{"id":720,"date":"2012-11-22T03:49:41","date_gmt":"2012-11-22T03:49:41","guid":{"rendered":"http:\/\/www.rationalargumentator.com\/index\/?p=720"},"modified":"2012-11-22T03:51:56","modified_gmt":"2012-11-22T03:51:56","slug":"ecm-discovery-november-19","status":"publish","type":"post","link":"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/11\/ecm-discovery-november-19\/","title":{"rendered":"ECM Distributed Computing Project and Mr. Stolyarov Discover Factor for 279-Digit Number (&#8220;9&#8221; Surrounded by 139 Instances of &#8220;7&#8221; Per Side)"},"content":{"rendered":"<div>\n<div style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/rationalbusinessjournal.rationalargumentator.com\/tophatwhitesm.jpg\" alt=\"The New Renaissance Hat\" width=\"150\" height=\"150\" \/><\/div>\n<\/div>\n<div style=\"text-align: center;\"><span style=\"color: #000080;\"><strong><big><big>G. Stolyarov II<\/big><\/big><\/strong><\/span><\/div>\n<div style=\"text-align: center;\"><span style=\"color: #000080;\"><strong><big>November 21, 2012<\/big><\/strong><\/span><\/div>\n<div style=\"text-align: center;\"><strong><a href=\"http:\/\/rationalargumentator.com\/recform.php\" target=\"page\">Recommend this page<\/a>.<\/strong><\/div>\n<div style=\"text-align: center;\">******************************<\/div>\n<p>I am pleased to report that a large prime factor for <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=%287*10%5e279%2B18*10%5e139-7%29%2F9\">(7\u00b710<sup>279<\/sup>+18\u00b710<sup>139<\/sup>-7)\/9<\/a> (visualized as a \u201c9\u201d surrounded by 139 instances of \u201c7\u201d on each side \u2013 for a total of \u00a0279 digits) was discovered on November 19, 2012, through my participation in the <a href=\"http:\/\/www.rechenkraft.net\/yoyo\/y_status_ecm.php\">ECM distributed computing project<\/a> (organized via <a href=\"http:\/\/www.rechenkraft.net\/yoyo\/\">Yoyo@home<\/a>). This is the fourth discovery made on my computer via the ECM project (see posts about previous discoveries <a href=\"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/04\/stolyarov-ecm-discover\/\">here<\/a> and <a href=\"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/08\/2-factors-for-ecm\/\">here<\/a>).<\/p>\n<p>The prime factor is a 53-digit number: 42684752427275029312252733896207947190538122452468697. I am credited with the discovery <a href=\"http:\/\/homepage2.nifty.com\/m_kamada\/math\/77977.htm#139\">here<\/a> and <a href=\"http:\/\/www.rechenkraft.net\/yoyo\/y_factors_ecm.php?u=21743\">here<\/a>.<\/p>\n<p>I continue to be impressed by the potential of individual hyper-empowerment through distributed computing, and I encourage my readers to also donate their idle computer time to projects that attract their interest.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>G. Stolyarov II November 21, 2012 Recommend this page. ****************************** I am pleased to report that a large prime factor for (7\u00b710279+18\u00b710139-7)\/9 (visualized as a \u201c9\u201d surrounded by 139 instances of \u201c7\u201d on each side \u2013 for a total of \u00a0279 digits) was discovered on November 19, 2012, through my participation in the ECM distributed computing project (organized via Yoyo@home). This is the fourth discovery made on my computer via the ECM project (see posts about previous discoveries here and&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/11\/ecm-discovery-november-19\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[292],"tags":[303,304,300,293,296,299,164,40,297,295,294,298,302,261,305,301],"class_list":["post-720","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-boinc","tag-discovery","tag-distributed-computing","tag-ecm","tag-elliptic-curve-factorization","tag-factors","tag-free","tag-g-stolyarov-ii","tag-large-number","tag-math","tag-mathematics-2","tag-numbers","tag-project","tag-science","tag-truth","tag-yoyohome"],"_links":{"self":[{"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts\/720","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/comments?post=720"}],"version-history":[{"count":3,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts\/720\/revisions"}],"predecessor-version":[{"id":722,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts\/720\/revisions\/722"}],"wp:attachment":[{"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/media?parent=720"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/categories?post=720"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/tags?post=720"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}