Mersenne numbers with smoothest P-1 factors:
Top 2,242 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
M500,000,507451943625609763382143183981.90643334,698,339,1394,086,550,201.803 × 7 × 643 × 334698339139
M500,000,489521840337830032466326213782.1136,563933,88311,373.5822 × 13 × 2939 × 36563 × 933883
M414,000,1271700040721294327606826059120193.7889,4131,163,65112,408.3724 × 52 × 7 × 11 × 43 × 149 × 89413 × 1163651
M410,000,02925994712244765216251400176787.7561912,555,743143,088.0832 × 73 × 73 × 181 × 619 × 12555743
M407,363,239246008340615974546326564781.03508,10310,407,589128,449.14571 × 508103 × 10407589
M405,000,13988080231013648057858759979.54808,3693,135,64139,420.623 × 11 × 13 × 808369 × 3135641
M401,000,071329679950340192200412673781.4516,001198,9372,442.5223 × 337 × 479 × 16001 × 198937
M400,001,08336808341675049420307738378.281,039866,599,91311,069,895.747 × 73 × 1039 × 866599913
M398,000,06945015526491883627442992178.57167,069,019,894,42389,965,519,410.1024 × 5 × 7069019894423
M396,507,047978456129911848061482926736192.984,1572,015,77121,679.0224 × 5 × 7 × 13 × 257 × 787 × 4157 × 2015771
M391,723,41136732725431164009202895978.28531,263,774,883,15916,143,997,008.397 × 53 × 1263774883159
M391,000,033152920776253803468245951380.34139270,546,275,9693,367,555,960.0422 × 13 × 139 × 270546275969
M377,000,051151460795512115110751853780.3329363,480,078,197790,288,271.0222 × 33 × 293 × 63480078197
M371,000,03933939782517663123314599378.171,19331,950,923,429408,750,383.1222 × 3 × 1193 × 31950923429
M365,070,48734286215859738368214491178.181,0138,428,313,851107,803,798.325 × 11 × 1013 × 8428313851
M353,000,04767184310258183473211755379.151,249172,845,8992,183,708.2023 × 19 × 29 × 1249 × 172845899
M350,410,64947505776257832787432505778.651,585,72313,358,627169,843.7525 × 1585723 × 13358627
M350,385,72741407854419119695178531178.455118,177,914,305,0531,506,329,017,893.275 × 118177914305053
M350,372,08317701360781396294967912177.233,20324,341,381315,187.7023 × 34 × 5 × 3203 × 24341381
M350,367,62920584407906360960682576177.4524,2233,225,28941,645.7024 × 5 × 47 × 24223 × 3225289
M350,362,88953793974286741719201612978.83347124,345,8491,577,356.6527 × 139 × 347 × 124345849
M350,295,97155543751546471293976711378.883,00166,045,629,659837,314,005.2222 × 3001 × 66045629659
M350,282,07720281414996461103122921777.42166,031,274,604,62377,898,782,099.6024 × 3 × 6031274604623
M350,282,07720962020140410491972320977.47307243,661,467,3593,145,150,216.1722 × 307 × 243661467359
M350,250,03731093075913557653153736778.0412199,144,449,8671,270,415,892.85112 × 37 × 99144449867
M350,245,68126322661498128953038208977.80739127,122,546,7791,633,952,213.0722 × 739 × 127122546779
M350,211,39158073942266857739998895178.9449676,838,347,1818,573,842,996.7752 × 72 × 676838347181
M350,166,16329631442105502996319475977.973141,035,148,626,0111,808,804,419,607.133 × 141035148626011
M350,135,37741004188147101782105800978.443,63140,315,865,573513,969,979.6622 × 3631 × 40315865573
M350,121,28723146646228794197768763177.62102,40749,658,839639,808.595 × 13 × 102407 × 49658839
M350,111,47737946901614611888979491978.33491367,906,305,4794,696,976,350.403 × 491 × 367906305479
M350,009,17123097033291141651442370377.6114,32323,036,303,347296,813,474.6814323 × 23036303347
M350,006,31730960440348816775412331978.03763,183,431,769,761809,683,042,699.837 × 63183431769761
M350,005,57757865852549062027071808178.9457714,775,731187,183.7026 × 3 × 5 × 101 × 577 × 14775731
M350,003,56918810743538496477556968977.326,9593,217,921,24741,620,431.5022 × 3 × 6959 × 3217921247
M350,002,48946144743768121349271034378.616911,69721.593 × 31 × 97 × 101 × 617 × 691 × 1697
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M344,093,8994948541237991228308783695185.363,2174,44152.0352 × 7 × 73 × 487 × 809 × 3217 × 4441
M344,083,79921419946688936212861335377.504,63718,397237.3722 × 269 × 3391 × 4637 × 18397
M344,066,419637838687689276177346772782.401,1292,449,90729,732.0733 × 72 × 17 × 149 × 1129 × 2449907
M344,062,60331126044763456808971475378.041,6279,319119.4125 × 617 × 1511 × 1627 × 9319
M344,062,60328054798808935162460376177.896,2778,699111.6823 × 3 × 5 × 43 × 1447 × 6277 × 8699
M344,052,479235848438373806946962719380.968,039140,0571,729.8622 × 7 × 23 × 29 × 163 × 8039 × 140057
M344,044,069587158607695598951793895382.2810,86737,561456.5022 × 3 × 233 × 7477 × 10867 × 37561
M344,027,93947737782451862161462150378.6615,013225,2232,863.2732 × 7 × 3257 × 15013 × 225223
M344,027,7298660660357289797782515859386.168,62774,933869.6725 × 3 × 1301 × 1559 × 8627 × 74933
M344,024,82720475055174857810577655377.4412,04914,639189.0422 × 197 × 2141 × 12049 × 14639
M344,019,1013404375454696306605165570384.827,30710,303121.4871 × 2243 × 4127 × 7307 × 10303

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