{"id":29,"date":"2004-05-31T14:32:21","date_gmt":"2004-05-31T14:32:21","guid":{"rendered":"http:\/\/www.sixthform.info\/maths\/?p=29"},"modified":"2004-05-31T14:32:21","modified_gmt":"2004-05-31T14:32:21","slug":"new-mersenne-prime","status":"publish","type":"post","link":"https:\/\/www.sixthform.info\/maths\/?p=29","title":{"rendered":"New Mersenne Prime"},"content":{"rendered":"<p>It&#8217;s not often that one can report mathematics news but two weeks ago a new Mersenne prime was discovered. A Mersenne prime is a prime number of the form <img src='\/maths\/latexrender\/pictures\/e7e07b07fe5015e4e5d0701a93ce3f17.gif' title='2^p-1' alt='2^p-1' align=absmiddle> ie one less than a power of two. It is easy to show that <img src='\/maths\/latexrender\/pictures\/83878c91171338902e0fe0fb97a8c47a.gif' title='p' alt='p' align=absmiddle> itself must also be prime. The new prime number is <img src='\/maths\/latexrender\/pictures\/e8dc708121bdc9f54ece6f4446c4b4b9.gif' title='2^{24,036,583}-1' alt='2^{24,036,583}-1' align=absmiddle> has 7,235,733 decimal digits and was found on a 2.4 GHz Pentium 4 computer running Windows XP.<\/p>\n<p>You can help search for larger primes and possibly win $100,000 for discovering the first 10-million-digit prime. See the <a href=\"http:\/\/www.mersenne.org\" target=\"_blank\">Great Internet Mersenne Prime Search (GIMPS)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>It&#8217;s not often that one can report mathematics news but two weeks ago a new Mersenne prime was discovered. A Mersenne prime is a prime number of the form ie one less than a power of two. It is easy to show that itself must also be prime. The new prime number is has 7,235,733 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-29","post","type-post","status-publish","format-standard","hentry","category-articles"],"_links":{"self":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=29"}],"version-history":[{"count":0,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/29\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=29"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=29"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}