Mersenne numbers with smoothest P-1 factors:
Top 712 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratio ↓k (factored)
M12,183,63150169314517265707421757409299377105.3165,30962,366,671592,239.0923 × 32 × 557 × 1213 × 10391 × 65309 × 62366671
M332,264,49715332269681406403050019823853901889113.561,059,06153,935,031474,938.5425 × 3 × 31 × 269 × 504563 × 1059061 × 53935031
M134,999,1732172255785916506905498043102798927110.74128,20330,232,931273,001.277 × 401 × 16993 × 43517 × 128203 × 30232931
M90,256,26718856918068731092807853556663127727113.8634,61327,987,497245,804.8383 × 269 × 1201 × 1237 × 3251 × 34613 × 27987497
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M118,003,031375397573096806196207057936909987053751128.1498,80124,688,949192,669.143 × 54 × 7 × 11 × 577 × 81647 × 95873 × 98801 × 24688949
M38,548,351394522825296952863288767587349351108.28326,58118,280,429168,822.7252 × 109 × 6581 × 47797 × 326581 × 18280429
M110,111,0112112269817586651744378264912534933423120.671,107,59318,748,679155,373.8132 × 17 × 19 × 29 × 383 × 563 × 25409 × 1107593 × 18748679
M91,426,3936676517298558762481364387959135721112.36645,87712,943,981115,198.1822 × 5 × 43 × 113 × 409 × 109883 × 645877 × 12943981
M49,259,6417066646209864616807384548523107241112.45129,40312,763,903113,512.7622 × 5 × 43 × 97 × 4271 × 121889 × 129403 × 12763903
M48,730,067153766624195592326541360625300223106.92136,84111,004,727102,922.523 × 23 × 41 × 43 × 1663 × 5179 × 136841 × 11004727
M90,126,433284799487774033594964085810386474865767127.7447,11912,856,153100,640.597 × 19 × 223 × 271 × 2273 × 6257 × 22817 × 47119 × 12856153
M44,287,279856499762737611127433267716347749399639129.33345,81712,346,82395,466.32192 × 37 × 739 × 3779 × 4337 × 13999 × 345817 × 12346823
M90,646,2235353927286164491335757237684400151112.0470,20710,477,67993,513.7852 × 107 × 163 × 3217 × 28621 × 70207 × 10477679
M37,810,481587149730470015712550802382567593108.86271,8979,904,07990,983.7922 × 3 × 13 × 73 × 12641 × 20029 × 271897 × 9904079
M90,811,3971547219326436382001828983372582041110.25520,4119,820,38789,071.1322 × 5 × 7 × 13 × 43 × 109 × 195407 × 520411 × 9820387
M44,483,167515438039524088138879549596510583108.67333,1399,396,70186,472.0523 × 167 × 12113 × 39779 × 333139 × 9396701
M36,580,82969226070412820029375149935506422281115.74362,2339,494,60382,036.1122 × 35 × 5 × 11 × 619 × 1999 × 4159 × 362233 × 9494603
M34,023,5271986954993094425683792830958768057110.61222,2939,021,28181,556.2822 × 11 × 29 × 151 × 4831 × 15643 × 222293 × 9021281
M20,980,4035109469618328683230111144353179751111.9819,2499,019,22980,545.5153 × 17 × 23 × 53 × 383 × 823 × 859 × 19249 × 9019229
M34,581,19318662780624064464661361569244634801113.85149,0119,052,50779,515.5723 × 52 × 112 × 13 × 12689 × 50111 × 149011 × 9052507
M43,647,803463354631502043524607897762979329108.51257,9038,351,20976,959.8728 × 3 × 97 × 1487 × 22247 × 257903 × 8351209
M42,103,3792947985598900814490434141594172047111.18224,1318,528,68776,708.313 × 17 × 41 × 53 × 83 × 131 × 15199 × 224131 × 8528687
M49,600,871363489456843362960780380904266051361118.13193,8718,757,75774,136.9824 × 5 × 137 × 547 × 16223 × 22189 × 193871 × 8757757
M42,759,6111710707474993819843765393982449905030927777140.30385,37910,067,37171,758.2924 × 33 × 31 × 353 × 479 × 1291 × 6277 × 280979 × 385379 × 10067371
