{"id":124289,"date":"2026-09-13T12:30:31","date_gmt":"2026-09-13T07:00:31","guid":{"rendered":"https:\/\/vajiramandravi.com\/current-affairs\/?p=124289"},"modified":"2026-09-13T16:39:46","modified_gmt":"2026-09-13T11:09:46","slug":"fermats-last-theorem","status":"publish","type":"post","link":"https:\/\/vajiramandravi.com\/current-affairs\/fermats-last-theorem\/","title":{"rendered":"Fermat\u2019s Last Theorem"},"content":{"rendered":"<h2><b>Fermat\u2019s Last Theorem Latest News<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Anthropic recently used its Claude AI to formalise Fermat\u2019s Last Theorem using the Lean language.<\/span><\/p>\n<h2><b>About Fermat\u2019s Last Theorem<\/b><\/h2>\n<ul>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">It is a famous <\/span><b>mathematical statement<\/b><span style=\"font-weight: 400;\"> proposed by <\/span><b>Pierre de Fermat in 1637<\/b><span style=\"font-weight: 400;\"> claiming that the <\/span><b>equation x^n + y^n = z^n has no integer solutions for n &gt; 2.<\/b><\/li>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">This conjecture was <\/span><b>noted in the margin of Fermat&#8217;s copy of &#8220;Arithmetica,&#8221;<\/b><span style=\"font-weight: 400;\"> an <\/span><b>ancient Greek text on number theory,<\/b><span style=\"font-weight: 400;\"> where he famously<\/span><b> stated that he had a proof too large to fit in the margin.\u00a0<\/b><\/li>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">While<\/span><b> solutions exist for n = 1 and n = 2 <\/b><span style=\"font-weight: 400;\">(known as <\/span><b>linear and Pythagorean equations<\/b><span style=\"font-weight: 400;\">, <\/span><b>respectively<\/b><span style=\"font-weight: 400;\">), the<\/span><b> case for (n &gt; 2) remained unsolved for over 350 years,<\/b><span style=\"font-weight: 400;\"> making it one of the most significant unsolved problems in mathematics.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The <\/span><b>eventual proof <\/b><span style=\"font-weight: 400;\">was <\/span><b>provided by mathematician Andrew Wiles in 1995<\/b><span style=\"font-weight: 400;\">, <\/span><b>utilizing concepts<\/b><span style=\"font-weight: 400;\"> from the <\/span><b>modularity theorem for elliptic curves.<\/b><span style=\"font-weight: 400;\">\u00a0<\/span><\/li>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Wiles&#8217;s work built on earlier contributions from mathematicians like Gerhard Frey and Ken Ribet, who connected concepts related to elliptic curves and Fermat&#8217;s conjecture.\u00a0\u00a0<\/span><\/li>\n<li style=\"font-weight: 400; text-align: justify;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The theorem has not only resolved a long-standing mystery in mathematics but has also <\/span><b>spurred advancements in areas such as algebraic number theory <\/b><span style=\"font-weight: 400;\">and the <\/span><b>study of Diophantine equations. <\/b><\/li>\n<\/ul>\n<p><b>News: <\/b><a href=\"https:\/\/epaper.thehindu.com\/ccidist-ws\/th\/th_delhi\/issues\/204090\/OPS\/GRSGHBGIQ.1+GCMGHCJG8.1.html\" target=\"_blank\" rel=\"nofollow noopener\"><b>TH<\/b><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fermat\u2019s Last Theorem, proposed by Pierre de Fermat in 1637, states that x\u207f + y\u207f = z\u207f has no integer solutions for n > 2. Read more about Fermat\u2019s Last Theorem, Latest News<\/p>\n","protected":false},"author":23,"featured_media":124316,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[10221,21,22,23],"class_list":["post-124289","post","type-post","status-publish","format-standard","has-post-thumbnail","category-upsc-prelims-current-affairs","tag-fermats-last-theorem","tag-prelims-pointers","tag-upsc-current-affairs","tag-upsc-prelims-current-affairs","no-featured-image-padding"],"acf":[],"_links":{"self":[{"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/posts\/124289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/users\/23"}],"replies":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/comments?post=124289"}],"version-history":[{"count":4,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/posts\/124289\/revisions"}],"predecessor-version":[{"id":124317,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/posts\/124289\/revisions\/124317"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/media\/124316"}],"wp:attachment":[{"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/media?parent=124289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/categories?post=124289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vajiramandravi.com\/current-affairs\/wp-json\/wp\/v2\/tags?post=124289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}