M26647 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	1,115.0943	77.6119%	500000000	10000000000	0.6681	13.5927%	1,115.7624	80.6551%	3.0431%
PrimeNet	2⁴⁰	0.0000	62.5000%	500	10000	0.0000	3.9810%	0.0000	63.9929%	1.4929%
GPU72	2⁴⁴	0.0001	65.9091%	500	10000	0.0000	1.6982%	0.0001	66.4880%	0.5789%
Difference	+23	+1,115.0942	+11.7028%	+499999500	+9999990000	+0.6681	+11.8944%	+1,115.7623	+14.1670%	+14.1670%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
26647	47804719	8	25.511	897 3 × 13 × 23	-	13	23	2.003e-10	8.893e-9	1.737e-8
26647	6766845769	10	32.656	126972 2² × 3² × 3527	2008-08-26	9	3527	3.185e-8	1.317e-7	2.354e-7
26647	6418662044066454403017195216016399	34	112.306	120438736894705865632476361617 3 × 12263 × 3273770336097906048886253	2018-05-22	12263	3273770336097906048886253	5.724e+12	1.171e+14	2.187e+14

exponent	prime factors	composite factor	digits	bits*
26647	47804719 6766845769	323487160503383911	18	58.166
26647	47804719 6418662044066454403017195216016399	306842335372562470062549769469808253586881	42	137.817
26647	6766845769 6418662044066454403017195216016399	43434096095531978531888328281747610607765831	44	144.962
26647	47804719 6766845769 6418662044066454403017195216016399	20763547588659033892309540728886973540256647687564 89	52	170.472

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-12-15T22:44:24	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 47804719 skipped known factor: 6766845769	-	-	0.668	-	-	13.593%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26T19:59:00	ANONYMOUS	Manual testing	?	?	6766845769	32.656	10	1.03736e-8	3.02523e-5	2.60108e-8

ECM factoring results:

Old Calculation Method

Total ECM effort:	18.594 GHz-days
Estimated T-Level:	32.557

Digits	B1	Curves	Complete	FacMiss
20	11000	1600 / 100	16.000	0.000%
25	50000	1600 / 280	5.714	0.326%
30	250000	1410 / 640	2.203	11.027%
35	1000000	808 / 1580	0.511	59.956%
40	3000000	500 / 4700	0.106	89.907%

New Calculation Method

Total ECM effort:	18.594 GHz-days
Estimated T-Level:	32.557

Digits	B1	Complete	FacMiss
20	11000	200.335	0.000%
25	50000	40.424	0.000%
30	250000	6.816	0.110%
35	1000000	0.958	38.365%
40	3000000	0.115	89.179%
45	11000000	0.012	98.809%
50	44000000	0.001	99.889%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		189	0.089
200000	20000000		1	0.002
250000	25000000		602	1.422
1000000	100000000		308	2.910
3000000	300000000		486	13.77
3000000	300000000	6418662044066454403017195216016399	14	0.397

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06T12:36:00	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.014
2009-05-10T17:30:00	Matthias Wurtinger	WUR_E6600	250000	25000000						30	0.071
2010-04-18T17:48:00	James Hintz	10_122109	50000	5000000						3	0.001
2010-04-19T00:20:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-19T20:33:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-20T15:37:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-21T09:57:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-22T05:00:00	James Hintz	05_122109	50000	5000000						54	0.026
2010-04-22T05:15:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-23T05:25:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-23T20:49:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-24T14:59:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-04-25T10:07:00	James Hintz	10_122109	50000	5000000						11	0.005
2010-05-08T15:54:00	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-08T18:21:00	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-12T20:37:00	Rob_Dee	twopc	200000	20000000						1	0.002
2010-05-12T22:34:00	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-13T15:25:00	Rob_Dee	twopc	250000	25000000						1	0.002
2011-03-24T15:30:00	James Hintz	17_051310	250000	25000000						11	0.026
2014-11-06T20:53:00	James Hintz	08_04_2014	250000	25000000						560	1.323
2014-11-06T21:21:00	James Hintz	08_04_2014	1000000	100000000						11	0.104
2018-05-03T16:54:54	MiRo	HP	1000000	100000000						3	0.028
2018-05-04T06:23:29	Yxinity	YGS3	1000000	100000000						3	0.028
2018-05-06T11:36:23	Yxinity	MacBook	1000000	100000000						3	0.028
2018-05-09T07:40:34	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-11T14:38:25	Yxinity	MacBook	1000000	100000000						3	0.028
2018-05-16T17:44:26	Yxinity	MacBook	1000000	100000000						3	0.028
2018-05-22T09:22:58	Yxinity	MacBook	1000000	100000000						3	0.028
2018-05-22T18:20:16	nordi	nordiputer	3000000	300000000	6418662044066454403017195216016399	112.306	14	2		14	0.397
2018-05-24T21:25:59	nordi	nordiputer	3000000	300000000						486	13.77
2018-05-27T10:19:42	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-27T10:20:14	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:12:37	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:13:23	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:14:11	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-30T17:14:40	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-05-31T17:42:58	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-06-03T09:46:35	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-06-04T18:35:20	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-06-09T18:43:06	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-06-28T19:40:30	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-06-30T03:16:23	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-07-14T06:42:47	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-07-14T06:44:26	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-07-15T10:22:23	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-07-20T04:33:31	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T15:14:29	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T15:14:46	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T15:15:05	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-08-19T15:39:15	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:56:58	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:57:16	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T15:57:33	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-09-05T16:00:37	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-07T13:14:09	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-08T05:24:51	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-08T05:34:09	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-08T05:43:05	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-08T05:43:36	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-08T05:44:08	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-10T03:41:27	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-10T03:44:10	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-26T16:40:28	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-26T16:43:19	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-28T06:58:28	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-28T07:02:33	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-28T08:10:37	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-28T08:11:29	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-10-28T08:12:24	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-04T13:04:23	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-04T13:06:59	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T10:59:53	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T11:02:18	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T12:51:16	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T12:51:40	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-10T12:52:07	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-14T17:50:13	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-14T17:54:49	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-17T11:18:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-17T11:22:33	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-19T16:43:57	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-19T16:46:43	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-21T16:38:30	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-21T16:40:43	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-26T16:11:58	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-11-26T16:15:46	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-03T17:49:50	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-03T17:53:03	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-10T12:41:09	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-10T12:43:21	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-13T13:39:44	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-13T13:42:00	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-20T10:53:19	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-20T10:55:48	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-22T16:46:06	Yxinity	Manual testing	1000000	100000000						3	0.028
2018-12-22T16:48:17	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:45:55	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:47:45	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:49:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:49:16	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-01-12T07:49:30	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-03-07T17:30:22	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-03-07T17:33:34	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-08-08T14:32:06	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-08-18T14:51:11	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-08-18T17:55:48	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-08-27T17:36:07	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-08-29T17:26:56	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-09-27T16:20:40	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-09T15:03:08	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-15T20:27:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-15T20:28:22	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-15T20:29:46	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-20T17:04:46	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-20T17:05:41	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-20T17:06:33	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-20T17:11:02	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-20T17:14:50	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-11-29T13:53:19	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-12-06T15:26:14	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-12-06T16:42:26	Yxinity	Manual testing	1000000	100000000						3	0.028
2019-12-06T16:45:58	Yxinity	Manual testing	1000000	100000000						3	0.028

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