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%
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%
M111,077,7612020-05-26890,00017,577,500633783,987,6470%478%
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%
M107,999,5032017-01-031,130,00033,617,500631343,077,6070%128%
M106,952,8612020-03-08845,00016,900,000122,1299,349,632,8690%55,323%
M106,752,4192020-01-191,010,00024,492,5001212,689116,038,7891%474%
M105,839,4712020-07-19840,00016,800,00012776,22133,411,11392%199%
M104,950,4572020-05-10830,00016,392,50012100,51934,120,03312%208%
M104,915,6212020-06-291,750,00034,000,00012178,639259,914,49310%764%
M103,960,4332020-04-07820,00016,400,0001219,91320,903,8812%127%
M103,909,8292020-05-07820,00015,990,00012463,033161,214,22356%1,008%
M103,880,5032020-07-07820,00015,990,0001227,43716,975,5613%106%
M102,370,5712020-01-141,055,00028,221,25067,58932,758,8611%116%
M102,003,6832020-06-22805,00015,898,75012100,54739,874,57912%251%
M101,922,5812020-05-16805,00015,898,7501245,33719,212,1216%121%
M101,914,2172020-06-08805,00015,898,75012238,723209,199,64330%1,316%
M100,999,1892015-11-081,115,00033,450,000619,47718,660,890,9592%55,787%
M100,918,9072020-03-30785,00015,503,75012546,01717,792,32970%115%
M99,815,6332020-07-26725,00013,593,75012911118,259,4130%870%
M99,749,3032020-07-22775,00015,112,5006551,65942,257,98971%280%
M99,744,6412020-07-22775,00015,112,5006685,63117,324,68988%115%
M99,656,2792020-07-17775,00015,306,250122,89716,378,7170%107%
M99,655,9492020-07-19775,00015,306,250122,55151,628,7770%337%
M99,622,2312020-07-09775,00015,306,250128,069195,617,1971%1,278%
M99,370,4172020-06-29775,00015,112,500613,627673,716,1512%4,458%
M99,314,4712019-10-28980,00024,745,000679,49332,266,2918%130%
M99,277,6632019-10-27980,00024,745,000618,691286,106,8332%1,156%
M99,201,2832019-10-27980,00024,745,00063,64324,792,6610%100%
M99,173,4532019-10-26985,00024,625,0006183,26330,522,262,84319%123,948%
M99,144,1732019-10-26985,00024,625,0006187,12958,337,26319%237%
M99,025,8412019-10-21985,00024,378,7506769171,710,0170%704%
M98,841,9912019-10-17985,00024,378,75066,247140,125,8011%575%
M98,809,7692019-10-16985,00024,378,75065,021416,596,0691%1,709%
M98,793,1332019-10-16985,00024,378,7506286,54727,355,56129%112%
M98,728,7572019-10-15985,00024,378,750692,95159,257,2439%243%
M98,620,9992019-10-13970,00024,250,000636,943130,529,7194%538%
M98,531,5272019-10-27985,00024,625,00012103,963273,086,68911%1,109%
M98,525,5792019-10-12970,00024,250,000665327,670,5490%114%
M98,516,2032019-10-12970,00024,250,000689276,511,9030%1,140%
M98,318,7132019-10-09965,00024,125,0006278,017315,595,92729%1,308%
M98,287,8412019-10-09965,00024,125,00064,441150,196,6630%623%
M98,262,1272020-05-26715,00013,406,2501284,97922,793,22712%170%
M98,193,8412019-10-08965,00024,125,000639,10341,959,6694%174%
M98,132,9332019-10-07965,00024,125,000619,70934,894,1292%145%
M98,058,2112019-10-06965,00024,125,000648,34160,100,8375%249%
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