{"id":537,"date":"2018-05-27T16:49:38","date_gmt":"2018-05-27T16:49:38","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=537"},"modified":"2018-06-02T16:02:37","modified_gmt":"2018-06-02T16:02:37","slug":"divisibilidad","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2018\/05\/27\/divisibilidad\/","title":{"rendered":"Divisibilidad"},"content":{"rendered":"<pre>Problema 5 de la Fase Local (s\u00e1bado) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sean a, b y c n\u00fameros naturales primos, distintos dos a dos.<\/p>\n<p>Demuestra que el n\u00famero (ab)<sup>c &#8211; 1<\/sup> + (bc)<sup>a &#8211; 1<\/sup> + (ac)<sup>b &#8211; 1<\/sup> \u2013 1 es un m\u00faltiplo del producto abc.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/44.divisibilidad.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-539\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/44.divisibilidad.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/44.divisibilidad-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2018\/06\/02\/solucion-a-divisibilidad\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 5 de la Fase Local (s\u00e1bado) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018) Se dirige a una edad de: 16-17 a\u00f1os Sean a, b y c n\u00fameros naturales primos, distintos dos a dos. Demuestra que el n\u00famero (ab)c &#8211; 1 + (bc)a &#8211; 1 + (ac)b &#8211; 1 \u2013 1 es un m\u00faltiplo del producto [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2849],"tags":[],"class_list":["post-537","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/537","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=537"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/537\/revisions"}],"predecessor-version":[{"id":549,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/537\/revisions\/549"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}