{"id":28036,"date":"2021-09-10T12:43:26","date_gmt":"2021-09-10T16:43:26","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=28036"},"modified":"2021-09-10T12:43:28","modified_gmt":"2021-09-10T16:43:28","slug":"liouville-proved-the-following-property-of-the-divisors-of-the-divisors-of-a-number","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=28036","title":{"rendered":"Liouville proved the following property of the divisors of the divisors of a number"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Liouville proved the following property of the divisors of the divisors of a number:<br>1) Start with a number (e.g. 10)<br>2) Write down its divisors (1,2,5,10)<br>3) Write down the number of divisors of each divisor (1,2,2,4)<br>4) (1+2+2+4)\u00b2=81=1\u00b3+2\u00b3+2\u00b3+4\u00b3 <a href=\"https:\/\/t.co\/6YbXLdSszC\">pic.twitter.com\/6YbXLdSszC<\/a><\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1425443472811692033?ref_src=twsrc%5Etfw\">August 11, 2021<\/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-28036","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28036","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=28036"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28036\/revisions"}],"predecessor-version":[{"id":28037,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28036\/revisions\/28037"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28036"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28036"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}