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
ExponentDate B1 B2 e B1 B2 B1 B2
M333,043,2192017-01-083,165,000104,445,000127,5291,075,437,3790%1,030%
M139,788,6792016-11-1611,000110,0001,408,9691,408,96912,809%1,281%
M123,000,8932018-01-121,280,00037,120,000617,49772,379,1711%195%
M112,721,3172013-11-231,215,00039,183,75063,8513,487,581,4210%8,901%
M111,006,9532018-08-261,270,00048,895,000125,261247,664,0170%507%
M107,999,5032017-01-031,130,00033,617,500631343,077,6070%128%
M100,999,1892015-11-081,115,00033,450,000619,47718,660,890,9592%55,787%
M92,018,6812018-03-071,000,00025,000,000646,867676,622,3835%2,706%
M91,069,2672018-08-13910,00026,162,500129,23958,333,9691%223%
M91,028,7132018-07-19910,00026,162,50012678,463104,807,80975%401%
M91,025,2272018-07-16910,00026,162,5001216,33935,457,4932%136%
M91,016,4072018-07-08910,00026,162,50012125,52731,521,99114%120%
M91,016,3712018-07-08910,00026,162,5001281,55326,653,6099%102%
M91,002,6232018-06-18910,00026,162,50012256106,629,5830%408%
M90,924,4012019-03-21700,00013,300,0001297115,545,1490%117%
M90,860,3812019-03-17695,00013,205,00012640,687194,541,31392%1,473%
M90,559,5432019-01-28740,00014,985,0001275,51139,367,30110%263%
M90,501,0172017-10-11740,00014,985,00012255,851243,723,00135%1,626%
M90,340,5312019-01-19740,00014,985,000126,63741,547,9371%277%
M90,302,2432019-01-13740,00014,800,0001279,57921,348,80911%144%
M90,256,2672019-01-14785,00019,036,250434,61327,987,4974%147%
M90,214,2832019-02-02740,00014,985,0001255,34331,872,4977%213%
M90,185,6592019-02-11690,00012,937,500662514,222,3470%110%
M90,088,9392019-01-01740,00014,985,0001270167,382,3530%450%
M90,086,5972019-01-04740,00014,985,00012145,709,041145,709,04119,690%972%
M90,054,8832018-12-24730,00014,600,00012229,76350,488,57331%346%
M90,017,1072018-12-25740,00014,985,00012363,27718,674,91149%125%
M89,963,6832019-01-02785,00019,036,250420,731154,618,6573%812%
M89,794,2192018-12-05725,00014,137,5006398,77150,471,08955%357%
M89,708,1492018-12-06730,00014,782,50012105,32388,797,22314%601%
M89,407,8072018-11-05725,00014,318,750127,25324,385,2791%170%
M89,396,6332018-11-19725,00014,318,7501261,05725,887,6438%181%
M89,384,0692018-11-05725,00014,137,50061,72316,188,3130%115%
M89,378,7012018-11-15725,00014,318,75012269,16716,786,24337%117%
M89,251,0512018-10-24725,00014,318,75063,61792,135,1190%643%
M89,113,1212018-11-04725,00014,318,75012433119,249,9830%833%
M88,762,3432018-12-01770,00019,057,5001218,48129,159,4012%153%
M88,729,1692018-11-23765,00018,933,75061134,524,761,2810%23,898%
M88,705,0512018-10-07720,00014,220,00012667,30915,075,12193%106%
M88,366,3732018-09-13725,00014,318,7501233,34923,813,2975%166%
M88,268,3872018-10-08725,00014,318,75012432,43376,078,42360%531%
M88,264,2172018-10-08725,00014,137,5001241,38151,542,1376%365%
M88,095,4432018-07-14725,00014,137,5001211,67732,886,4572%233%
M88,054,3992018-07-11735,00014,516,250124,517224,991,8471%1,550%
M87,939,8812018-07-01735,00014,516,2501254,19337,104,6377%256%
M87,908,0212018-07-23715,00014,121,25012419,68791,056,31359%645%
M87,858,9432018-07-23715,00014,121,25012100,15336,854,68114%261%
M87,841,9692018-06-05715,00014,121,2501258,88914,568,9798%103%
M87,835,7772018-05-27715,00014,121,250121,84723,135,0230%164%
M87,828,5412018-05-26715,00014,121,250129,541,9219,541,9211,335%68%
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