M90,606,51712878256674127975911547383924141959113.31127,9518,081,28771,319.8532 × 97 × 239 × 269 × 353 × 3469 × 127951 × 8081287
M90,271,8432674265280335145427766777155537993111.0481,0417,643,89368,837.3822 × 32 × 41 × 47 × 79 × 293 × 14891 × 81041 × 7643893
M35,696,393527145219716403155785537950137657108.70407,0237,450,72168,543.9522 × 19 × 61 × 16519 × 31793 × 407023 × 7450721
M91,146,359108291064596445813760247955946493089116.3855,4117,612,98165,413.5124 × 13 × 23 × 53 × 73 × 337 × 401 × 563 × 55411 × 7612981
M39,692,20125474766152780738575084017459036321114.3021,9377,472,43165,378.6724 × 5 × 7 × 292 × 1087 × 1459 × 2621 × 21937 × 7472431
M90,756,929597249525742769512920252307003937108.88374,4616,203,92756,979.4724 × 7 × 83 × 1181 × 129011 × 374461 × 6203927
M47,625,9437125206606581478563794834571497809112.46738,8636,357,19356,530.2123 × 409 × 10589 × 459649 × 738863 × 6357193
M44,005,9211311614458045509573867618417896897110.021,061,1076,058,87955,073.2225 × 41 × 32077 × 55079 × 1061107 × 6058879
M46,352,329242579148167273432228107838706433107.5836,5635,746,39753,415.0327 × 3 × 17 × 607 × 977 × 3217 × 36563 × 5746397
M36,985,601139923334881547042367500615274921106.7955,8175,669,37153,090.7922 × 5 × 337 × 19867 × 44641 × 55817 × 5669371
M20,396,183347237652196358735735382070128151108.10423,9775,637,64152,153.243 × 52 × 433 × 2027 × 54101 × 423977 × 5637641
M91,150,649420168247365933163207630527781851871118.34203,4496,114,92951,673.223 × 5 × 13 × 23 × 577 × 13259 × 53993 × 203449 × 6114929
M15,806,213697602326590479089437129537209068497119.0787,4036,136,62151,537.9823 × 3 × 11 × 13 × 59 × 163 × 27793 × 44851 × 87403 × 6136621
M34,239,7191082950864389288419662786239360050383119.70313,9876,134,15351,244.1832 × 83 × 2411 × 57601 × 79147 × 313987 × 6134153
M43,876,717157004438180734402486122392274190471116.92321,0475,988,33151,218.093 × 5 × 7 × 1109 × 60257 × 132631 × 321047 × 5988331
M33,259,321458949158377367026548109895089001108.5029,1675,415,03749,908.1622 × 53 × 17 × 79 × 139 × 419 × 1117 × 29167 × 5415037
M48,335,537375262994680555914860685632917121108.214,2595,310,63749,077.3226 × 5 × 13 × 23 × 29 × 101 × 757 × 809 × 4259 × 5310637
M38,403,467329100560218287264929080811749097108.02164,4475,114,41347,346.8122 × 89 × 251 × 1093 × 52163 × 164447 × 5114413
M46,611,211865636899258099468001184484906119109.42181,2775,045,13746,109.917 × 17 × 181 × 6473 × 72823 × 181277 × 5045137
M10,000,8195988126061357508677715970815183761112.21410,8335,061,34945,107.7623 × 32 × 5 × 11 × 79 × 139 × 277 × 11953 × 410833 × 5061349
M49,731,85345532174682754624990174209423997647115.1344,9715,170,67344,910.6511 × 709 × 1451 × 4259 × 40847 × 44971 × 5170673
M47,276,65910889771891430053227728089154318798577123.03182,5035,476,67344,513.3823 × 3 × 7 × 132 × 19 × 2251 × 4127 × 22993 × 182503 × 5476673
M92,617,1931175619298002469430597399521162713999664087139.75127,7276,152,49144,023.593 × 19 × 107 × 199 × 2161 × 6907 × 10181 × 43789 × 127727 × 6152491
M48,607,613570504774227597651067706431439607108.81287,6894,664,92742,870.687 × 1237 × 2731 × 184913 × 287689 × 4664927
M11,953,757650056667485071071920145462325967109.0090,8634,641,56342,582.263 × 16943 × 17551 × 72269 × 90863 × 4641563

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