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 eB1 B2 B1 B2
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%
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%
M185,1892016-10-065,000,00040,000,00012105,863200,215,5172%501%
M192,4972017-08-07100,000,0002,000,000,0001275,40726,353,751,4010%1,318%
M225,1572016-10-225,000,00040,000,00012432,79349,075,9099%123%
M260,8932016-01-2442,053,283420,532,8301215,6611,550,034,5530%369%
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%
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%
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%
M422,4792014-12-023,000,000100,000,000121,061305,431,4810%305%
M431,8912014-11-123,000,000100,000,00012562,493237,245,59919%237%
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%
M440,2272014-11-213,000,000100,000,000121,100,009163,285,00937%163%
M441,2632014-11-233,000,000100,000,0001219315,653,1130%316%
M441,5872014-11-233,000,000100,000,0001230,517116,729,7411%117%
M442,1932014-11-243,000,000100,000,0001232358,613,0810%359%
M444,6712014-11-273,000,000100,000,000121,567171,308,4610%171%
M451,0932014-12-033,000,000100,000,00012953120,863,7890%121%
M456,1492014-12-093,000,000100,000,000121,627114,005,9110%114%
M458,7912014-12-113,000,000100,000,000126732,443,690,5070%2,444%
M459,5212014-12-113,000,000100,000,000121,131,253144,860,86938%145%
M478,9312014-12-103,000,000100,000,00012566,1491,406,975,40719%1,407%
M486,6772014-11-213,000,000100,000,00012635,087305,396,46721%305%
M494,3872014-12-023,000,000100,000,00012107102,711,7690%103%
M496,6092014-12-063,000,000100,000,000121,109131,173,9090%131%
M497,5012014-12-073,000,000100,000,00012139707,005,3930%707%
M500,9532014-10-231,500,00050,000,000126,199102,204,5590%204%
M501,1912014-10-231,500,00050,000,0001213789,302,5530%179%
M505,2832014-10-251,500,00050,000,0001220,26975,190,8891%150%
M515,7732014-10-311,500,00050,000,00012302,89197,207,18920%194%
M529,0332014-11-101,500,00050,000,0001215,26359,115,7571%118%
M533,2972014-10-241,500,00050,000,00012125,11774,372,6538%149%
M535,3492014-10-261,500,00050,000,000124959,038,6690%118%
M536,9292014-10-271,500,00050,000,0001269,372,24169,372,2414,625%139%
M551,1132014-11-051,500,00050,000,0001227,6731,447,152,9772%2,894%
M556,9812014-11-101,500,00050,000,0001227176,421,1130%153%
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