M10687 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	unknown	100000000000	120443211520241610	1,247,541.9951	86.8347%	1,247,541.9951	86.8347%	86.8347%
Target	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.2898%	0.0002	68.5922%	0.4104%
Difference	-44	-0.0002	-68.1818%	+99999999500	+120443211520231610	+1,247,541.9951	+85.5449%	+1,247,541.9949	+18.2425%	+86.4243%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
10687	7096169	7	22.759	332 2² × 83	-	4	83	5.604e-11	1.579e-9	1.579e-9
10687	150064640218475601809231	24	76.990	7020896426428165145 5 × 29² × 1669654322575069	2008-08-29	841	1669654322575069	2,177,484	17,294	32,300
10687	54197177223092372796513261440372811522863	41	135.315	2535659082206997885118052841787817513 11 × 13 × 731689489 × 2532628537 × 9568778745187087	2022-12-17	2532628537	9568778745187087	1.434e+13	99,112	185,112

exponent	prime factors	composite factor	digits	bits*
10687	7096169 150064640218475601809231	1064884047914499792815008936039	31	99.749
10687	7096169 54197177223092372796513261440372811522863	384592328898014179975060713922068893571383211847	48	158.074
10687	150064640218475601809231 54197177223092372796513261440372811522863	81330799008403175206312089799299768551170865944915 49807120948353	64	212.305
10687	7096169 150064640218475601809231 54197177223092372796513261440372811522863	57713709466866135140060045595900723929999361262146 506503247652953159657	71	235.064

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-07T22:02:39	kkmrkkblmbrbk	Manual testing	100000000	10000000000	12	-	skipped known factor: 7096169	-	-	0.122	-	-	41.410%
2022-12-16T02:12:32	Anton Repko	Manual testing	100000000000	120443211520241610			54197177223092372796513261440372811522863	41	135.315	1,247,542	2.80237e-6	2,495,084	79.001%

ECM factoring results:

Total ECM effort:	38.462 GHz-days
Estimated T-Level:	40.561

Digits	B1	Complete	FacMiss
20	11000	1,089.750	0.000%
25	50000	269.675	0.000%
30	250000	51.642	0.000%
35	1000000	7.971	0.035%
40	3000000	1.016	36.200%
45	11000000	0.112	89.381%
50	44000000	0.011	98.930%

ECM Summary

B1	B2	factor	curves	GHz-days
		150064640218475601809231	1	0.00000e+0
50000	5000000		355	0.049
250000	25000000		2	0.001
350000	35000000		6	0.006
400000	40000000		1	0.001
950000	95000000		5	0.013
1000000	100000000		1,389	3.800
3000000	300000000		4,215	34.59

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-29T02:24:00	ANONYMOUS	Manual testing			150064640218475601809231	76.990		1		1	-
2009-04-03T13:42:00	Matthias Wurtinger	WUR_E6600	50000	5000000						50	0.007
2009-06-01T23:40:00	Rob_Dee	twopc	50000	5000000						230	0.031
2009-07-11T04:02:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-12T04:25:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-12T20:31:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-13T01:56:00	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-26T15:16:00	Rob_Dee	twopc	50000	5000000						19	0.003
2009-07-28T05:51:00	Rob_Dee	twopc	50000	5000000						19	0.003
2009-07-28T18:58:00	Rob_Dee	twopc	250000	25000000						2	0.001
2009-07-28T22:34:00	Rob_Dee	twopc	50000	5000000						19	0.003
2009-07-29T08:08:00	Rob_Dee	twopc	950000	95000000						1	0.003
2009-07-30T10:12:00	Rob_Dee	twopc	950000	95000000						1	0.003
2009-07-31T09:03:00	Rob_Dee	twopc	950000	95000000						1	0.003
2009-08-01T03:08:00	Rob_Dee	twopc	950000	95000000						1	0.003
2009-08-02T18:52:00	Rob_Dee	twopc	400000	40000000						1	0.001
2009-08-02T22:25:00	Rob_Dee	twopc	350000	35000000						3	0.003
2009-08-04T10:41:00	Rob_Dee	twopc	950000	95000000						1	0.003
2009-08-05T12:17:00	Rob_Dee	twopc	350000	35000000						3	0.003
2009-08-08T19:13:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-09T20:30:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-11T16:36:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-13T20:52:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-14T19:29:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-14T23:49:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-16T00:14:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-17T14:45:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-18T15:36:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-19T12:05:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-20T10:54:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-21T10:47:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-22T00:38:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-24T00:51:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-24T14:29:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-24T23:55:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-25T14:34:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-25T14:43:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-25T14:49:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-28T10:08:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-29T09:00:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-30T08:02:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-30T18:28:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-08-31T10:18:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-01T08:56:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-02T11:29:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-03T08:34:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-04T09:13:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-05T09:35:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-05T16:16:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-05T22:50:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-06T08:38:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-08T09:13:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-11T08:58:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-12T09:11:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-12T23:22:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-14T12:17:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-15T10:07:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-16T11:23:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-17T10:52:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-18T12:08:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-19T13:43:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-20T08:46:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-21T09:36:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-22T09:07:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-23T09:20:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-24T14:27:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2009-09-25T14:22:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2010-01-11T01:35:00	Rob_Dee	twopc	1000000	100000000						1	0.003
2010-01-21T15:21:00	Rob_Dee	twopc	1000000	100000000						10	0.027
2010-01-22T23:45:00	Rob_Dee	twopc	1000000	100000000						10	0.027
2010-01-23T20:50:00	Rob_Dee	twopc	1000000	100000000						10	0.027
2010-01-25T14:13:00	Rob_Dee	twopc	1000000	100000000						10	0.027
2010-05-20T08:06:00	James Hintz	OMFG	1000000	100000000						1300	3.556
2011-01-02T00:49:00	James Hintz	home2	3000000	300000000						3	0.025
2011-04-19T23:51:00	James Hintz	lappy_010411	3000000	300000000						11	0.090
2011-04-21T06:04:00	James Hintz	17_051310	3000000	300000000						11	0.090
2016-11-19T01:45:29	James Hintz	11_04_2016	3000000	300000000						100	0.821
2019-02-10T10:51:21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.025
2019-02-12T00:44:19	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-02-13T13:19:04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-02-15T02:07:55	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-02-16T16:09:11	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-02-18T04:46:17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-02-19T18:44:17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-02-21T06:56:34	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-02-22T20:47:58	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-02-24T11:18:07	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-02-25T23:20:53	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-02-27T13:00:40	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-01T03:26:58	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.025
2019-03-02T15:16:34	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-04T03:54:30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-05T17:46:05	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-07T05:38:54	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-08T08:14:41	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-09T04:11:51	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-10T06:53:44	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-11T15:16:14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-13T02:36:18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.025
2019-03-14T13:39:53	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-16T12:31:07	storm5510	3570_Ivy_Bridge	3000000	300000000						3	0.025
2019-03-18T22:02:51	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-20T10:32:44	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-22T00:56:14	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.025
2019-03-23T22:28:15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-25T20:22:30	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-03-27T13:38:53	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.025
2019-04-01T15:53:56	alex	newwork	3000000	300000000						4000	32.83

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