{"id":26213,"date":"2020-10-30T09:44:17","date_gmt":"2020-10-30T13:44:17","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=26213"},"modified":"2020-10-30T09:44:19","modified_gmt":"2020-10-30T13:44:19","slug":"proof-that-e-is-irrational-in-1-tweet","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=26213","title":{"rendered":"Proof that &#8220;e&#8221; is irrational in 1 Tweet"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Proof that &quot;e&quot; is irrational in 1 Tweet:<br><br>If e was rational e=p\/v= \u2211\u1d5b\u1d62\u208c\u2080 1\/i! + \u2211\u1d62\u208c\u1d65\u208a\u2081 1\/i!<br>Multiplying by v!<br><br>p(v-1)! &#8211; \u2211\u1d5b\u1d62\u208c\u2080 v!\/i! = 1\/(v+1)+1\/(v+1)(v+2)+&#8230; &lt;1\/(v+1)+1\/(v+1)\u00b2+&#8230;=1\/v<br><br>The left side is an integer but 0&lt; 1\/v &lt;1, hence the assumption is false\u25aa<\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1322168378988089345?ref_src=twsrc%5Etfw\">October 30, 2020<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-26213","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/26213","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=26213"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/26213\/revisions"}],"predecessor-version":[{"id":26214,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/26213\/revisions\/26214"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}