tag-harmonic-analysis","tag-langlands-program","tag-mathematical-physics","tag-mathematics","tag-modular-forms","tag-number-theory","tag-symmetry"],"acf":[],"apple_news_notices":[],"_links":{"self":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/comments?post=166565"}],"version-history":[{"count":"50","href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166565\/revisions"}],"predecessor-version":[{"id":166805,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/posts\/166565\/revisions\/166805"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/media\/166804"}],"wp:attachment":[{"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/media?parent=166565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/categories?post=166565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/tags?post=166565"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.quantamagazine.org\/wp-json\/wp\/v2\/coauthors?post=166565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}},{"id":166677,"date":"2026-09-08T04:43:52","date_gmt":"2026-09-08T08:43:52","guid":{"rendered":"https:\/\/www.quantamagazine.org\/?p=166677"},"modified":"2026-09-23T10:26:16","modified_gmt":"2026-09-23T14:26:16","slug":"ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908","status":"publish","type":"post","link":"https:\/\/www.quantamagazine.org\/ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908\/","title":{"rendered":"AI Has Solved One of Math\u2019s $1 Million Millennium Prize Problems"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"
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