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 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%
M114,874,8132021-10-31811,00024,079,00012393,931106,888,78349%444%
M114,808,2192021-11-03810,00024,065,0001277,93338,005,44110%158%
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%
M112,252,2892021-10-214,500,0004,500,0009,55129,528,4190%656%
M111,859,6072021-10-024,500,0004,500,00038,261126,407,6291%2,809%
M111,602,8392021-09-05780,00022,852,0001217,29391,607,0112%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%
M110,953,6432020-05-31890,00017,577,50069971,120,927,8970%6,377%
M110,679,8512021-11-14765,00022,717,0001229,36325,361,3114%112%
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%
M109,103,6932021-08-225,500,0005,500,000413,82737,132,3578%675%
M109,059,0792021-07-11794,00024,485,00012148,81774,734,41719%305%
M108,977,7972021-03-12761,00022,314,0001244952,123,6630%234%
M108,566,2312021-05-175,500,0005,500,000535,16921,195,31310%385%
M108,547,9912021-02-243,500,0003,500,000702,017100,370,09920%2,868%
M108,520,7292021-08-085,500,0005,500,0001,848,997144,079,39134%2,620%
M108,512,8932021-04-095,500,0005,500,00013,90712,491,7890%227%
M108,418,6792021-03-085,500,0005,500,00018,181155,045,9270%2,819%
M108,386,3472021-05-295,500,0005,500,000183,04715,211,2893%277%
M108,268,0672021-02-235,500,0005,500,000294,31338,955,9415%708%
M108,254,8932021-02-045,500,0005,500,000777,46348,061,00914%874%
M108,224,8072021-02-035,500,0005,500,000310,66326,455,4116%481%
M108,204,6112021-02-245,500,0005,500,00010,43312,780,9490%232%
M108,055,0272021-01-125,500,0005,500,000216,10316,839,6314%306%
M108,026,4072021-01-265,500,0005,500,0008,713113,721,7090%2,068%
M107,999,5032017-01-031,130,00033,617,500631343,077,6070%128%
M107,744,0172021-03-055,500,0005,500,000640,303124,106,35712%2,256%
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