M13121 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	1000000	3910366209750	60.9259	58.8382%	60.9259	58.8382%	58.8382%
PrimeNet	2⁴⁰	0.0000	65.0000%	500	10000	0.0000	3.3080%	0.0000	66.1578%	1.1578%
GPU72	2⁴⁴	0.0002	68.1818%	500	10000	0.0000	1.3732%	0.0002	68.6188%	0.4369%
Difference	-44	-0.0002	-68.1818%	+999500	+3910366199750	+60.9259	+57.4650%	+60.9258	-9.7805%	-9.7805%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
13121	8883798075151	13	43.014	338533575 3 × 5² × 4513781	-	25	4513781	0.0001	7.033e-5	0.0001
13121	290310479097546074437362605040796310527	39	127.771	11062818348355539762112743123267903 3 × 11 × 17 × 164890111 × 54255232721 × 2204279588033	2021-09-13	54255232721	2204279588033	1.017e+13	49.014	64.145

exponent	prime factors	composite factor	digits	bits*
13121	8883798075151 290310479097546074437362605040796310527	25790596754029444356541780759784533132880250784145 77	52	170.785

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-05T23:25:56	Jocelyn Larouche	Manual testing	1000000	3910366209750		-	skipped known factor: 8883798075151	-	-	60.93	-	-	48.954%

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.825 GHz-days
Estimated T-Level:	36.405

Digits	B1	Curves	Complete	FacMiss
20	11000	3451 / 100	34.510	0.000%
25	50000	3451 / 280	12.325	0.000%
30	250000	3303 / 640	5.161	0.571%
35	1000000	2742 / 1580	1.735	17.623%
40	3000000	1321 / 4700	0.281	75.496%

New Calculation Method

Total ECM effort:	25.825 GHz-days
Estimated T-Level:	36.405

Digits	B1	Complete	FacMiss
20	11000	518.891	0.000%
25	50000	110.757	0.000%
30	250000	19.313	0.000%
35	1000000	2.748	6.403%
40	3000000	0.328	72.036%
45	11000000	0.034	96.653%
50	44000000	0.003	99.686%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		148	0.030
250000	25000000		551	0.567
500000	50000000		10	0.021
1000000	100000000		1,421	5.848
3000000	300000000		321	3.963
3000000	528000000		637	9.81
3000000	528000000	290310479097546074437362605040796310527	363	5.589

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-07T15:39:00	Matthias Wurtinger	AMD_Funzel	50000	5000000						50	0.010
2009-06-07T16:48:00	unconnected	dual5430	250000	25000000						30	0.031
2009-06-08T21:59:00	Rob_Dee	twopc	50000	5000000						80	0.016
2009-07-07T07:42:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07T21:15:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-07T23:51:00	Rob_Dee	twopc	50000	5000000						4	0.001
2009-07-08T06:41:00	Rob_Dee	twopc	50000	5000000						6	0.001
2009-07-09T08:35:00	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-21T14:59:00	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-24T05:51:00	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-27T19:30:00	Rob_Dee	twopc	250000	25000000						10	0.010
2009-07-31T15:53:00	Rob_Dee	twopc	500000	50000000						5	0.010
2009-08-09T22:48:00	Rob_Dee	twopc	500000	50000000						5	0.010
2010-05-24T10:33:00	James Hintz	home2	250000	25000000						481	0.495
2010-12-30T05:02:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-08T16:56:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-11T11:28:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-14T07:05:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-17T06:02:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-20T09:21:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-23T17:27:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-26T22:22:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-01-30T11:02:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-02-03T01:21:00	James Hintz	newestmember	1000000	100000000						3	0.012
2011-04-11T11:05:00	James Hintz	17_051310	1000000	100000000						11	0.045
2017-04-30T20:58:07	kkmrkkblmbrbk	c4.large	1000000	100000000						1380	5.679
2019-02-12T04:26:40	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-14T01:22:59	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-16T00:29:17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-17T22:53:16	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-19T21:46:33	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-21T20:48:12	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-02-23T20:50:33	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-02-25T18:30:50	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-02-27T17:44:40	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-01T16:17:44	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-03T13:53:32	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-05T12:41:10	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-07T11:36:47	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-08T15:18:21	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-09T20:47:07	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-11T12:03:48	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-13T08:44:18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-15T05:27:24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-03-18T03:04:46	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-20T08:07:04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-22T09:02:37	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-24T17:59:21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-03-27T01:48:56	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-29T00:08:59	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-03-30T22:50:45	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-01T22:47:56	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-03T22:48:02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-05T21:49:21	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-07T19:57:55	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-09T20:04:10	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-04-11T18:28:32	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-14T17:41:22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-18T08:09:20	storm5510	HP-Z220-CMT	3000000	300000000						3	0.037
2019-04-21T14:27:17	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-04-24T11:52:04	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-26T09:24:15	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-28T07:49:02	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-04-30T22:34:55	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-05-03T16:26:04	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-06T01:07:36	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-08T12:49:47	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-11T03:23:56	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-13T09:03:54	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-15T02:10:54	Niels_Mache_Nextcloud	SuperDry-X	3000000	300000000						3	0.037
2019-05-17T15:40:37	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-21T04:09:15	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-24T18:33:36	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-05-28T09:32:46	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-01T03:15:41	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-04T17:17:05	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-08T08:16:02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-11T23:29:22	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-15T14:27:02	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-19T04:34:19	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-22T19:52:13	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-26T11:57:41	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-06-30T02:37:58	Niels_Mache_Nextcloud	SuperDry-JP	3000000	300000000						3	0.037
2019-07-14T09:15:51	Niels_Mache_Nextcloud		3000000	300000000						3	0.037
2019-07-22T06:45:37	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-07-24T15:24:33	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-26T23:10:29	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-29T07:15:51	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-07-31T16:18:57	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-03T00:48:36	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-05T11:20:55	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-07T18:07:31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-10T02:15:04	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-12T08:19:19	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-14T15:22:58	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-17T02:03:48	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-19T09:27:38	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-21T19:09:15	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-24T01:39:47	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-26T11:02:36	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-08-28T18:33:06	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-08-31T03:44:52	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-02T11:38:18	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-04T19:58:31	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-07T06:13:18	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-09T14:46:55	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-11T22:20:40	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-14T08:39:20	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-16T15:08:30	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-19T01:09:45	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-21T14:08:07	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-23T22:18:24	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-09-26T07:11:35	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-09-28T16:28:59	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-01T01:11:39	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-03T10:52:54	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-05T20:34:42	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-08T02:12:55	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-10T11:14:47	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-12T21:08:54	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-15T06:44:16	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-17T14:54:50	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-20T00:54:37	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-22T09:58:46	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-24T17:59:03	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-27T04:02:00	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-10-29T11:50:59	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-10-31T19:45:22	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-11-03T03:06:46	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-05T10:01:47	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-07T18:28:46	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2019-11-10T01:40:50	Niels_Mache_Nextcloud	SuperDry3	3000000	300000000						3	0.037
2019-11-12T10:02:51	Niels_Mache_Nextcloud	SuperDry-Y	3000000	300000000						3	0.037
2021-09-13T20:13:44	nordi	sweet16	3000000	528000000	290310479097546074437362605040796310527	127.771	363	2	4821442541923566	363	5.589
2021-09-18T09:27:56	nordi	sweet16	3000000	528000000						637	9.81

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