Mersenne numbers with smoothest P-1 factors:
Top 2,243 factors (top 100 per 10M range) listed here
Exponent Factor ↓Bits min B1 min B2 Ratio k (factored)
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M143,793,0771089891899505147606028095526102474849119.7175,083123,0771,028.1024 × 33 × 929 × 5189 × 8167 × 24113 × 75083 × 123077
M136,999,14714927499619906587058135555634367721113.52218,971648,3775,711.3922 × 38 × 5 × 30259 × 96643 × 218971 × 648377
M324,000,1692107736488354350041793600141033289110.70529,237934,7238,443.8022 × 32 × 53 × 17761 × 194027 × 529237 × 934723
M502,000,0272107472748472812989445447752584121110.70113,7771,099,0819,928.5422 × 5 × 3089 × 12569 × 21617 × 113777 × 1099081
M332,286,169156394415748210686875406280597473106.95207,2931,399,43913,085.3624 × 17 × 45587 × 65423 × 207293 × 1399439
M291,715,11798225640025976412553706760976457106.28561,3475,877,76355,306.6622 × 61 × 6047 × 34583 × 561347 × 5877763
M332,326,24972419576618184201512504753317681105.8468,791116,4471,100.2623 × 3 × 5 × 307 × 7673 × 48119 × 68791 × 116447
M146,040,84746763605829499020357913080104583105.21336,04121,052,219200,106.341327 × 2267 × 7523 × 336041 × 21052219
M577,777,77714208317633332733265225951551519103.49578,4835,385,26952,038.3737357 × 105653 × 578483 × 5385269
M332,332,59711824502017310535973813596981521103.22207,079400,3813,878.8523 × 5 × 53 × 4021 × 25171 × 207079 × 400381
M332,250,1998889604618507813689470278581551102.81198,0832,167,09321,078.6352 × 7 × 4909 × 36277 × 198083 × 2167093
M143,665,2597064116640624236958951093273591102.4841,231245,6532,397.125 × 7 × 19 × 23 × 7243 × 21911 × 41231 × 245653
M332,198,6815414284231543658478199587186241102.10830,8611,320,25112,931.6425 × 32 × 5 × 1949 × 2647 × 830861 × 1320251
M247,000,0071396083613249504874299947134257100.14307,3011,733,26717,308.5723 × 32 × 1559 × 47269 × 307301 × 1733267
M332,352,46779597442781115598505743548460999.3399,223176,0511,772.4125 × 467 × 1733 × 2647 × 99223 × 176051
M333,070,64368686102516261096456512865981799.1218,973409,7694,134.2422 × 23 × 37 × 5521 × 7057 × 18973 × 409769
M71,559,43120637103883446929130075473991397.383,0833,67137.7022 × 33 × 19 × 79 × 311 × 1559 × 1621 × 3083 × 3671
M332,318,08717575151232713034436789412704797.1583,177255,3612,628.54331 × 5623 × 6689 × 83177 × 255361
M332,370,91117553326811842246406550710609797.152,29755,249568.7123 × 35 × 11 × 29 × 101 × 139 × 239 × 2297 × 55249
M113,999,53912940343142373699288795320288796.7138,921242,7892,510.543 × 113 × 6263 × 28289 × 38921 × 242789
M333,003,3717191801146619617341998325884795.86601,763944,8999,857.043 × 11 × 13 × 19 × 23 × 1013 × 601763 × 944899
M48,935,7974195524747775978439097310992195.082,0532,11322.2224 × 3 × 5 × 112 × 17 × 271 × 601 × 1229 × 2053 × 2113
M131,999,7293748606439328304366559332568994.92323,9513,592,77737,850.4422 × 23 × 61 × 21739 × 323951 × 3592777
M332,357,2133254892273569258508411250075994.728,84944,071465.2933 × 31 × 79 × 1277 × 1487 × 8849 × 44071
M159,000,0433252081175397594738858587348194.72536,9474,452,20947,006.2022 × 5 × 37 × 57809 × 536947 × 4452209
M332,320,9872892144072457444572988357897794.552,129582,8216,164.4124 × 31 × 67 × 71 × 89 × 167 × 2129 × 582821
M332,287,6911930552263770194816760127628193.9618,19127,109288.5122 × 5 × 769 × 953 × 4019 × 18191 × 27109
M332,227,9991845235784116484949818349299993.9052,5432,506,98126,699.0413 × 607 × 26717 × 52543 × 2506981
M414,000,1271700040721294327606826059120193.7889,4131,163,65112,408.3724 × 52 × 7 × 11 × 43 × 149 × 89413 × 1163651
M332,297,3471693435060941313376008510375393.77177,383679,1717,242.6422 × 3 × 13 × 17 × 173 × 461 × 177383 × 679171
M335,428,0731288436690841801692997680959993.38433,6073,822,25140,932.393 × 739 × 5227 × 433607 × 3822251
M332,332,8291254673336796750411196380476193.34172,6331,702,74118,242.1022 × 5 × 31 × 103577 × 172633 × 1702741
M396,507,047978456129911848061482926736192.984,1572,015,77121,679.0224 × 5 × 7 × 13 × 257 × 787 × 4157 × 2015771
M111,009,461912677068213923650287011616992.885,05912,713136.8722 × 33 × 7 × 13 × 17 × 787 × 4861 × 5059 × 12713
M332,228,921746485252038474831836221327392.59226,7992,389,66925,808.5422 × 32 × 101 × 5701 × 226799 × 2389669
M332,201,269641312267304477755327685448192.3778,691491,3575,319.2723 × 5 × 13 × 23 × 20873 × 78691 × 491357
M118,013,837473037655437398058803491592991.93100,613108,1611,176.5122 × 10723 × 42937 × 100613 × 108161
M332,196,671346606407076639294764831968991.4910,889456,8114,993.2722 × 11 × 3449 × 6911 × 10889 × 456811
M111,014,413339261354771052947691096672991.4547,303291,1073,183.0822 × 3 × 13 × 432 × 3847 × 47303 × 291107
M105,000,743334801887610586360501808598391.4415,37331,121340.363 × 31 × 43 × 1609 × 5179 × 15373 × 31121
M80,778,769334598042715187377883430887391.432,8013,41337.3322 × 32 × 13 × 1439 × 1511 × 2129 × 2801 × 3413
M30,900,871255790671464941904902342917791.051,3011,60917.6722 × 32 × 43 × 107 × 311 × 463 × 829 × 1301 × 1609
M140,000,767207583246140169401998750220190.7564,55390,397996.1622 × 3 × 52 × 557 × 7603 × 64553 × 90397
M164,800,901185254346845505101982726827990.58103,573311,3713,437.4732 × 7 × 421 × 6571 × 103573 × 311371
M82,309,873159592073377345816752056800990.372,4173,73941.3822 × 32 × 29 × 71 × 179 × 233 × 347 × 2417 × 3739
M333,100,049153945778326469005866779183390.313,821192,0472,126.4322 × 3 × 17 × 97 × 233 × 683 × 3821 × 192047
M143,999,971145695950970059594583991886390.2455,81757,793640.4743 × 1201 × 30367 × 55817 × 57793
M45,913,831130967397149730004870362444190.085936437.1422 × 3 × 5 × 11 × 397 × 499 × 523 × 547 × 593 × 643
M332,203,463127349800094711180718758476790.0418,73166,083733.92113 × 3167 × 4327 × 18731 × 66083

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