{"id":22793,"date":"2024-10-09T00:19:19","date_gmt":"2024-10-08T21:19:19","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?page_id=22793"},"modified":"2024-11-12T08:56:44","modified_gmt":"2024-11-12T05:56:44","slug":"problem-of-the-month-october-2024","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-october-2024\/","title":{"rendered":"Problem of the Month \u2013 October 2024"},"content":{"rendered":"<p>We say that a positive integer <em>k<\/em> is <em>nice<\/em> if there is a positive integer <em>n<\/em> having exactly <em>k<\/em> positive<br \/>\ndivisors <em>d1<\/em>, . . . , <em>dk<\/em> such that <em>di<\/em> \u2260 <em>dj<\/em> (mod <em>k<\/em> + 1) for all <em>i<\/em>\u00a0\u2260 <em>j<\/em>. Find all nice numbers<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Correct Solutions by,<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japan<\/li>\n<li>Emre Bekta\u015f Bo\u011fazi\u00e7i University<\/li>\n<li>Taner Erdem Aky\u0131ld\u0131z\u00a0\u00d6zel \u0130zmir Bah\u00e7e\u015fehir 50.Y\u0131l Fen ve Teknoloji Lisesi<\/li>\n<li>Mehmet \u00c7a\u011fatay \u00dcnl\u00fc\u00a0\u0130stanbul Atat\u00fcrk Fen Lisesi<\/li>\n<li>M\u00fcmtaz Ula\u015f Keskin Erciyez University<\/li>\n<li>Mertcan Duru\u00a0\u00d6zel \u0130zmir Bah\u00e7e\u015fehir 50.Y\u0131l Fen ve Teknoloji Lisesi<\/li>\n<li>Hamza Akdeniz\u00a0Bilkent University<\/li>\n<li>Roger Bengtsson Lund, Sweden<\/li>\n<li>Halit \u0130sa Ko\u00e7\u00a0\u0130stanbul Technical University<\/li>\n<li>Magnus Jakobsson Lund, Sweden<\/li>\n<li>Choi Min Kyu South Korea<\/li>\n<li>Hamza Alaberdiyew<\/li>\n<li>Arda Karahan Trabzon Fen Lisesi<\/li>\n<\/ul>\n<p><strong>Solution:\u00a0<a href=\"http:\/\/www.fen.bilkent.edu.tr\/~cvmath\/Problem\/2410a.pdf\">2410a.pdf (bilkent.edu.tr)<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We say that a positive integer k is nice if there is a positive integer n having exactly k positive divisors d1, . . . , dk such that di \u2260 dj (mod k + 1) for all i\u00a0\u2260 j. Find all nice numbers &nbsp; Correct Solutions by, Toshihiro Shimizu [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/problem-of-the-month-october-2024\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-22793","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/22793","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=22793"}],"version-history":[{"count":5,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/22793\/revisions"}],"predecessor-version":[{"id":23167,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/pages\/22793\/revisions\/23167"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=22793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}