Mersenne numbers with smoothest P-1 factors:
Top 2,509 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
M731,000,08966210355415659597789235459949781217115.672,075,19749,780,219430,354.4124 × 33623 × 814903 × 2075197 × 49780219
M402,637,12730715760562562142163990594934080751114.56416,989133,896,2471,168,740.8132 × 53 × 72 × 17 × 89 × 8191 × 416989 × 133896247
M229,000,20126157228287596029215232700647068671114.331,125,20358,484,957511,532.783 × 5 × 73 × 163 × 229 × 4519 × 1125203 × 58484957
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
M291,715,11798225640025976412553706760976457106.28561,3475,877,76355,306.6622 × 61 × 6047 × 34583 × 561347 × 5877763
M347,169,74977521814562705745791436788596137105.9350,6711,472,27913,898.0322 × 3 × 11 × 17 × 103 × 883 × 7333 × 50671 × 1472279
M332,326,24972419576618184201512504753317681105.8468,791116,4471,100.2623 × 3 × 5 × 307 × 7673 × 48119 × 68791 × 116447
M402,637,06939688598776260898938771459785191104.97620,26156,961,991542,657.973 × 5 × 101 × 223 × 4129 × 620261 × 56961991
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
M601,246,4216097528069126908900690382627129102.27820,60962,098,489607,224.7722 × 3 × 47 × 176431 × 820609 × 62098489
M229,001,4132784873119783279473228014408671101.14349,92724,630,869243,543.375 × 4261 × 33113 × 349927 × 24630869
M247,000,0071396083613249504874299947134257100.14307,3011,733,26717,308.5723 × 32 × 1559 × 47269 × 307301 × 1733267
M332,277,08396005969954198923916491100208199.60143,827166,8491,675.2124 × 33 × 5 × 1487 × 18743 × 143827 × 166849
M332,352,46779597442781115598505743548460999.3399,223176,0511,772.4125 × 467 × 1733 × 2647 × 99223 × 176051
M335,429,23172136561717475448330683293080199.1999,317190,5291,920.9123 × 3 × 52 × 149 × 563 × 1129 × 99317 × 190529
M333,070,64368686102516261096456512865981799.1218,973409,7694,134.2422 × 23 × 37 × 5521 × 7057 × 18973 × 409769
M12,107,65139508961267897768112270032350398.321,1171,18712.073 × 13 × 71 × 97 × 103 × 577 × 761 × 1013 × 1117 × 1187
M640,402,45725224408083194361139909969108797.67224,6994,574,42946,835.213 × 13 × 59 × 83269 × 224699 × 4574429
M71,559,43120637103883446929130075473991397.383,0833,67137.7022 × 33 × 19 × 79 × 311 × 1559 × 1621 × 3083 × 3671
M487,001,66319391769989354962825255038520997.2945,751100,9311,037.4122 × 32 × 134 × 19 × 2207 × 45751 × 100931
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
M230,086,24315591483769866333673932422599396.98321,547417,5414,305.5822 × 3 × 31 × 37 × 183349 × 321547 × 417541
M232,703,71113613502224102896887448699704196.78347,9515,048,40152,163.1723 × 3 × 5 × 11 × 126151 × 347951 × 5048401
M154,999,1219296149999985643024969315043996.23151,729494,5395,139.103 × 19 × 61 × 157 × 7321 × 151729 × 494539
M490,000,0037042681756227296402271287352795.831,126,51345,898,729478,959.363 × 463291 × 1126513 × 45898729
M343,628,3215395504816725246479708580223195.451,963,037366,555,7193,840,461.625 × 21821 × 1963037 × 366555719
M110,628,5234384492788433695519156781645795.152,6333,36135.3222 × 7 × 227 × 709 × 2039 × 2437 × 2633 × 3361
M48,935,7974195524747775978439097310992195.082,0532,11322.2224 × 3 × 5 × 112 × 17 × 271 × 601 × 1229 × 2053 × 2113
M332,357,2133254892273569258508411250075994.728,84944,071465.2933 × 31 × 79 × 1277 × 1487 × 8849 × 44071
M332,320,9872892144072457444572988357897794.552,129582,8216,164.4124 × 31 × 67 × 71 × 89 × 167 × 2129 × 582821
M359,400,1932534429779446472656912435924794.36246,7874,560,49748,333.063 × 13 × 503 × 1597 × 246787 × 4560497
M332,287,6911930552263770194816760127628193.9618,19127,109288.5122 × 5 × 769 × 953 × 4019 × 18191 × 27109
M515,000,0331807954435175800127155731604193.87306,853848,7799,042.2322 × 5 × 31 × 71 × 1531 × 306853 × 848779
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
M113,329,6131677077788276470323904399009793.762,0113,72739.7523 × 3 × 17 × 97 × 521 × 683 × 701 × 2011 × 3727
M396,507,047978456129911848061482926736192.984,1572,015,77121,679.0224 × 5 × 7 × 13 × 257 × 787 × 4157 × 2015771
M332,201,269641312267304477755327685448192.3778,691491,3575,319.2723 × 5 × 13 × 23 × 20873 × 78691 × 491357
M332,196,671346606407076639294764831968991.4910,889456,8114,993.2722 × 11 × 3449 × 6911 × 10889 × 456811
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
M160,312,403238850223516901991262710496190.9515,58131,799349.6425 × 3 × 5 × 109 × 193 × 1489 × 15581 × 31799
M334,005,169215888690806348555099999531190.804,21951,047562.185 × 7 × 13 × 31 × 293 × 3631 × 4219 × 51047
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
M209,025,227150362069484078826211214370390.2824,049469,1695,196.793 × 23 × 929 × 4973 × 24049 × 469169

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