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%
M90,501,0172017-10-11740,00014,985,00012255,851243,723,00135%1,626%
M90,302,2432019-01-13740,00014,800,0001279,57921,348,80911%144%
M90,256,2672019-01-14785,00019,036,250434,61327,987,4974%147%
M90,088,9392019-01-01740,00014,985,0001270167,382,3530%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%
M88,729,1692018-11-23765,00018,933,75061134,524,761,2810%23,898%
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%
M87,858,9432018-07-23715,00014,121,25012100,15336,854,68114%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%
M87,776,9212018-06-06715,00014,121,25012611,21347,677,50185%338%
M87,740,7132018-05-20715,00014,121,250129,467113,075,4611%801%
M87,717,5832018-05-18715,00014,121,250122,29348,139,7170%341%
M87,716,9712018-05-17710,00014,022,50012179,63335,253,55325%251%
M87,566,8492018-06-02710,00014,022,50012268,29718,408,61338%131%
M87,496,6972018-05-07715,00014,121,25012180,81184,585,85725%599%
M87,495,0612018-05-07715,00014,121,250125,15338,744,1491%274%
M87,438,1632018-05-03715,00014,121,2501210,09154,765,2891%388%
M87,422,9032018-05-13715,00014,121,2501252914,252,4010%101%
M87,396,5392018-05-13715,00014,121,2501239,16121,510,4935%152%
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