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

Mersenne numbers with smoothest P-1 factors:

Top 2,344 factors (top 100 per 10M range) listed here

Exponent	Factor	Bits	min B1	min B2	Ratio ↑	k (factored)
M21,026,741	97841706476873269087	66.41	243	311	4.68	3⁵ × 11² × 43 × 61 × 97 × 311
M49,839,809	18340545274689165092713	73.96	191	347	4.69	2² × 3³ × 7 × 23 × 43 × 47 × 79 × 191 × 347
M10,264,843	115081716592614301583	66.64	157	313	4.70	13 × 19 × 61 × 67 × 113 × 157 × 313
M15,637,759	90565883319038673151	66.30	173	313	4.72	3² × 5² × 11 × 17 × 31 × 41 × 173 × 313
M7,174,529	56272457791740509201	65.61	233	311	4.74	2³ × 5² × 7 × 29 × 31 × 43 × 233 × 311
M423,109	18817757692010369	54.06	179	257	4.75	2⁶ × 7 × 13 × 83 × 179 × 257
M70,349,033	9022485120260285214377	72.93	293	347	4.76	2² × 11 × 17² × 193 × 257 × 293 × 347
M16,924,871	57326211753798370601	65.64	107	313	4.77	2² × 5² × 7 × 29 × 47 × 53 × 107 × 313
M2,150,303	725903795495330401	59.33	173	283	4.77	2⁴ × 3 × 5² × 13² × 17 × 173 × 283
M20,005,159	91186955491077499993	66.31	281	317	4.78	2² × 3 × 79 × 137 × 197 × 281 × 317
M4,693,217	81241117448040733537	66.14	167	317	4.79	2⁴ × 3² × 73 × 103 × 151 × 167 × 317
M2,841,031	42963088389080453983	65.22	239	313	4.80	3³ × 23 × 37 × 53 × 83 × 239 × 313
M2,729	209927680956001	47.58	125	229	4.81	2⁴ × 3² × 5³ × 7 × 31 × 43 × 229
M8,809,187	54753787839708292609	65.57	256	317	4.83	2⁸ × 3² × 7 × 13 × 19 × 23 × 107 × 317
M1,338,791	288570045826604161	58.00	163	281	4.84	2⁶ × 3² × 5 × 19 × 43 × 163 × 281
M91,433	18430072679315593	54.03	139	263	4.87	2² × 3⁴ × 67 × 127 × 139 × 263
M6,078,869	5821502046874546033	62.34	67	307	4.92	2³ × 3² × 7 × 11 × 13 × 17 × 19 × 67 × 307
M2,005,919	461219833157727601	58.68	289	289	4.93	2³ × 3³ × 5² × 11 × 17² × 37 × 181
M2,324,899	588755146683879001	59.03	269	293	4.96	2² × 3³ × 5³ × 7 × 17 × 269 × 293
M1,173,631	298069494497906311	58.05	289	289	4.98	3² × 5 × 17² × 137 × 263 × 271
M24,833,233	844407916178652973711	69.52	151	349	5.02	3² × 5 × 17 × 53 × 73 × 109 × 151 × 349
M13,035,833	1077166343714454026287	69.87	293	353	5.05	3 × 11 × 29 × 47 × 83 × 107 × 293 × 353
M4,025,543	3367269955590648361	61.55	139	311	5.05	2² × 3 × 5 × 11 × 107 × 137 × 139 × 311
M55,645,649	1775111898489498680401	70.59	241	359	5.09	2³ × 3² × 5² × 23 × 61 × 73 × 241 × 359
M78,531,413	38760879220416200615441	75.04	293	383	5.10	2³ × 5 × 59 × 83 × 103 × 109 × 293 × 383
M10,141,069	157488245982319323457	67.09	281	347	5.17	2⁵ × 3⁵ × 7² × 11 × 19 × 281 × 347
M93,607,963	32876253851341980132511	74.80	113	389	5.20	3 × 5 × 19 × 23 × 61 × 97 × 103 × 113 × 389
M252,449	9458328659499487	53.07	101	277	5.22	3² × 13 × 59 × 97 × 101 × 277
M389,531	40042114721043137	55.15	199	293	5.31	2⁵ × 13² × 163 × 199 × 293
M19,570,253	98571626659985089313	66.42	227	353	5.31	2⁴ × 13² × 59 × 197 × 227 × 353
M43,148,921	82568328725971289068489	76.13	397	409	5.37	2² × 3² × 97 × 109 × 113 × 137 × 397 × 409
M157,429	251557613661918097	57.80	71	311	5.38	2³ × 3² × 13 × 29 × 31 × 43 × 71 × 311
M3,562,499	3043646638758433951	61.40	293	331	5.39	3 × 5² × 11 × 19 × 281 × 293 × 331
M1,300,457	201579314954982751	57.48	163	311	5.41	3⁴ × 5³ × 151 × 163 × 311
M14,726,497	95774964577027382351	66.38	361	361	5.44	5² × 11 × 19² × 23 × 47 × 157 × 193
M7,926,761	11307114440999064743617	73.26	211	401	5.47	2⁵ × 3³ × 11 × 47 × 113 × 167 × 211 × 401
M550,163	13306443213105864431	63.53	271	349	5.49	5 × 7² × 43 × 53 × 229 × 271 × 349
M5,455,771	5425367152871346913	62.23	343	343	5.51	2⁴ × 3³ × 7³ × 11 × 29 × 67 × 157
M2,321,587	2326406145317117473	61.01	289	337	5.52	2⁴ × 3 × 7 × 17² × 61 × 251 × 337
M43,401,373	690839344386318969521	69.23	271	383	5.53	2³ × 5 × 7 × 17 × 89 × 181 × 271 × 383
M8,655,307	19884277375526928673	64.11	73	359	5.60	2⁴ × 3² × 7 × 11 × 59 × 67 × 73 × 359
M93,429,073	20918807476342068975361	74.15	373	419	5.65	2⁷ × 3 × 5 × 7 × 223 × 239 × 373 × 419
M3,290,201	4680302928890866481	62.02	337	353	5.69	2³ × 5 × 7 × 131 × 163 × 337 × 353
M2,408,587	8185812272861618401	62.83	361	361	5.75	2⁴ × 3 × 5² × 19² × 83 × 167 × 283
M4,531,217	30265830790572129457	64.71	233	373	5.76	2³ × 3 × 11 × 19 × 47 × 163 × 233 × 373
M59,149	1979421682481281	50.81	251	293	5.77	2⁶ × 3² × 5 × 79 × 251 × 293
M68,398,349	54386158460740668372823	75.53	289	439	5.81	3 × 11² × 17² × 163 × 211 × 251 × 439
M7,254,893	65857940369695216177	65.84	347	383	5.82	2³ × 3 × 7² × 113 × 257 × 347 × 383
M14,219,963	40354041640263892921	65.13	233	379	5.82	2² × 3² × 5 × 17 × 59 × 89 × 233 × 379
M280,507	248421658524496577	57.79	113	337	5.83	2⁵ × 7 × 23 × 37 × 61 × 113 × 337

« Prev 50

Next 50 »

Showing 51 - 100 of 2,344

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	123M	PrimeNet wavefront