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

Mersenne numbers with smoothest P-1 factors:

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

Exponent	Factor ↓	Bits	min B1	min B2	Ratio	k (factored)
M98,921,051	19645838178727069884761551	84.02	229	281	3.34	3³ × 5² × 7 × 13² × 17 × 19 × 31 × 193 × 229 × 281
M43,148,921	82568328725971289068489	76.13	397	409	5.37	2² × 3² × 97 × 109 × 113 × 137 × 397 × 409
M78,531,413	38760879220416200615441	75.04	293	383	5.10	2³ × 5 × 59 × 83 × 103 × 109 × 293 × 383
M105,635,503	37997390848585898056081	75.01	191	331	4.41	2³ × 3 × 5 × 13 × 83 × 127 × 173 × 191 × 331
M59,059,183	36067595474201584451929	74.93	343	343	4.58	2² × 3 × 7³ × 11 × 41 × 73 × 103 × 131 × 167
M106,798,873	34273537449197106442537	74.86	343	343	4.58	2² × 3² × 7³ × 11 × 109 × 137 × 239 × 331
M93,607,963	32876253851341980132511	74.80	113	389	5.20	3 × 5 × 19 × 23 × 61 × 97 × 103 × 113 × 389
M93,429,073	20918807476342068975361	74.15	373	419	5.65	2⁷ × 3 × 5 × 7 × 223 × 239 × 373 × 419
M49,839,809	18340545274689165092713	73.96	191	347	4.69	2² × 3³ × 7 × 23 × 43 × 47 × 79 × 191 × 347
M138,742,759	16464978141809732373551	73.80	239	251	3.40	5² × 19 × 71 × 139 × 211 × 239 × 251
M31,693,309	11575766348188992230711	73.29	199	257	3.51	5 × 11 × 13 × 19 × 31 × 61 × 139 × 199 × 257
M7,926,761	11307114440999064743617	73.26	211	401	5.47	2⁵ × 3³ × 11 × 47 × 113 × 167 × 211 × 401
M122,878,537	10138329352621125997447	73.10	239	277	3.79	3 × 7² × 107 × 173 × 229 × 239 × 277
M58,029,469	9252873882138722445047	72.97	173	277	3.80	37 × 47 × 67 × 109 × 131 × 173 × 277
M70,349,033	9022485120260285214377	72.93	293	347	4.76	2² × 11 × 17² × 193 × 257 × 293 × 347
M88,695,571	5687536141524693112273	72.27	81	317	4.39	2³ × 3⁴ × 7 × 11 × 17 × 43 × 47 × 59 × 317
M58,980,811	3326153351927425943351	71.49	233	269	3.76	5² × 7 × 17 × 37 × 61 × 67 × 233 × 269
M55,645,649	1775111898489498680401	70.59	241	359	5.09	2³ × 3² × 5² × 23 × 61 × 73 × 241 × 359
M13,035,833	1077166343714454026287	69.87	293	353	5.05	3 × 11 × 29 × 47 × 83 × 107 × 293 × 353
M24,833,233	844407916178652973711	69.52	151	349	5.02	3² × 5 × 17 × 53 × 73 × 109 × 151 × 349
M43,401,373	690839344386318969521	69.23	271	383	5.53	2³ × 5 × 7 × 17 × 89 × 181 × 271 × 383
M33,753,301	431478743194976652001	68.55	125	137	2.00	2⁴ × 3² × 5³ × 7 × 43 × 79 × 109 × 137
M24,791,281	370047748629922683841	68.33	169	169	2.47	2⁵ × 3³ × 5 × 13² × 29 × 31 × 83 × 137
M17,764,939	289190972952789755233	67.97	89	193	2.84	2⁴ × 3 × 7 × 11 × 41 × 53 × 59 × 89 × 193
M16,339,483	178560759655560348337	67.28	179	263	3.91	2³ × 3 × 19 × 29 × 67 × 131 × 179 × 263
M10,141,069	157488245982319323457	67.09	281	347	5.17	2⁵ × 3⁵ × 7² × 11 × 19 × 281 × 347
M20,045,497	144188351771959714081	66.97	191	241	3.60	2⁴ × 3 × 5 × 43 × 67 × 113 × 191 × 241
M18,862,871	128636480147812956721	66.80	173	281	4.21	2³ × 3² × 5 × 17 × 73 × 157 × 173 × 281
M10,200,797	122783671423023965089	66.73	191	277	4.15	2⁴ × 3 × 7 × 31 × 67 × 163 × 191 × 277
M10,264,843	115081716592614301583	66.64	157	313	4.70	13 × 19 × 61 × 67 × 113 × 157 × 313
M12,718,709	114287867042028364417	66.63	157	337	5.06	2⁶ × 3 × 29 × 101 × 151 × 157 × 337
M11,802,191	106051542594606125191	66.52	269	293	4.40	3³ × 5 × 31 × 53 × 257 × 269 × 293
M19,570,253	98571626659985089313	66.42	227	353	5.31	2⁴ × 13² × 59 × 197 × 227 × 353
M21,026,741	97841706476873269087	66.41	243	311	4.68	3⁵ × 11² × 43 × 61 × 97 × 311
M14,726,497	95774964577027382351	66.38	361	361	5.44	5² × 11 × 19² × 23 × 47 × 157 × 193
M20,005,159	91186955491077499993	66.31	281	317	4.78	2² × 3 × 79 × 137 × 197 × 281 × 317
M15,637,759	90565883319038673151	66.30	173	313	4.72	3² × 5² × 11 × 17 × 31 × 41 × 173 × 313
M4,693,217	81241117448040733537	66.14	167	317	4.79	2⁴ × 3² × 73 × 103 × 151 × 167 × 317
M8,776,051	69376293681116961761	65.91	139	191	2.90	2⁴ × 5 × 13 × 37 × 53 × 73 × 139 × 191
M2,823,437	59274530471333199023	65.68	149	197	3.00	7 × 11 × 13 × 29 × 97 × 127 × 149 × 197
M16,924,871	57326211753798370601	65.64	107	313	4.77	2² × 5² × 7 × 29 × 47 × 53 × 107 × 313
M7,174,529	56272457791740509201	65.61	233	311	4.74	2³ × 5² × 7 × 29 × 31 × 43 × 233 × 311
M8,809,187	54753787839708292609	65.57	256	317	4.83	2⁸ × 3² × 7 × 13 × 19 × 23 × 107 × 317
M5,012,549	47658319082029618489	65.37	109	233	3.56	2² × 3⁴ × 71 × 79 × 103 × 109 × 233
M2,841,031	42963088389080453983	65.22	239	313	4.80	3³ × 23 × 37 × 53 × 83 × 239 × 313
M7,196,023	32278980239863134361	64.81	103	233	3.60	2² × 3 × 5 × 11 × 37 × 43 × 89 × 103 × 233
M7,977,731	32202352877135962529	64.80	89	197	3.04	2⁴ × 7² × 29 × 61 × 83 × 89 × 197
M7,536,869	31487662752024415591	64.77	181	277	4.28	3² × 5 × 89 × 101 × 103 × 181 × 277
M4,531,217	30265830790572129457	64.71	233	373	5.76	2³ × 3 × 11 × 19 × 47 × 163 × 233 × 373
M6,943,661	26734505104771635601	64.54	243	243	3.77	2³ × 3⁵ × 5² × 11 × 13 × 19 × 61 × 239

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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	<	146M	PrimeNet wavefront