{"id":219,"date":"2008-09-19T08:36:11","date_gmt":"2008-09-19T11:36:11","guid":{"rendered":"http:\/\/scienceblogs.com.br\/cretinas\/2008\/09\/mersenne-45-e-46-atualizacao\/"},"modified":"2008-09-19T08:36:11","modified_gmt":"2008-09-19T11:36:11","slug":"mersenne-45-e-46-atualizacao","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/cretinas\/2008\/09\/19\/mersenne-45-e-46-atualizacao\/","title":{"rendered":"Mersenne 45 e 46 &#8211; atualiza\u00e7\u00e3o"},"content":{"rendered":"<p>Confirmada a descoberta do 45\u00ba e do 46\u00ba n\u00fameros primos de Mersenne &#8212; isto \u00e9, que podem ser expressos na forma 2^p-1. Mersenne 45 tem a forma\u00a02<sup>43.112.609<\/sup>-1, e Mersenne 46,\u00a0\u00a02<sup>37.156.667<\/sup>-1. Ambos foram descobertos gra\u00e7s ao <a href=\"http:\/\/www.mersenne.org\/\" target=\"_blank\" rel=\"noopener noreferrer\">GIMPS<\/a>, um sistema de computa\u00e7\u00e3o distribu\u00edda, e o Mersenne 45, por ser o primeiro n\u00famero primo com mais de 10 milh\u00f5es de d\u00edgitos ( 12.987.189 para ser exato), faz jus a um pr\u00eamio de US$ 100 mil.<br \/>\nO pr\u00f3ximo pr\u00eamio, de US$ 150 mil, est\u00e1 prometido para o primeiro primo de <em>100 milh\u00f5es de d\u00edgitos. <\/em>Quem quiser uma parte da boloada quando (e se)\u00a0\u00a0ela for ganha, pode baixar o software do site GIMPS e p\u00f4r a m\u00e1quiina pra trabalhar.<br \/>\nA transcri\u00e7\u00e3o completa do Mersenne 45 ocupa um <a href=\"http:\/\/prime.isthe.com\/no.index\/chongo\/merdigit\/long-m43112609\/prime-c.html\" target=\"_blank\" rel=\"noopener noreferrer\">arquivo de texto de 16 MB<\/a>.<br \/>\nAbaixo, uma palhinha:<\/p>\n<pre>316,470,269,330,255,923,143,453,723,949,\n337,516,054,106,188,475,264,644,140,304,176,732,811,247,493,069,368,692,043,\n185,121,611,837,856,726,816,539,985,465,097,356,123,432,645,179,673,853,590,\n577,238,179,357,900,876,426,103,943,782,376,494,591,742,934,588,497,117,587,\n146,916,972,984,761,159,060,873,250,939,462,085,575,740,754,577,098,620,558,\n011,779,529,884,042,198,287,643,319,330,465,064,455,234,988,142,139,565,785,\n447,474,023,546,353,758,537,324,801,838,120,387,600,868,416,525,400,790,381,\n285,888,256,687,085,855,456,231,577,527,939,305,920,811,766,585,308,670,132,\n129,155,221,804,381,548,625,787,943,020,694,528,015,999,221,718,191,557,761,\n789,038,539,522,349,746,808,797,476,907,664,050,601,248,473,206,874,133,194,\n663,585,334,983,805,734,803,620,705,778,270,910,561,716,767,680,954,814,415,\n310,034,502,440,445,161,332,363,611,749,326,163,346,444,542,332,941,724,120,\n365,148,892,204,420,675,302,563,534,393,044,688,859,445,173,161,934,549,310,\n336,116,821,178,855,375,531,041,423,821,706,430,796,012,246,288,037,483,476,\n218,396,982,916,073,816,451,058,991,831,512,686,327,488,459,585,043,246,778,\n160,788,873,343,661,684,676,258,006,436,582,840,222,063,757,785,048,077,389,\n404,912,747,062,648,672,186,003,349,751,782,781,879,120,470,020,388,873,779,\n589,349,589,877,119,954,283,343,288,199,886,936,593,732,250,320,339,998,610,\n072,339,381,292,833,594,919,318,294,607,585,610,592,445,446,058,872,982,335,\n(....)<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Confirmada a descoberta do 45\u00ba e do 46\u00ba n\u00fameros primos de Mersenne &#8212; isto \u00e9, que podem ser expressos na forma 2^p-1. Mersenne 45 tem a forma\u00a0243.112.609-1, e Mersenne 46,\u00a0\u00a0237.156.667-1. Ambos foram descobertos gra\u00e7s ao GIMPS, um sistema de computa\u00e7\u00e3o distribu\u00edda, e o Mersenne 45, por ser o primeiro n\u00famero primo com mais de 10 [&hellip;]<\/p>\n","protected":false},"author":545,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"editor_plus_copied_stylings":"{}","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-219","post","type-post","status-publish","format-standard","hentry","category-geral"],"_links":{"self":[{"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/posts\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/users\/545"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":0,"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/posts\/219\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/categories?post=219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.unicamp.br\/cretinas\/wp-json\/wp\/v2\/tags?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}