GIMPS (Prime95) Mersenne numbers with smoothest P-1 factors

Mersenne numbers with smoothest P-1 factors:

Top 1,292 factors (top 100 per 10M range) listed here

Exponent	Factor	Bits	min B1	min B2	Ratio ↑	k (factored)
M789,851	19202612064222049	54.09	47	127	2.35	2⁴ × 3 × 7 × 11 × 19 × 29 × 47 × 127
M990,053	195667020531001009	57.44	127	137	2.39	2³ × 3² × 11 × 71 × 101 × 127 × 137
M1,313,219	1745681336714893489	60.60	149	197	3.25	2³ × 3 × 17 × 19 × 23 × 127 × 149 × 197
M1,389,643	147944985943231423	57.04	121	211	3.70	3³ × 11² × 31 × 47 × 53 × 211
M58,029,469	9252873882138722445047	72.97	173	277	3.80	37 × 47 × 67 × 109 × 131 × 173 × 277
M1,040,159	154887933065842943	57.10	191	223	3.91	7 × 29 × 79 × 109 × 191 × 223
M1,351,813	390421790816839751	58.44	125	233	3.99	5³ × 31 × 41 × 47 × 83 × 233
M53,163,701	487591844663901767161	68.72	233	281	4.09	2² × 3 × 5 × 7 × 19 × 67 × 131 × 233 × 281
M46,951,243	597691904786712099911	69.02	151	311	4.51	5 × 7 × 13 × 37 × 83 × 97 × 151 × 311
M53,316,209	354690260840998832641	68.27	256	311	4.56	2⁸ × 3 × 5 × 11 × 23 × 101 × 109 × 311
M59,059,183	36067595474201584451929	74.93	343	343	4.58	2² × 3 × 7³ × 11 × 41 × 73 × 103 × 131 × 167
M49,839,809	18340545274689165092713	73.96	191	347	4.69	2² × 3³ × 7 × 23 × 43 × 47 × 79 × 191 × 347
M962,431	16365712605580801	53.86	256	256	4.75	2⁸ × 3⁵ × 5² × 7 × 11 × 71
M1,771,543	256948273026033601	57.83	211	277	4.79	2⁵ × 3 × 5² × 11 × 47 × 211 × 277
M1,338,791	288570045826604161	58.00	163	281	4.84	2⁶ × 3² × 5 × 19 × 43 × 163 × 281
M989,081	18512350868296321	54.04	167	269	4.98	2⁶ × 3 × 5 × 7 × 31 × 167 × 269
M1,173,631	298069494497906311	58.05	289	289	4.98	3² × 5 × 17² × 137 × 263 × 271
M78,531,413	38760879220416200615441	75.04	293	383	5.10	2³ × 5 × 59 × 83 × 103 × 109 × 293 × 383
M1,669,651	127725735032697673	56.83	277	293	5.16	2² × 3² × 13 × 19 × 53 × 277 × 293
M880,681	13728127291569601	53.61	127	281	5.24	2⁵ × 3 × 5² × 7 × 13 × 127 × 281
M671,917	31087004082135721	54.79	289	289	5.27	2² × 3 × 5 × 17² × 29 × 179 × 257
M966,557	15931413751709119	53.82	289	289	5.37	3 × 13 × 17² × 31 × 103 × 229
M1,300,457	201579314954982751	57.48	163	311	5.41	3⁴ × 5³ × 151 × 163 × 311
M1,446,703	128870235311158177	56.84	199	311	5.47	2⁴ × 3 × 11 × 29 × 47 × 199 × 311
M550,163	13306443213105864431	63.53	271	349	5.49	5 × 7² × 43 × 53 × 229 × 271 × 349
M43,401,373	690839344386318969521	69.23	271	383	5.53	2³ × 5 × 7 × 17 × 89 × 181 × 271 × 383
M900,061	1213454982108097	50.11	289	289	5.77	2⁵ × 3² × 7 × 13 × 17² × 89
M68,398,349	54386158460740668372823	75.53	289	439	5.81	3 × 11² × 17² × 163 × 211 × 251 × 439
M800,077	736782473288112001	59.35	139	353	5.95	2⁶ × 3 × 5³ × 17 × 23 × 139 × 353
M1,053,809	237568516759592353	57.72	243	347	6.01	2⁴ × 3⁵ × 29 × 43 × 67 × 347
M51,673,129	2617874449505385168743	71.15	233	431	6.06	7² × 23 × 41 × 53 × 103 × 233 × 431
M7,419,341	478354892326283658607	68.70	347	419	6.10	3 × 19 × 109 × 127 × 281 × 347 × 419
M57,697,903	1103718730097240644351	69.90	271	439	6.28	3 × 5² × 43 × 97 × 257 × 271 × 439
M65,028,539	566825227425806432191057	78.91	529	529	6.70	2³ × 3² × 13 × 23² × 191 × 197 × 449 × 521
M61,464,751	1304481738054358815443801	80.11	479	541	6.75	2² × 5² × 7 × 11 × 73 × 263 × 277 × 479 × 541
M1,436,021	1740927224867693017	60.59	223	419	6.91	2² × 3 × 7² × 11 × 17 × 59 × 223 × 419
M1,285,441	59657444521134233	55.73	379	389	6.98	2² × 19² × 109 × 379 × 389
M45,913,831	1309673971497300048703624441	90.08	593	643	7.14	2² × 3 × 5 × 11 × 397 × 499 × 523 × 547 × 593 × 643
M1,233,019	1532003774270739841	60.41	131	443	7.33	2⁶ × 3⁴ × 5 × 7 × 59 × 131 × 443
M39,197,941	2723191837040050894337	71.21	256	523	7.34	2⁸ × 7 × 13 × 79 × 151 × 239 × 523
M55,009,391	25281002157479012582849	74.42	443	547	7.35	2⁵ × 7 × 17 × 29 × 31 × 277 × 443 × 547
M88,925,173	223165950840787516186561	77.56	337	587	7.57	2⁵ × 3 × 5 × 13 × 23 × 193 × 229 × 337 × 587
M899,009	1515337745177534959	60.39	243	461	7.63	3⁵ × 19 × 31 × 53 × 241 × 461
M60,119,329	131898648119997108041	66.84	277	521	7.79	2² × 5 × 19 × 83 × 241 × 277 × 521
M1,807,063	696173947530042469951	69.24	167	541	7.81	3³ × 5² × 7 × 11 × 17 × 19 × 127 × 167 × 541
M51,441,707	3789834393034482185167	71.68	461	571	7.97	3 × 37 × 41 × 97 × 317 × 461 × 571
M467,003	2381966016433579729	61.05	243	487	7.98	2³ × 3⁵ × 101 × 149 × 179 × 487
M49,762,883	13164700985312891038081	73.48	449	587	7.99	2⁶ × 3 × 5 × 7² × 47 × 227 × 449 × 587
M43,814,227	158337341401559444338471	77.07	461	617	8.01	3 × 5 × 59 × 83 × 197 × 439 × 461 × 617
M51,885,737	1981293982071903904721	70.75	463	569	8.04	2³ × 5 × 7 × 41 × 59 × 107 × 463 × 569

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