Mersenne numbers with P-1 factors found via Brent-Suyama extension:
Exponents in range: M - M
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Actual Bounds
(Brent-Suyama)
Minimum Required
(no Brent-Suyama ext.)
Required / Actual
Exponent Date B1 B2 e B1 B2B1 B2
M38,635,9692014-12-10435,00010,331,2501276953,690,441,6570%519,690%
M108,7392016-12-03100,000,0002,000,000,0001261,641,42135,231,731,78962%1,762%
M99,173,4532019-10-26985,00024,625,0006183,26330,522,262,84319%123,948%
M192,4972017-08-07100,000,0002,000,000,0001275,40726,353,751,4010%1,318%
M1,584,1572015-04-1310,000,000200,000,000129,442,72924,265,355,70194%12,133%
M100,999,1892015-11-081,115,00033,450,000619,47718,660,890,9592%55,787%
M169,0632017-05-24100,000,0002,000,000,000121,87115,837,863,5930%792%
M1,939,3312018-02-088,000,000320,000,0001290713,115,450,8090%4,099%
M3,610,8972020-06-0315,000,000450,000,0001288712,530,936,3210%2,785%
M3,801,7312020-12-1330,000,000600,000,000124,640,26712,222,383,55715%2,037%
M163,0212017-04-23100,000,0002,000,000,0001248,099,25111,463,273,84148%573%
M4,999,5372021-10-2150,000,0002,500,000,0001266,88311,319,941,2510%453%
M6,972,0612019-02-2110,000,000250,000,000121,09111,287,420,0090%4,515%
M106,952,8612020-03-08845,00016,900,000122,1299,349,632,8690%55,323%
M3,642,2412020-08-2330,000,000600,000,000122,568,5236,429,342,6379%1,072%
M313,9912016-06-1260,000,0003,000,000,0001247,0416,243,210,7690%208%
M805,6872015-11-308,056,870241,706,10012135,7276,064,352,5332%2,509%
M89,583,0492019-01-15785,00019,036,250643,7115,388,910,4776%28,309%
M2,010,0372016-01-20500,00015,000,0001215,3915,319,691,4713%35,465%
M152,8972016-11-16100,000,0002,000,000,0001297,648,2374,992,293,60998%250%
M3,006,5512019-01-0732,773,2911,868,077,58712162,7094,784,532,7570%256%
M2,483,9112018-10-182,000,00060,000,000126254,598,941,2610%7,665%
M88,729,1692018-11-23765,00018,933,75061134,524,761,2810%23,898%
M1,391,9272016-06-173,322,8936,645,78661074,355,157,1270%65,533%
M248,0632021-08-0530,000,0003,000,000,000241,155,9234,290,291,7394%143%
M349,8712016-11-0360,000,0003,000,000,0001224,362,7974,176,332,05341%139%
M58,814,2792017-10-17980,23719,604,75912163,8114,163,579,47717%21,238%
M1,589,7012015-01-3010,000,000200,000,000123614,062,808,5490%2,031%
M337,1532016-08-3160,000,0003,000,000,00012208,6873,635,424,0970%121%
M112,721,3172013-11-231,215,00039,183,75063,8513,487,581,4210%8,901%
M436,7392016-11-145,000,00040,000,00012227,2673,370,298,3415%8,426%
M13,999,4592020-04-201,000,00050,000,0001280,9293,237,373,8618%6,475%
M437,5192014-11-193,000,000100,000,00012162,992,131,0730%2,992%
M131,7832017-03-22100,000,0002,000,000,000123,632,4432,917,179,2834%146%
M1,951,4932018-01-201,951,49330,000,00012710,6272,915,830,78936%9,719%
M6,972,6072019-02-185,000,000150,000,0001277,0032,841,329,7372%1,894%
M3,676,6392020-10-2730,000,000600,000,0001223,6092,601,872,9470%434%
M30,945,6312020-03-28360,0006,300,0001240,8292,555,332,62111%40,561%
M83,952,2512017-04-09670,00013,232,5001233,4872,501,891,4615%18,907%
M1,526,9772015-03-1810,000,000200,000,0001215,1612,467,641,3610%1,234%
M458,7912014-12-113,000,000100,000,000126732,443,690,5070%2,444%
M166,1832017-04-25100,000,0002,000,000,000129,370,1592,405,007,4999%120%
M1,653,2512015-04-16500,00015,000,000121212,294,652,3410%15,298%
M158,4192016-12-27100,000,0002,000,000,0001225,4112,284,883,7010%114%
M1,545,0072015-03-1210,000,000200,000,0001242,1812,278,866,1810%1,139%
M3,299,3892020-01-223,000,00090,000,0001289,6532,276,831,9173%2,530%
M178,4172017-05-25100,000,0002,000,000,00012153,5232,237,083,0270%112%
M79,531,0092016-12-26670,00013,232,50062,9092,075,285,6230%15,683%
M75,579,3412015-04-14700,00014,525,000613,4111,992,942,7332%13,721%
M40,716,3312019-10-27600,00012,000,00067191,975,084,7170%16,459%
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