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 B1B2 B1 B2
M64,948,2912013-12-13675,00017,043,75021,176,695,8091,176,695,809174,325%6,904%
M90,086,5972019-01-04740,00014,985,00012145,709,041145,709,04119,690%972%
M152,8972016-11-16100,000,0002,000,000,0001297,648,2374,992,293,60998%250%
M536,9292014-10-271,500,00050,000,0001269,372,24169,372,2414,625%139%
M1,361,6032015-01-12500,00015,000,0001268,740,68168,740,68113,748%458%
M77,015,5512015-04-23715,00015,015,0001264,481,20164,481,2019,018%429%
M108,7392016-12-03100,000,0002,000,000,0001261,641,42135,231,731,78962%1,762%
M163,0212017-04-23100,000,0002,000,000,0001248,099,25111,463,273,84148%573%
M349,8712016-11-0360,000,0003,000,000,0001224,362,7974,176,332,05341%139%
M66,040,4892014-03-23640,00013,600,0001216,008,00116,008,0012,501%118%
M87,828,5412018-05-26715,00014,121,250129,541,9219,541,9211,335%68%
M1,584,1572015-04-1310,000,000200,000,000129,442,72924,265,355,70194%12,133%
M166,1832017-04-25100,000,0002,000,000,000129,370,1592,405,007,4999%120%
M72,461,5132015-07-19625,00012,500,000129,138,5299,138,5291,462%73%
M1,609,0632015-02-1110,000,000200,000,000124,351,547610,210,89144%305%
M74,221,0392015-06-21735,00016,537,500123,948,1693,948,169537%24%
M416,4972016-10-305,000,00040,000,000123,769,33170,116,84175%175%
M131,7832017-03-22100,000,0002,000,000,000123,632,4432,917,179,2834%146%
M1,247,8672015-01-05300,00010,000,000123,279,7213,279,7211,093%33%
M269,0632016-10-285,000,00040,000,000123,124,631253,321,11162%633%
M1,006,1632016-08-115,000,00020,400,000122,657,91146,856,35353%230%
M36,115,0992015-08-16500,00010,000,000122,582,4492,582,449516%26%
M74,284,1592015-07-12740,00016,650,000122,380,8492,380,849322%14%
M1,809,8512015-05-122,780,00091,760,000122,282,807129,603,04382%141%
M2,052,1192016-01-31500,00015,000,000122,163,8412,163,841433%14%
M2,070,7812018-03-126,000,000200,000,000122,111,969282,062,62935%141%
M21,582,8172015-06-17450,0009,500,000122,042,0412,042,041454%21%
M287,3932016-11-075,000,00040,000,000121,994,05954,004,36940%135%
M1,298,7792016-08-082,500,00062,500,000121,937,059129,438,45177%207%
M103,9692016-09-115,000,00040,000,000121,846,46998,735,32337%247%
M1,995,0132018-02-161,995,01360,000,000121,620,46162,883,97381%105%
M1,450,9132016-08-212,500,00062,500,000121,586,911231,413,62963%370%
M1,670,8192018-06-111,670,819167,081,900121,559,093188,395,57393%113%
M139,788,6792016-11-1611,000110,0001,408,9691,408,96912,809%1,281%
M2,616,3712019-03-062,000,00060,000,000121,278,631193,334,74964%322%
M1,899,3012018-02-101,899,30156,045,360121,243,631230,901,90165%412%
M2,351,5792018-03-252,000,00060,000,000121,242,62985,865,74962%143%
M1,738,7272015-06-22500,00015,000,000121,142,7611,142,761229%8%
M459,5212014-12-113,000,000100,000,000121,131,253144,860,86938%145%
M440,2272014-11-213,000,000100,000,000121,100,009163,285,00937%163%
M2,379,7572018-06-082,000,00060,000,000121,087,117749,746,26754%1,250%
M2,510,7432018-11-082,000,00060,000,000121,025,513256,656,57751%428%
M1,745,5812018-07-201,745,581174,558,100121,020,431261,688,75958%150%
M56,389,3792018-06-241,000,00020,000,0006996,103415,656,427100%2,078%
M2,793,8872017-04-182,700,00084,000,00012995,147305,538,21737%364%
M2,306,5192017-12-216,000,000180,000,00012960,077184,216,69316%102%
M39,018,2092018-11-07325,0006,581,25012942,841942,841290%14%
M3,209,0772015-10-13155,0003,952,5006912,673912,673589%23%
M66,349,4172014-04-27640,00013,600,0006863,041863,041135%6%
M1,243,3492015-01-074,218,475156,083,56512860,929156,690,81720%100%
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