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 B1 B2 B1B2
M64,948,2912013-12-13675,00017,043,75021,176,695,8091,176,695,809174,325%6,904%
M3,474,8592019-06-0320,00040,0004,068,2894,068,28920,341%10,171%
M90,086,5972019-01-04740,00014,985,00012145,709,041145,709,04119,690%972%
M1,361,6032015-01-12500,00015,000,0001268,740,68168,740,68113,748%458%
M139,788,6792016-11-1611,000110,0001,408,9691,408,96912,809%1,281%
M77,015,5512015-04-23715,00015,015,0001264,481,20164,481,2019,018%429%
M536,9292014-10-271,500,00050,000,0001269,372,24169,372,2414,625%139%
M66,040,4892014-03-23640,00013,600,0001216,008,00116,008,0012,501%118%
M72,461,5132015-07-19625,00012,500,000129,138,5299,138,5291,462%73%
M87,828,5412018-05-26715,00014,121,250129,541,9219,541,9211,335%68%
M1,247,8672015-01-05300,00010,000,000123,279,7213,279,7211,093%33%
M94,729,4472019-08-26775,00015,500,00065,230,3695,230,369675%34%
M3,209,0772015-10-13155,0003,952,5006912,673912,673589%23%
M74,221,0392015-06-21735,00016,537,500123,948,1693,948,169537%24%
M36,115,0992015-08-16500,00010,000,000122,582,4492,582,449516%26%
M21,582,8172015-06-17450,0009,500,000122,042,0412,042,041454%21%
M2,052,1192016-01-31500,00015,000,000122,163,8412,163,841433%14%
M2,723,8792019-04-0915,00030,00063,00163,001420%210%
M74,284,1592015-07-12740,00016,650,000122,380,8492,380,849322%14%
M39,018,2092018-11-07325,0006,581,25012942,841942,841290%14%
M91,241,9112019-05-12700,00013,300,000121,885,1291,885,129269%14%
M1,738,7272015-06-22500,00015,000,000121,142,7611,142,761229%8%
M22,411,8012017-12-09350,0007,000,00012674,041674,041193%10%
M1,168,8472014-12-25300,00010,000,00012571,787571,787191%6%
M3,310,3012019-09-1739,72339,72369,709209,347175%527%
M66,349,4172014-04-27640,00013,600,0006863,041863,041135%6%
M3,234,3772018-07-27400,0004,000,0006512,7172,323,459128%58%
M2,911,4772019-07-0550,000500,00063,00163,001126%13%
M2,821,5132019-11-18100,0001,000,0006124,609124,609125%12%
M3,754,8432019-06-0220,000200,00024,64924,649123%12%
M2,747,6872019-05-1130,000300,00034,483121,571115%41%
M56,389,3792018-06-241,000,00020,000,0006996,103415,656,427100%2,078%
M37,547,5932016-03-09400,00012,000,00012394,73997,371,69799%811%
M78,741,6592016-07-03685,00013,871,25012673,19921,327,07398%154%
M5,255,6872019-06-22125,0002,187,50012122,1675,935,78998%271%
M152,8972016-11-16100,000,0002,000,000,0001297,648,2374,992,293,60998%250%
M86,849,4072018-04-21705,00013,923,75012682,04919,200,52997%138%
M77,910,7572016-06-05660,00013,200,00012636,21118,960,43996%144%
M1,170,3492014-12-26300,00010,000,00012288,18111,133,84196%111%
M90,149,8092019-02-02740,00014,985,00012704,77172,381,28995%483%
M78,193,4292014-09-28735,00015,618,75012698,903102,959,76795%659%
M1,584,1572015-04-1310,000,000200,000,000129,442,72924,265,355,70194%12,133%
M70,237,9692014-10-06685,00014,898,7506645,68318,684,22994%125%
M2,177,3632016-03-16500,00015,000,00012469,68721,146,56194%141%
M1,981,2672015-09-17500,00015,000,00012468,55741,565,53394%277%
M1,670,8192018-06-111,670,819167,081,900121,559,093188,395,57393%113%
M82,711,5532017-01-28685,00013,357,50012635,41314,309,22193%107%
M88,705,0512018-10-07720,00014,220,00012667,30915,075,12193%106%
M91,841,5132019-07-05705,00013,395,00012651,17974,369,76192%555%
M90,860,3812019-03-17695,00013,205,00012640,687194,541,31392%1,473%
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