{"id":175,"date":"2012-04-07T04:14:41","date_gmt":"2012-04-07T04:14:41","guid":{"rendered":"http:\/\/www.rationalargumentator.com\/index\/?p=175"},"modified":"2012-04-07T04:16:13","modified_gmt":"2012-04-07T04:16:13","slug":"stolyarov-ecm-discover","status":"publish","type":"post","link":"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/04\/stolyarov-ecm-discover\/","title":{"rendered":"ECM Distributed Computing Project and Mr. Stolyarov Discover Factor for 118^67 + 67^118"},"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;\"><big>April 6, 2012<\/big><\/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 announce that 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>) has resulted in the discovery of a hitherto unknown factor for a large number. I am credited with the discovery <a href=\"http:\/\/www.rechenkraft.net\/yoyo\/y_factors_ecm.php?u=21743\">here<\/a>.<\/p>\n<p>Did you know that the number 118^67 + 67^118 (see its long form <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=118^67%2B67^118\">here<\/a>) has a multiplicative factor of <strong>2091937057168244837833711997693707725557784572281<\/strong> \u2013 a formidable 49-digit number?<\/p>\n<p>Well, now you know, because of all the computing power I have devoted to the ECM project since late 2011. Finding such large factors of even larger numbers is a rarity. My computer had to examine 1546 project workunits (each involving an attempt to factor a large number) before finding one that resulted in a new discovery. I have thus far accumulated <a href=\"http:\/\/www.rechenkraft.net\/yoyo\/view_profile.php?userid=21743\">277,345.88 BOINC credits<\/a> for the ECM project.<\/p>\n<p>ECM is a free distributed computing project that anyone can participate in. Its goal is to find factors for large numbers using the method of <a href=\"http:\/\/en.wikipedia.org\/wiki\/Lenstra_elliptic_curve_factorization\">Elliptic Curve Factorization<\/a>. It is highly rewarding to be able to devote otherwise idle resources to an endeavor for the convenient discovery of previously unknown truth.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>G. Stolyarov II April 6, 2012 Recommend this page. ****************************** I am pleased to announce that my participation in the ECM distributed computing project (organized via Yoyo@home) has resulted in the discovery of a hitherto unknown factor for a large number. I am credited with the discovery here. Did you know that the number 118^67 + 67^118 (see its long form here) has a multiplicative factor of 2091937057168244837833711997693707725557784572281 \u2013 a formidable 49-digit number? Well, now you know, because of all&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.rationalargumentator.com\/index\/blog\/2012\/04\/stolyarov-ecm-discover\/\"> 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":"closed","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-175","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\/175","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=175"}],"version-history":[{"count":3,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts\/175\/revisions"}],"predecessor-version":[{"id":177,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/posts\/175\/revisions\/177"}],"wp:attachment":[{"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/media?parent=175"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/categories?post=175"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rationalargumentator.com\/index\/wp-json\/wp\/v2\/tags?post=175"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}