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)
M5,517,167	5248576754387960561	62.19	83	89	1.43	2³ × 5 × 7 × 41 × 71 × 79 × 83 × 89
M70,979	585097880239441	49.06	81	81	1.65	2³ × 3⁴ × 5 × 19 × 23 × 41 × 71
M9,433	15677581761271	43.83	61	73	1.67	3² × 5 × 11 × 13 × 29 × 61 × 73
M1,019,257	149100571714594537	57.05	103	109	1.91	2² × 3² × 37 × 67 × 73 × 103 × 109
M33,753,301	431478743194976652001	68.55	125	137	2.00	2⁴ × 3² × 5³ × 7 × 43 × 79 × 109 × 137
M990,053	195667020531001009	57.44	127	137	2.39	2³ × 3² × 11 × 71 × 101 × 127 × 137
M3,873,941	10547093161281495911	63.19	107	151	2.39	5 × 7 × 13 × 23 × 83 × 97 × 107 × 151
M24,791,281	370047748629922683841	68.33	169	169	2.47	2⁵ × 3³ × 5 × 13² × 29 × 31 × 83 × 137
M123,341	212408051786717473	57.56	101	149	2.59	2⁴ × 3⁴ × 7² × 17 × 53 × 101 × 149
M343,051	50774304006554311	55.49	61	157	2.83	3³ × 5 × 7 × 13 × 17 × 37 × 61 × 157
M17,764,939	289190972952789755233	67.97	89	193	2.84	2⁴ × 3 × 7 × 11 × 41 × 53 × 59 × 89 × 193
M2,405,399	752032354751655121	59.38	169	169	2.85	2³ × 3² × 5 × 11 × 13² × 37 × 59 × 107
M1,389,623	6964448365491818881	62.59	67	179	2.86	2⁶ × 3 × 5 × 7 × 17 × 31 × 59 × 67 × 179
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
M498,497	58899975390992737	55.71	169	169	3.03	2⁴ × 3⁴ × 7 × 11 × 13² × 31 × 113
M7,977,731	32202352877135962529	64.80	89	197	3.04	2⁴ × 7² × 29 × 61 × 83 × 89 × 197
M429,467	26604393155696555713	64.53	109	199	3.08	2⁵ × 3² × 31 × 41 × 47 × 83 × 109 × 199
M2,487,493	762204282127091777	59.40	97	191	3.22	2⁵ × 7 × 19 × 29 × 67 × 97 × 191
M1,313,219	1745681336714893489	60.60	149	197	3.25	2³ × 3 × 17 × 19 × 23 × 127 × 149 × 197
M98,921,051	19645838178727069884761551	84.02	229	281	3.34	3³ × 5² × 7 × 13² × 17 × 19 × 31 × 193 × 229 × 281
M3,605,293	7605062468462182657	62.72	128	211	3.36	2⁷ × 3 × 37 × 59 × 67 × 89 × 211
M5,155,861	5658681032570426743	62.30	139	211	3.39	3² × 7 × 47 × 71 × 89 × 139 × 211
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
M8,812,361	23695976893393170857	64.36	223	229	3.56	2² × 7 × 53 × 113 × 157 × 223 × 229
M5,012,549	47658319082029618489	65.37	109	233	3.56	2² × 3⁴ × 71 × 79 × 103 × 109 × 233
M7,196,023	32278980239863134361	64.81	103	233	3.60	2² × 3 × 5 × 11 × 37 × 43 × 89 × 103 × 233
M20,045,497	144188351771959714081	66.97	191	241	3.60	2⁴ × 3 × 5 × 43 × 67 × 113 × 191 × 241
M3,658,201	3246318301614740657	61.49	193	223	3.63	2³ × 73 × 127 × 139 × 193 × 223
M5,201,993	16292220891101834449	63.82	103	233	3.65	2³ × 3 × 7 × 11 × 17 × 31 × 67 × 103 × 233
M58,980,811	3326153351927425943351	71.49	233	269	3.76	5² × 7 × 17 × 37 × 61 × 67 × 233 × 269
M6,943,661	26734505104771635601	64.54	243	243	3.77	2³ × 3⁵ × 5² × 11 × 13 × 19 × 61 × 239
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
M8,115,551	15404736486637271071	63.74	243	243	3.81	3⁵ × 5 × 11² × 29 × 31 × 43 × 167
M1,040,159	154887933065842943	57.10	191	223	3.91	7 × 29 × 79 × 109 × 191 × 223
M16,339,483	178560759655560348337	67.28	179	263	3.91	2³ × 3 × 19 × 29 × 67 × 131 × 179 × 263
M1,351,813	390421790816839751	58.44	125	233	3.99	5³ × 31 × 41 × 47 × 83 × 233
M10,200,797	122783671423023965089	66.73	191	277	4.15	2⁴ × 3 × 7 × 31 × 67 × 163 × 191 × 277
M18,862,871	128636480147812956721	66.80	173	281	4.21	2³ × 3² × 5 × 17 × 73 × 157 × 173 × 281
M913,337	238309974960036751	57.73	243	243	4.21	3⁵ × 5³ × 113 × 191 × 199
M7,536,869	31487662752024415591	64.77	181	277	4.28	3² × 5 × 89 × 101 × 103 × 181 × 277
M88,695,571	5687536141524693112273	72.27	81	317	4.39	2³ × 3⁴ × 7 × 11 × 17 × 43 × 47 × 59 × 317
M11,802,191	106051542594606125191	66.52	269	293	4.40	3³ × 5 × 31 × 53 × 257 × 269 × 293
M410,087	19133274966288001	54.09	125	239	4.42	2⁶ × 3 × 5³ × 7² × 83 × 239
M5,304,461	15443364214432070353	63.74	139	283	4.44	2³ × 3³ × 19 × 71 × 127 × 139 × 283
M60,383	1291712743872799	50.20	191	223	4.44	3 × 13 × 47 × 137 × 191 × 223
M2,692,643	1975009389346444273	60.78	197	271	4.46	2³ × 3 × 17 × 113 × 149 × 197 × 271
M59,059,183	36067595474201584451929	74.93	343	343	4.58	2² × 3 × 7³ × 11 × 41 × 73 × 103 × 131 × 167

« Prev 50

Next 50 »

Showing 1 - 50 of 100

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