Mersenne numbers with P-1 factors found via Brent-Suyama extension:
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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%
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%
M163,0212017-04-23100,000,0002,000,000,0001248,099,25111,463,273,84148%573%
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%
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%
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%
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%
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%
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%
M840,2692014-09-21300,00010,000,0001263,4091,869,284,53921%18,693%
M82,651,7872016-11-27705,00014,452,500129531,751,276,3330%12,117%
M76,642,5472016-04-03665,00013,300,00012233,3291,623,520,93935%12,207%
M260,8932016-01-2442,053,283420,532,8301215,6611,550,034,5530%369%
M551,1132014-11-051,500,00050,000,0001227,6731,447,152,9772%2,894%
M84,593,2212017-11-19675,00013,331,250122,7191,435,644,2830%10,769%
M478,9312014-12-103,000,000100,000,00012566,1491,406,975,40719%1,407%
M590,0332014-10-311,500,00050,000,00012155,4131,320,077,88710%2,640%
M1,936,3272018-02-068,000,000320,000,0001270,3811,317,229,5791%412%
M4,421,9292016-09-151,800,00068,000,00012591,265,476,9390%1,861%
M1,099,7112016-09-302,500,000220,000,00012118,2591,243,904,4375%565%
M64,948,2912013-12-13675,00017,043,75021,176,695,8091,176,695,809174,325%6,904%
M1,890,8092015-08-20500,00015,000,00012355,3791,095,918,64171%7,306%
M333,043,2192017-01-083,165,000104,445,000127,5291,075,437,3790%1,030%
M75,030,5592015-08-09655,00013,100,0001255,9971,071,618,7399%8,180%
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