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 B1B2 e B1 B2 B1 B2
M108,7392016-12-03100,000,0002,000,000,0001261,641,42135,231,731,78962%1,762%
M131,7832017-03-22100,000,0002,000,000,000123,632,4432,917,179,2834%146%
M152,8972016-11-16100,000,0002,000,000,0001297,648,2374,992,293,60998%250%
M158,4192016-12-27100,000,0002,000,000,0001225,4112,284,883,7010%114%
M163,0212017-04-23100,000,0002,000,000,0001248,099,25111,463,273,84148%573%
M166,1832017-04-25100,000,0002,000,000,000129,370,1592,405,007,4999%120%
M169,0632017-05-24100,000,0002,000,000,000121,87115,837,863,5930%792%
M178,4172017-05-25100,000,0002,000,000,00012153,5232,237,083,0270%112%
M192,4972017-08-07100,000,0002,000,000,0001275,40726,353,751,4010%1,318%
M313,9912016-06-1260,000,0003,000,000,0001247,0416,243,210,7690%208%
M337,1532016-08-3160,000,0003,000,000,00012208,6873,635,424,0970%121%
M349,8712016-11-0360,000,0003,000,000,0001224,362,7974,176,332,05341%139%
M260,8932016-01-2442,053,283420,532,8301215,6611,550,034,5530%369%
M3,006,5512019-01-0732,773,2911,868,077,58712162,7094,784,532,7570%256%
M1,505,4892015-01-2710,000,000200,000,000124,153257,849,0770%129%
M1,511,1192015-01-2510,000,000200,000,000121,277586,191,7690%293%
M1,526,9772015-03-1810,000,000200,000,0001215,1612,467,641,3610%1,234%
M1,545,0072015-03-1210,000,000200,000,0001242,1812,278,866,1810%1,139%
M1,563,9672015-04-2110,000,000200,000,0001250,993242,350,8311%121%
M1,567,4832015-04-1310,000,000200,000,0001228,027501,825,7490%251%
M1,584,1572015-04-1310,000,000200,000,000129,442,72924,265,355,70194%12,133%
M1,589,7012015-01-3010,000,000200,000,000123614,062,808,5490%2,031%
M1,609,0632015-02-1110,000,000200,000,000124,351,547610,210,89144%305%
M1,668,6492018-05-2510,000,000200,000,00012690,887368,360,5617%184%
M2,009,9812015-05-1310,000,000200,000,00012474,907234,839,6115%117%
M6,972,0612019-02-2110,000,000250,000,000121,09111,287,420,0090%4,515%
M723,1132015-11-309,738,442292,153,26012185,137631,140,2772%216%
M816,1312015-12-028,161,310244,839,30012814,943452,185,63310%185%
M805,6872015-11-308,056,870241,706,10012135,7276,064,352,5332%2,509%
M1,936,3272018-02-068,000,000320,000,0001270,3811,317,229,5791%412%
M1,939,3312018-02-088,000,000320,000,0001290713,115,450,8090%4,099%
M625,9792015-11-096,259,790187,793,70012529851,535,7810%453%
M601,9612015-11-056,019,610180,588,300129,871998,353,5130%553%
M2,070,7812018-03-126,000,000200,000,000122,111,969282,062,62935%141%
M2,305,7632018-02-246,000,000180,000,00012348,547884,051,1736%491%
M2,306,5192017-12-216,000,000180,000,00012960,077184,216,69316%102%
M2,467,8672019-03-176,000,000180,000,0001218,9471,120,420,5290%622%
M2,471,0932019-04-116,000,000180,000,000125,310,967280,122,21189%156%
M64,1892016-09-075,000,00040,000,0001252,639241,760,4371%604%
M103,9692016-09-115,000,00040,000,000121,846,46998,735,32337%247%
M185,1892016-10-065,000,00040,000,00012105,863200,215,5172%501%
M225,1572016-10-225,000,00040,000,00012432,79349,075,9099%123%
M269,0632016-10-285,000,00040,000,000123,124,631253,321,11162%633%
M287,3932016-11-075,000,00040,000,000121,994,05954,004,36940%135%
M370,1932016-11-015,000,00040,000,000122,333390,278,5570%976%
M391,7392016-11-155,000,00040,000,00012799,21740,019,22716%100%
M416,4972016-10-305,000,00040,000,000123,769,33170,116,84175%175%
M436,7392016-11-145,000,00040,000,00012227,2673,370,298,3415%8,426%
M1,006,1632016-08-115,000,00020,400,000122,657,91146,856,35353%230%
M1,140,7092015-03-285,000,000200,000,0001242,743356,700,1091%178%
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