Mersenne numbers with smoothest P-1 factors:
Top 1,291 factors (top 100 per 10M range) listed here
ExponentFactor Bits min B1 min B2 Ratio k (factored)
M577,777,77714208317633332733265225951551519103.49578,4835,385,26952,038.3737357 × 105653 × 578483 × 5385269
M502,000,0272107472748472812989445447752584121110.70113,7771,099,0819,928.5422 × 5 × 3089 × 12569 × 21617 × 113777 × 1099081
M500,000,489521840337830032466326213782.1136,563933,88311,373.5822 × 13 × 2939 × 36563 × 933883
M453,188,75913275107343873015960532176.811393,77949.2022 × 5 × 23 × 67 × 83 × 109 × 139 × 3779
M410,000,02925994712244765216251400176787.7561912,555,743143,088.0832 × 73 × 73 × 181 × 619 × 12555743
M396,507,047978456129911848061482926736192.984,1572,015,77121,679.0224 × 5 × 7 × 13 × 257 × 787 × 4157 × 2015771
M333,100,049153945778326469005866779183390.313,821192,0472,126.4322 × 3 × 17 × 97 × 233 × 683 × 3821 × 192047
M333,070,64368686102516261096456512865981799.1218,973409,7694,134.2422 × 23 × 37 × 5521 × 7057 × 18973 × 409769
M333,069,8873099911832635334453364003184.6818,04737,861,687447,112.605 × 53 × 257 × 18047 × 37861687
M333,069,433282045127055867705669328181.227,0574,408,99354,283.1024 × 35 × 5 × 7 × 7057 × 4408993
M333,069,2999598429581818151655756103386.3178,36791,878,0711,064,500.1222 × 5003 × 78367 × 91878071
M333,069,16199986975527061557285634379.7310,27121,880,379274,444.416679 × 10271 × 21880379
M333,003,3717191801146619617341998325884795.86601,763944,8999,857.043 × 11 × 13 × 19 × 23 × 1013 × 601763 × 944899
M332,983,0619431374970289422540361776.321,3272,76736.2624 × 33 × 19 × 37 × 127 × 1327 × 2767
M332,983,039320962855349545355653836181.4118,22322,375,117274,849.2822 × 3 × 5 × 197 × 18223 × 22375117
M332,801,509937467595163525212017560152792.9231,03921,915,451235,850.797 × 383 × 7723 × 31039 × 21915451
M332,801,32381827275270627929956849025789.4031,5112,410,94926,967.2923 × 3 × 37 × 18223 × 31511 × 2410949
M332,479,32735762115470118751263823178.2479,49314,869,223190,039.565 × 7 × 13 × 79493 × 14869223
M332,462,6519735126646754007561785419386.33580,9274,792,84755,516.8423 × 3 × 7 × 313 × 580927 × 4792847
M332,459,9273278113593316905598446710384.7663,6717,662,07990,396.2111 × 9187 × 63671 × 7662079
M332,406,10136134537031905944697852427188.22857,4113,425,02138,822.0934 × 5 × 457 × 857411 × 3425021
M332,399,161101636481621493253748460979.753731,167,14314,635.0825 × 3 × 157 × 233 × 373 × 1167143
M332,374,07913287490333326145066984976.81554,699698,3599,091.5122 × 3 × 43 × 554699 × 698359
M332,355,521609058714534887388899259982.33547,021816,6499,918.8732 × 43 × 53 × 547021 × 816649
M332,354,92798864582741022577413057861789.6870,12114,216,963158,537.7222 × 32 × 41443 × 70121 × 14216963
M332,344,763182968571209054178642894380.6050,11114,842,447184,154.333701 × 50111 × 14842447
M332,340,10338943068757827579999467153788.33377,147526,6495,962.1923 × 13 × 113 × 251 × 377147 × 526649
M332,338,703163234197651581742098866380.43581,3117,530,58793,625.343 × 11 × 17 × 581311 × 7530587
M332,332,59711824502017310535973813596981521103.22207,079400,3813,878.8523 × 5 × 53 × 4021 × 25171 × 207079 × 400381
M332,329,21117426830735139074603067224987.1721,2278,716,46999,992.2622 × 33 × 13121 × 21227 × 8716469
M332,325,77952816516719797383173418378.8111,68189,5131,135.873 × 132 × 1499 × 11681 × 89513
M332,321,3871848189401258383183452421783.9328,97990,3131,076.0022 × 149 × 17827 × 28979 × 90313
M332,320,4511138827215142097952062804783.2452,51712,341,237148,268.4626437 × 52517 × 12341237
M332,318,08717575151232713034436789412704797.1583,177255,3612,628.54331 × 5623 × 6689 × 83177 × 255361
M332,317,729337422891573212304977389781.4831,907235,1112,885.4822 × 89 × 1901 × 31907 × 235111
M332,317,693206190984529975031139508180.775,57338,711,347479,277.2622 × 5 × 719 × 5573 × 38711347
M332,317,511254124576920035349281003181.0724,5512,143,23126,436.215 × 14533 × 24551 × 2143231
M332,314,901279834116282231717584941781.2129,5993,798,12146,768.6422 × 3 × 3121 × 29599 × 3798121
M332,311,04313314831012604808497359861786.788,0591,873,01921,582.7522 × 3 × 172 × 43 × 89 × 8059 × 1873019
M332,310,5711199545160359146565994445575393.28933,55334,004,017364,550.8422 × 19 × 7481 × 933553 × 34004017
M332,307,6833804376983190105326495899984.984,44746,273,363544,547.1473 × 811 × 4447 × 46273363
M332,303,42314484021379517058565253456986.90134,9514,346,71750,017.1122 × 293 × 317 × 134951 × 4346717
M332,301,46125733730716487614952307977.771,013,5033,265,34941,988.3332 × 13 × 1013503 × 3265349
M332,300,083155560720335203349880333780.3623,8272,652,44333,005.4622 × 47 × 197 × 23827 × 2652443
M332,299,6211274229153723896781473280783.40101,9577,303,15187,570.0432 × 2861 × 101957 × 7303151
M332,297,3471693435060941313376008510375393.77177,383679,1717,242.6422 × 3 × 13 × 17 × 173 × 461 × 177383 × 679171
M332,291,837143542783990456912762730380.2538,28162,207,269775,190.15907 × 38281 × 62207269
M332,289,641198481801935860512444699380.72210,437294,6413,650.3723 × 33 × 223 × 210437 × 294641
M332,287,03745504432920110537714083967388.5617,4674,336,09148,964.3222 × 3 × 613 × 1229 × 17467 × 4336091
M332,286,169156394415748210686875406280597473106.95207,2931,399,43913,085.3624 × 17 × 45587 × 65423 × 207293 × 1399439

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