{"id":2981,"date":"2019-04-12T07:53:51","date_gmt":"2019-04-12T07:53:51","guid":{"rendered":"https:\/\/www.goodsoul.us\/?p=2981"},"modified":"2019-04-13T00:05:29","modified_gmt":"2019-04-13T00:05:29","slug":"fermats-last-theorem","status":"publish","type":"post","link":"https:\/\/www.goodsoul.us\/?p=2981","title":{"rendered":"Fermat\u2019s Last Theorem"},"content":{"rendered":"

“The story starts with Pierre de Fermat, one of the all-time great mathematicians, who claimed he could prove that the equation (<\/span>a^n+ <\/span>b^n = <\/span>c^n) has no whole number solutions when n is greater than 2. There are some near misses (e.g., <\/span>6^3 + <\/span>8^3 = 9<\/span>^3 \u2013 1), but no numbers that make the equation balance properly.”<\/span><\/span><\/p>\n

I think it has to do with <\/span>Pythagorean’s Theorem where for any right <\/span>triangle the sum of the square of each leg = the square of the <\/span>hypotenuse, which put another way is to say two congruent right triangles joined will make a square and when the opposing diagonal is drawn four equally sized <\/span>equilateral triangles result. Each equilateral triangle is <\/span>necessarily 1\/4 the area of <\/span>the square. Taking <\/span>any two of the <\/span>equilateral triangles reconstructs the equivalent area of the larger right triangle. Now we have six equal sides proving the <\/span>Pythagorean theorem. There is no <\/span>equivalent theorem for n > 2. <\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

“The story starts with Pierre de Fermat, one of the all-time great mathematicians, who claimed he could prove that the […]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2981","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p2R4NI-M5","_links":{"self":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2981","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2981"}],"version-history":[{"count":2,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2981\/revisions"}],"predecessor-version":[{"id":2997,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2981\/revisions\/2997"}],"wp:attachment":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2981"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2981"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2981"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}