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
Exponent Date B1 B2 e B1 B2 B1 B2
M38,635,9692014-12-10435,00010,331,2501276953,690,441,6570%519,690%
M1,391,9272016-06-173,322,8936,645,78661074,355,157,1270%65,533%
M100,999,1892015-11-081,115,00033,450,000619,47718,660,890,9592%55,787%
M2,010,0372016-01-20500,00015,000,0001215,3915,319,691,4713%35,465%
M88,729,1692018-11-23765,00018,933,75061134,524,761,2810%23,898%
M58,814,2792017-10-17980,23719,604,75912163,8114,163,579,47717%21,238%
M83,952,2512017-04-09670,00013,232,5001233,4872,501,891,4615%18,907%
M840,2692014-09-21300,00010,000,0001263,4091,869,284,53921%18,693%
M79,531,0092016-12-26670,00013,232,50062,9092,075,285,6230%15,683%
M12,651,8572015-03-21300,0006,000,00012307928,709,1070%15,478%
M1,653,2512015-04-16500,00015,000,000121212,294,652,3410%15,298%
M75,579,3412015-04-14700,00014,525,000613,4111,992,942,7332%13,721%
M76,642,5472016-04-03665,00013,300,00012233,3291,623,520,93935%12,207%
M1,584,1572015-04-1310,000,000200,000,000129,442,72924,265,355,70194%12,133%
M82,651,7872016-11-27705,00014,452,500129531,751,276,3330%12,117%
M84,593,2212017-11-19675,00013,331,250122,7191,435,644,2830%10,769%
M1,951,4932018-01-201,951,49330,000,00012710,6272,915,830,78936%9,719%
M112,721,3172013-11-231,215,00039,183,75063,8513,487,581,4210%8,901%
M436,7392016-11-145,000,00040,000,00012227,2673,370,298,3415%8,426%
M75,030,5592015-08-09655,00013,100,0001255,9971,071,618,7399%8,180%
M2,483,9112018-10-182,000,00060,000,000126254,598,941,2610%7,665%
M1,890,8092015-08-20500,00015,000,00012355,3791,095,918,64171%7,306%
M64,948,2912013-12-13675,00017,043,75021,176,695,8091,176,695,809174,325%6,904%
M2,080,4332016-01-09500,00015,000,0001285,447928,833,58917%6,192%
M2,052,9772016-02-02500,00015,000,00012151868,295,6770%5,789%
M1,994,8972015-10-06500,00015,000,0001227806,494,5610%5,377%
M87,108,6912018-06-06710,00014,022,50012197735,392,7410%5,244%
M79,446,9072016-12-02670,00013,567,5001222,159703,956,0373%5,189%
M81,971,8212016-09-16700,00014,175,000636,931724,983,9975%5,115%
M7,080,2592018-06-19415,00012,553,750125,659635,825,9891%5,065%
M2,348,5812018-03-16500,00015,000,00012391,057701,846,46178%4,679%
M4,016,5492015-01-03225,0004,556,250695,911210,835,08143%4,627%
M6,972,0612019-02-2110,000,000250,000,000121,09111,287,420,0090%4,515%
M74,396,3592015-08-16740,00016,465,00012132,361737,004,04918%4,476%
M1,038,8812014-12-14300,00010,000,000128413,505,0730%4,135%
M1,939,3312018-02-088,000,000320,000,0001290713,115,450,8090%4,099%
M85,900,9792018-02-11695,00013,726,250123,371559,735,0510%4,078%
M3,051,1012016-03-16205,0005,688,7501211,087227,022,0495%3,991%
M7,204,6992016-07-04180,0004,095,00061,907162,537,1271%3,969%
M1,232,0032014-12-31300,00010,000,0001238,653366,587,56113%3,666%
M12,406,2132015-07-25300,0006,000,00012673216,368,8810%3,606%
M1,778,7472015-06-15500,00015,000,00012158,359534,721,65132%3,565%
M2,239,2192015-12-021,000,0006,000,0006389,297206,457,67939%3,441%
M9,504,5592018-10-13545,00017,031,2501246,133555,111,4938%3,259%
M73,692,7632015-10-25635,00012,858,7501232,003408,232,4935%3,175%
M39,174,1932014-12-17445,00010,568,7501277,239334,706,40117%3,167%
M5,938,9572014-11-16360,0008,910,000124,877271,153,3691%3,043%
M437,5192014-11-193,000,000100,000,00012162,992,131,0730%2,992%
M76,439,0232016-03-13665,00013,300,00012508,867393,830,71377%2,961%
M551,1132014-11-051,500,00050,000,0001227,6731,447,152,9772%2,894%
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