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
ExponentDate B1 B2 e B1 B2 B1 B2
M344,027,9392019-04-1318,676224,11215,013225,22380%100%
M333,043,2192017-01-083,165,000104,445,000127,5291,075,437,3790%1,030%
M333,015,8332021-02-182,521,00094,665,000125,801139,750,8610%148%
M168,230,7232021-01-2311,000,00011,000,00074,71964,596,4011%587%
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%
M115,390,0732022-05-13508,00013,722,0001283,43154,220,34916%395%
M114,877,7692021-12-05811,00024,079,00012336,14368,715,37941%285%
M114,874,8132021-10-31811,00024,079,00012393,931106,888,78349%444%
M114,808,2192021-11-03810,00024,065,0001277,93338,005,44110%158%
M113,731,4872022-03-194,000,0004,000,00023,02115,190,6571%380%
M113,728,1172022-01-084,000,0004,000,0001,80160,491,1830%1,512%
M113,535,4272021-12-314,000,0004,000,00039,61944,410,8011%1,110%
M113,484,5772021-12-204,000,0004,000,0002,357,32124,055,24759%601%
M113,348,4292022-01-074,000,0004,000,00083949,472,2010%1,237%
M112,865,9932021-11-234,500,0004,500,00017,49198,720,8130%2,194%
M112,797,1312021-11-264,500,0004,500,0001,011,71957,048,83922%1,268%
M112,721,3172013-11-231,215,00039,183,75063,8513,487,581,4210%8,901%
M112,508,3032021-10-304,500,0004,500,0005,52154,649,4290%1,214%
M112,508,2812021-10-304,500,0004,500,0004,72910,289,5630%229%
M112,319,1972022-04-23488,00012,616,000657147,411,2810%376%
M112,252,2892021-10-214,500,0004,500,0009,55129,528,4190%656%
M111,859,6072021-10-024,500,0004,500,00038,261126,407,6291%2,809%
M111,800,7072022-03-264,500,0004,500,000274,33329,394,5236%653%
M111,602,8392021-09-05780,00022,852,0001217,29391,607,0112%401%
M111,470,9992021-09-044,500,0004,500,000248,021132,614,1716%2,947%
M111,470,9512021-09-044,500,0004,500,000390,87719,425,1439%432%
M111,409,3932021-09-105,500,0005,500,000391,01914,044,3197%255%
M111,347,5032021-08-275,500,0005,500,0009,923101,374,7510%1,843%
M111,346,8532021-08-215,500,0005,500,000256,18146,285,5835%842%
M111,120,5872021-08-075,500,0005,500,000152,50147,650,9913%866%
M111,120,5772021-08-075,500,0005,500,0003,54714,329,6330%261%
M111,077,7612020-05-26890,00017,577,500633783,987,6470%478%
M111,041,3832020-08-25935,00019,868,750127,43324,807,3891%125%
M111,006,9532018-08-261,270,00048,895,000125,261247,664,0170%507%
M110,961,9792022-04-124,500,0004,500,00017,51932,208,7910%716%
M110,953,6432020-05-31890,00017,577,50069971,120,927,8970%6,377%
M110,749,1292022-03-13522,00019,677,0001,026,1691,026,169197%5%
M110,679,8512021-11-14765,00022,717,0001229,36325,361,3114%112%
M110,481,2692022-03-044,500,0004,500,0002,772,12792,211,56962%2,049%
M110,459,9032022-03-14764,00022,672,0001213,87729,712,7632%131%
M110,281,3572021-12-135,500,0005,500,0001,545,16935,672,43128%649%
M110,278,6572021-12-245,500,0005,500,000378,27762,221,3997%1,131%
M110,013,3912021-04-23801,00024,699,000122,571,3532,571,353321%10%
M109,550,1672021-07-205,500,0005,500,0003,821,0999,564,09169%174%
M109,459,6212021-07-105,500,0005,500,0001,680,253134,995,54731%2,454%
M109,442,1312021-06-275,500,0005,500,000150,2037,632,2533%139%
M109,442,1172021-06-275,500,0005,500,00066,71368,527,2291%1,246%
M109,234,8372022-03-11759,00021,378,000413,93327,827,4732%130%
M109,103,6932021-08-225,500,0005,500,000413,82737,132,3578%675%
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