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 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%
M2,471,0932019-04-116,000,000180,000,000125,310,967280,122,21189%156%
M94,729,4472019-08-26775,00015,500,00065,230,3695,230,369675%34%
M3,801,7312020-12-1330,000,000600,000,000124,640,26712,222,383,55715%2,037%
M1,609,0632015-02-1110,000,000200,000,000124,351,547610,210,89144%305%
M102,046,3372021-01-045,000,0005,000,0004,149,4338,372,46783%167%
M3,474,8592019-06-0320,00040,0004,068,2894,068,28920,341%10,171%
M3,640,3332020-08-2030,000,000600,000,000123,971,549632,430,19313%105%
M74,221,0392015-06-21735,00016,537,500123,948,1693,948,169537%24%
M107,652,7492021-02-145,500,0005,500,0003,904,24939,243,46171%714%
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%
M18,564,0192020-03-19370,0007,862,500123,485,6893,485,689942%44%
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%
M102,646,0672021-02-14855,00017,955,000122,647,1292,647,129310%15%
M36,115,0992015-08-16500,00010,000,000122,582,4492,582,449516%26%
M3,642,2412020-08-2330,000,000600,000,000122,568,5236,429,342,6379%1,072%
M3,159,9732019-06-283,000,000100,000,000122,554,843313,492,56185%313%
M104,592,7132020-12-125,000,0005,000,0002,448,7037,471,95749%149%
M74,284,1592015-07-12740,00016,650,000122,380,8492,380,849322%14%
M104,040,2832020-11-115,000,0005,000,0002,376,88311,061,83948%221%
M101,160,4812020-11-185,000,0005,000,0002,333,38185,036,32147%1,701%
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%
M2,810,8932019-09-222,810,89328,108,930122,044,51928,248,94973%100%
M21,582,8172015-06-17450,0009,500,000122,042,0412,042,041454%21%
M102,348,2272021-01-255,000,0005,000,0002,016,26916,718,72940%334%
M100,369,7812020-10-125,000,0005,000,0002,006,65967,281,28940%1,346%
M287,3932016-11-075,000,00040,000,000121,994,05954,004,36940%135%
M14,057,8632020-10-227,000,000210,000,000121,962,997553,626,64328%264%
M1,298,7792016-08-082,500,00062,500,000121,937,059129,438,45177%207%
M2,882,0292020-02-205,000,000200,000,000121,902,421361,920,75138%181%
M91,241,9112019-05-12700,00013,300,000121,885,1291,885,129269%14%
M103,9692016-09-115,000,00040,000,000121,846,46998,735,32337%247%
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