Mersenne numbers with smoothest P-1 factors:
Top 1,322 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
M344,067,497862856818564698867487172.873,371262,5973,603.665 × 2833 × 3371 × 262597
M344,064,9472065959169054744491537774.137,63971,479964.2523 × 3 × 29 × 79 × 7639 × 71479
M344,055,533936736977285865034219372.999,46313,709187.8323 × 13 × 1009 × 9463 × 13709
M344,038,48111069577104474672750664776.55257156,4372,043.573 × 72 × 163 × 167 × 257 × 156437
M344,033,9331296796145795478504475373.463,43357,287779.8723 × 32 × 113 × 3433 × 57287
M344,027,7298660660357289797782515859386.168,62774,933869.6725 × 3 × 1301 × 1559 × 8627 × 74933
M344,024,82720475055174857810577655377.4412,04914,639189.0422 × 197 × 2141 × 12049 × 14639
M344,023,1331068886208614113007204773.181,78733,247454.33372 × 191 × 1787 × 33247
M344,018,3271417038437458537813728773.596,379187,0692,542.213 × 11 × 523 × 6379 × 187069
M344,001,87732016985571966080559675378.0816,21736,469467.0523 × 7 × 14051 × 16217 × 36469
M336,561,7272798415752127555865747374.571731,527,28920,482.1025 × 3 × 11 × 149 × 173 × 1527289
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
M333,069,433282045127055867705669328181.227,0574,408,99354,283.1024 × 35 × 5 × 7 × 7057 × 4408993
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
M332,440,9739348860319915976084072776.3112,379161,5312,116.8519 × 3701 × 12379 × 161531
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
M332,342,45311657131021803614867827976.6372,211438,3135,720.193 × 1847 × 72211 × 438313
M332,342,4291003488094318402912117080183.051,373299,2393,602.9823 × 3 × 52 × 7 × 13 × 673 × 1373 × 299239
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
M332,332,8291254673336796750411196380476193.34172,6331,702,74118,242.1022 × 5 × 31 × 103577 × 172633 × 1702741
M332,332,59711824502017310535973813596981521103.22207,079400,3813,878.8523 × 5 × 53 × 4021 × 25171 × 207079 × 400381
M332,331,8632494000763111609780920879135394.33187,95123,021,653244,048.0822 × 3 × 13 × 55589 × 187951 × 23021653
M332,329,21117426830735139074603067224987.1721,2278,716,46999,992.2622 × 33 × 13121 × 21227 × 8716469
M332,326,187626644185608042230832615982.3731,38735,201427.3323 × 563 × 659 × 31387 × 35201
M332,325,77952816516719797383173418378.8111,68189,5131,135.873 × 132 × 1499 × 11681 × 89513
M332,323,8011396740052773951885529020183.531,74714,479173.3422 × 35 × 52 × 179 × 191 × 1747 × 14479
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

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