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 Ratiok (factored)
M663,021,3771253741940896795854823807983.3713727,289,429,170,9398,723,169,891,776.5813 × 727289429170939
M350,166,16329631442105502996319475977.973141,035,148,626,0111,808,804,419,607.133 × 141035148626011
M350,385,72741407854419119695178531178.455118,177,914,305,0531,506,329,017,893.275 × 118177914305053
M350,006,31730960440348816775412331978.03763,183,431,769,761809,683,042,699.837 × 63183431769761
M670,000,103155748121166306621944879980.371135,221,188,879,001438,262,608,752.123 × 11 × 35221188879001
M347,169,569267508424742925868538007181.152333,501,787,352,161412,858,868,316.355 × 23 × 33501787352161
M300,000,52120498071713425913344990377.441326,279,533,480,987339,354,205,632.6513 × 26279533480987
M435,964,95148881761530185297606954378.693118,084,378,268,091229,807,360,584.2231 × 18084378268091
M222,934,7277385660361174172463133775.97413,803,854,272,657181,708,214,403.7722 × 3 × 13803854272657
M419,491,00155845087776285686191247378.8977,924,156,560,479100,451,017,982.3922 × 3 × 7 × 7924156560479
M398,000,06945015526491883627442992178.57167,069,019,894,42389,965,519,410.1024 × 5 × 7069019894423
M228,505,04912706302449638458440739176.7596,178,469,094,97980,501,340,900.1332 × 5 × 6178469094979
M350,282,07720281414996461103122921777.42166,031,274,604,62377,898,782,099.6024 × 3 × 6031274604623
M222,976,5975792128722873978066571375.6285,411,749,484,77771,568,356,690.3623 × 3 × 5411749484777
M223,188,6615881544055019826100178375.64274,880,063,441,05364,518,150,784.9633 × 4880063441053
M222,852,6594826603669679112889531975.35234,708,320,161,08762,483,159,461.2823 × 4708320161087
M222,976,3095760409811122715529405775.6193,588,080,374,09747,455,988,743.1322 × 32 × 3588080374097
M346,916,597411529517216190210568930381.771813,641,034,827,62744,529,245,249.0132 × 181 × 3641034827627
M222,960,6675017039701713556551842375.41172,206,069,097,48329,254,620,189.523 × 17 × 2206069097483
M227,082,67710958548983186724595800976.54131,546,729,803,31720,209,073,635.0622 × 3 × 13 × 1546729803317
M391,723,41136732725431164009202895978.28531,263,774,883,15916,143,997,008.397 × 53 × 1263774883159
M222,874,5376976464465805790723728775.881311,194,740,652,16915,744,112,846.16131 × 1194740652169
M221,983,2414762537109016051764656975.3327993,263,401,90313,184,769,758.6822 × 33 × 993263401903
M501,000,55155777968827293937935111978.8829914,065,260,00111,587,454,720.563 × 7 × 29 × 914065260001
M350,211,39158073942266857739998895178.9449676,838,347,1818,573,842,996.7752 × 72 × 676838347181
M395,818,98131729911706210924102644778.07251532,288,735,2116,818,079,184.013 × 251 × 532288735211
M222,819,3615911718405955330133063975.6527446,657,231,4075,904,572,048.2233 × 11 × 446657231407
M222,840,7034813418636764634575851175.3517423,534,642,9675,620,936,508.313 × 5 × 17 × 423534642967
M213,906,8596844860697744277692624975.8611404,031,031,1415,326,188,638.0222 × 32 × 11 × 404031031141
M350,111,47737946901614611888979491978.33491367,906,305,4794,696,976,350.403 × 491 × 367906305479
M500,000,507451943625609763382143183981.90643334,698,339,1394,086,550,201.803 × 7 × 643 × 334698339139
M391,000,033152920776253803468245951380.34139270,546,275,9693,367,555,960.0422 × 13 × 139 × 270546275969
M218,174,0514543486479481848402307975.27139249,700,892,0173,317,569,277.063 × 139 × 249700892017
M350,282,07720962020140410491972320977.47307243,661,467,3593,145,150,216.1722 × 307 × 243661467359
M210,454,2599055309343141661902975976.26953225,747,357,6772,960,186,974.74953 × 225747357677
M213,197,3595561266542891953566756975.5629187,392,694,0312,480,122,710.3923 × 3 × 29 × 187392694031
M222,931,6495268862989500159291248975.4819172,766,318,7592,288,904,681.0822 × 32 × 19 × 172766318759
M221,988,1216729207639610781726223175.8361165,646,820,5612,184,367,463.943 × 5 × 61 × 165646820561
M402,000,88932561823700704559625671178.11499162,323,411,4612,078,204,448.035 × 499 × 162323411461
M210,451,4597891532574440761034320976.06109143,341,410,2571,884,515,876.9622 × 3 × 109 × 143341410257
M321,797,123183598398036895594998676180.60967147,502,800,2091,829,995,352.8922 × 5 × 967 × 147502800209
M213,747,31111336695884146293236648776.5961131,738,303,4011,720,150,258.293 × 11 × 61 × 131738303401
M231,001,35711812203368582611997026376.6461127,011,373,8911,657,146,539.363 × 11 × 61 × 127011373891
M350,245,68126322661498128953038208977.80739127,122,546,7791,633,952,213.0722 × 739 × 127122546779
M216,117,5114833180170406994769374375.3647113,291,122,4031,503,424,255.443 × 7 × 47 × 113291122403
M211,023,6534931843440544783411703175.387998,612,007,2231,308,119,682.953 × 5 × 79 × 98612007223
M350,250,03731093075913557653153736778.0412199,144,449,8671,270,415,892.85112 × 37 × 99144449867
M361,214,87368714122158188266797584979.1823990,448,174,3931,142,239,417.6822 × 11 × 239 × 90448174393
M303,000,65390033021468132458264500179.5762584,896,584,0991,066,877,750.8922 × 54 × 7 × 84896584099
M887,184,833966116281943817237875192983.0077376,562,829,613922,460,722.2322 × 23 × 773 × 76562829613

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