{"id":2121,"date":"2021-07-18T11:22:07","date_gmt":"2021-07-18T11:22:07","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2121"},"modified":"2021-07-24T11:23:06","modified_gmt":"2021-07-24T11:23:06","slug":"enteros-olimpicos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2021\/07\/18\/enteros-olimpicos\/","title":{"rendered":"Enteros ol\u00edmpicos"},"content":{"rendered":"<pre>Problema 2 de la fase nacional de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2021)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Dado un n\u00famero entero positivo n, definimos \u03bb(n) como el n\u00famero de soluciones enteras positivas de la ecuaci\u00f3n x\u00b2 \u2013 y\u00b2 = n.<\/p>\n<p>Diremos que el n\u00famero n es \u201col\u00edmpico\u201d si \u03bb(n) = 2021.<\/p>\n<p>\u00bfCu\u00e1l es el primer entero positivo que es ol\u00edmpico?<\/p>\n<p>\u00bfY cu\u00e1l es el menor entero positivo impar que es ol\u00edmpico?<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/205.enterolimpico.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-2122\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/205.enterolimpico.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2021\/07\/205.enterolimpico-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2021\/07\/24\/solucion-a-enteros-olimpicos\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 2 de la fase nacional de la 57 Olimpiada Matem\u00e1tica Espa\u00f1ola (2021) Se dirige a una edad de: 16-17 a\u00f1os Dado un n\u00famero entero positivo n, definimos \u03bb(n) como el n\u00famero de soluciones enteras positivas de la ecuaci\u00f3n x\u00b2 \u2013 y\u00b2 = n. Diremos que el n\u00famero n es \u201col\u00edmpico\u201d si \u03bb(n) = 2021. [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849,3303],"tags":[],"class_list":["post-2121","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas","category-soluciones"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2121","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=2121"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2121\/revisions"}],"predecessor-version":[{"id":2128,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2121\/revisions\/2128"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}