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)
M180,202,21920047531654093416614116777.4119,142,32729,058,691375,397.6019142327 × 29058691
M170,161,9877347577361758786560784775.965,501,3995,606,35373,806.957 × 5501399 × 5606353
M176,119,2676618332599983854110727975.814,472,2336,001,90779,171.557 × 4472233 × 6001907
M132,892,6071427780963676770872499973.604,122,94113,029,377177,038.744122941 × 13029377
M196,013,0217420090814360734029552775.973,330,42718,944,063249,349.773 × 3330427 × 18944063
M143,769,8773053002766953430959202374.693,281,69332,354,251433,165.143281693 × 32354251
M148,238,2871606160823632499747024773.772,777,5976,501,41988,135.673 × 2777597 × 6501419
M187,808,25110120323923122639216596776.422,610,58934,402,499450,167.213 × 2610589 × 34402499
M138,521,8433044045120192694937567174.692,239,8479,811,027131,359.435 × 2239847 × 9811027
M332,261,983190794986485809882889819980.662,192,0092,262,22328,047.003 × 193 × 2192009 × 2262223
M140,475,9611377235928613562133964773.542,106,4317,757,251105,477.413 × 2106431 × 7757251
M153,729,1871717306965187366312024973.861,977,2332,354,08731,871.1822 × 3 × 1977233 × 2354087
M189,475,8436330193549393945423252175.741,962,0114,256,98156,201.7322 × 5 × 1962011 × 4256981
M187,349,83710235042268398463339115376.441,857,2572,042,68726,723.5023 × 32 × 1857257 × 2042687
M188,476,8914837614627203167862464775.361,790,67171,668,343951,054.511790671 × 71668343
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M350,410,64947505776257832787432505778.651,585,72313,358,627169,843.7525 × 1585723 × 13358627
M175,734,4517155641085344313567710375.921,539,869132,214,1291,741,458.361539869 × 132214129
M139,788,67923566820670448021263052977.641,408,9691,408,96918,147.2029 × 32 × 112 × 29 × 37 × 11872
M198,688,5915284812974541459633554375.481,408,62194,413,1611,250,766.031408621 × 94413161
M193,301,96314997964669674358581228176.991,350,0174,789,33962,208.0022 × 3 × 5 × 1350017 × 4789339
M173,493,1932806102921580292288352774.571,333,91960,626,389813,002.381333919 × 60626389
M190,948,5473602337467819336500786374.931,333,8312,619,22934,955.0533 × 1333831 × 2619229
M194,326,96913772011797720947065156176.871,306,00113,566,281176,492.4122 × 5 × 1306001 × 13566281
M155,894,3715191537393389462192292775.461,270,8171,701,61722,550.347 × 11 × 1270817 × 1701617
M140,000,65953173294113217326838292630388.781,226,2992,755,22331,033.98379 × 1483 × 1226299 × 2755223
M130,000,9937878706663736229852212889786.031,198,8618,895,011103,398.9128 × 3 × 37 × 1198861 × 8895011
M195,514,27914447222395447682784744776.941,155,943106,541,3531,384,820.453 × 1155943 × 106541353
M139,042,5731689208922618882849827973.841,117,9936,037,03981,759.7532 × 1117993 × 6037039
M133,331,33316165988115812144730448177.101,113,8996,803,05988,239.9024 × 5 × 1113899 × 6803059
M143,502,6071844873569755700756850373.971,105,7578,304,607112,276.107 × 1105757 × 8304607
M332,301,46125733730716487614952307977.771,013,5033,265,34941,988.3332 × 13 × 1013503 × 3265349
M143,052,00148500467982378099972795378.68975,4214,098,86952,093.8823 × 53 × 975421 × 4098869
M222,889,2916263712423402036631138375.73967,3612,848,09137,608.773 × 17 × 967361 × 2848091
M145,418,0032680919984800608108836974.51909,02312,675,667170,131.4323 × 909023 × 12675667
M131,598,0912905309046735659336240774.62902,96311,113,481148,932.1311 × 902963 × 11113481
M197,417,48310925700731543837505446376.53902,2615,786,62975,610.5153 × 902261 × 5786629
M335,427,941443092660693522313721664781.87860,2671,467,17317,919.915233 × 860267 × 1467173
M332,406,10136134537031905944697852427188.22857,4113,425,02138,822.0934 × 5 × 457 × 857411 × 3425021
M198,632,50936225465562188466237568978.26831,287274,234,8673,504,090.6622 × 831287 × 274234867
M332,198,6815414284231543658478199587186241102.10830,8611,320,25112,931.6425 × 32 × 5 × 1949 × 2647 × 830861 × 1320251
M405,000,13988080231013648057858759979.54808,3693,135,64139,420.623 × 11 × 13 × 808369 × 3135641
M170,110,5414279492214976642394312975.18758,8514,604,38961,244.9822 × 32 × 758851 × 4604389
M174,678,2332929731508101991471404174.63755,3571,850,35724,792.6822 × 3 × 5 × 755357 × 1850357
M155,897,9471860496044201224683116173.98686,8791,447,86119,571.4822 × 3 × 5 × 686879 × 1447861
M172,155,1732656887212659756748604774.49666,19138,610,287518,313.463 × 666191 × 38610287
M136,394,1131534875263299728781768173.70641,8812,191,45729,734.6123 × 5 × 641881 × 2191457
M333,003,3717191801146619617341998325884795.86601,763944,8999,857.043 × 11 × 13 × 19 × 23 × 1013 × 601763 × 944899
M139,945,5432884167201599762095550374.61597,473721,6319,671.97239 × 597473 × 721631
M188,881,53111941826122816759976687976.66596,933529,572,7936,908,038.60596933 × 529572793

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