{"id":34604,"date":"2025-05-19T23:02:26","date_gmt":"2025-05-19T20:02:26","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?page_id=34604"},"modified":"2025-07-08T13:03:29","modified_gmt":"2025-07-08T10:03:29","slug":"ayin-sorusu-mayis-2025","status":"publish","type":"page","link":"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-mayis-2025\/","title":{"rendered":"Ay\u0131n Sorusu \u2013 May\u0131s 2025"},"content":{"rendered":"<p><em>n<\/em> bir pozitif tam say\u0131 olmak \u00fczere, <em>n<\/em> say\u0131s\u0131n\u0131 a\u015fmayan ve <em>n<\/em> ile aralar\u0131nda asal olan t\u00fcm pozitif tam say\u0131lar\u0131n k\u00fcmesi S<sub><em>n<\/em><\/sub> olsun. f(<em>n<\/em>) say\u0131s\u0131, S<em><sub>n<\/sub><\/em> k\u00fcmesini birbirinden ayr\u0131k f(<em>n<\/em>) altk\u00fcmeye, bu altk\u00fcmelerin her birinin elemanlar\u0131 bir aritmetik dizi olu\u015fturacak \u015fekilde ay\u0131rabilmeyi m\u00fcmk\u00fcn k\u0131lan en k\u00fc\u00e7\u00fck pozitif tam say\u0131 olarak tan\u0131mlan\u0131yor. <em>a, b<\/em> &gt; 2025, <em>a<\/em>|<em>b<\/em> ve f(<em>a<\/em>) 6 |f(<em>b<\/em>) ko\u015fullar\u0131n\u0131 sa\u011flayan sonsuz \u00e7oklukta (<em>a, b<\/em>) ikilisi bulundu\u011funu g\u00f6steriniz.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Soruyu \u00c7\u00f6zenler:<\/strong><\/p>\n<ul>\n<li>Toshihiro Shimizu Kawasaki, Japonya<\/li>\n<li>Mahmut Semih Ba\u015f\u00a0\u0130stanbul Teknik \u00dcniversitesi<\/li>\n<li>Ramazan Kara\u015fahin\u00a0Ankara<\/li>\n<li>Hasan Z\u00fcbeyr Demir\u00a0Ankara<\/li>\n<li>Magnus Jakobsson Lund, \u0130sve\u00e7<\/li>\n<li>\u00d6zg\u00fcr Soysal\u00a0Bilkent \u00dcniversitesi<\/li>\n<li>Murat Be\u015fli\u00a0Politecnico di Torino, \u0130talya<\/li>\n<li>Arda Karahan\u00a0Trabzon Fen Lisesi<\/li>\n<li>Ananda Raidu\u00a0Rajahmundry, Hindistan<\/li>\n<li>Serhat G\u00fcldo\u011fan\u00a0Ko\u00e7 \u00dcniversitesi<\/li>\n<\/ul>\n<p><strong>\u00c7\u00f6z\u00fcm\u00fc:\u00a0<a href=\"https:\/\/math.bilkent.edu.tr\/Soru\/2505c.pdf\">2505c.pdf (bilkent.edu.tr)<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>n bir pozitif tam say\u0131 olmak \u00fczere, n say\u0131s\u0131n\u0131 a\u015fmayan ve n ile aralar\u0131nda asal olan t\u00fcm pozitif tam say\u0131lar\u0131n k\u00fcmesi Sn olsun. f(n) say\u0131s\u0131, Sn k\u00fcmesini birbirinden ayr\u0131k f(n) altk\u00fcmeye, bu altk\u00fcmelerin her birinin elemanlar\u0131 bir aritmetik dizi olu\u015fturacak \u015fekilde ay\u0131rabilmeyi m\u00fcmk\u00fcn k\u0131lan en k\u00fc\u00e7\u00fck pozitif tam say\u0131 olarak [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/ayin-sorusu-mayis-2025\/\" 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-34604","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/34604","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=34604"}],"version-history":[{"count":5,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/34604\/revisions"}],"predecessor-version":[{"id":34935,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/pages\/34604\/revisions\/34935"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=34604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}