M391451 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	75.9071	71.6418%	60000000	3000000000	3.0950	13.3719%	79.0022	75.4338%	3.7920%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2551%	0.0001	60.6962%	8.1962%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.8102%	0.0003	62.3498%	5.5317%
Difference	+23	+75.9071	+14.8236%	+59993000	+2999800000	+3.0948	+0.5617%	+79.0019	+13.0840%	+13.0840%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
391451	445223535760951474108537273	27	88.525	568683610159319396436 2² × 3 × 29 × 853 × 1241549 × 1543044931	2017-01-19	1241549	1543044931	165,544,476	1.1983	2.2072

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-11-14T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.001	-	-	1.446%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.683%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.400%
2012-07-09T15:47:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.600%
2017-01-19T13:19:45	mikr	S052	60000000	3000000000	12		445223535760951474108537273	27	88.525	3.095	0.008	6.190	13.372%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-12-01T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.006	-	-
2022-03-07T06:43:13	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.025	-	-
2002-01-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.049	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.098	-	-
2009-01-06T11:59:00	Sturle Sunde	ghibu.ifi	2⁵⁸	2⁵⁹		-	-	0.098	-	-
2009-01-16T14:05:00	Sturle Sunde	foster.ifi	2⁵⁹	2⁶⁰		-	-	0.196	-	-
2011-02-28T03:12:00	monst	yuengling	2⁶⁰	2⁶¹		-	-	0.392	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.785	-	-
2015-11-18T00:42:15	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.508	-	-
2015-11-18T00:42:15	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	5.015	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.837 GHz-days
Estimated T-Level:	26.172

Digits	B1	Curves	Complete	FacMiss
20	11000	430 / 100	4.300	1.328%
25	50000	430 / 280	1.536	21.471%
30	250000	150 / 640	0.234	79.092%

New Calculation Method

Total ECM effort:	10.837 GHz-days
Estimated T-Level:	26.172

Digits	B1	Complete	FacMiss
20	11000	21.532	0.000%
25	50000	2.624	7.254%
30	250000	0.245	78.245%
35	1000000	0.019	98.164%
40	3000000	0.001	99.883%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.946
250000	25000000		150	7.891

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T07:08:00	ATH	homerjay	50000	5000000						1	0.011
2007-08-30T17:36:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-10-01T13:50:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-01-04T17:11:00	Steve Scott	Asus-1	50000	5000000						1	0.011
2008-01-04T19:11:00	Steve Scott		50000	5000000						1	0.011
2008-01-04T20:47:00	Steve Scott	Asus-1	50000	5000000						1	0.011
2008-01-04T23:31:00	James Heinrich	WHS	50000	5000000						1	0.011
2008-03-27T07:46:00	paulie	iMac3.4	50000	5000000						3	0.032
2008-09-16T01:22:00	Sturle Sunde	v21	50000	5000000						3	0.032
2008-10-31T05:13:00	Sturle Sunde	v22	50000	5000000						3	0.032
2008-12-15T18:03:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-02-03T05:18:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-03-07T20:31:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-04-06T21:02:00	James Hintz	14_060209	50000	5000000						3	0.032
2009-06-01T20:42:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.032
2009-07-07T19:51:00	Architects Cubed	m1_62	50000	5000000						3	0.032
2009-07-09T10:12:00	Architects Cubed	m1_62	50000	5000000						3	0.032
2009-07-27T00:43:00	Architects Cubed	m1_43	50000	5000000						3	0.032
2009-08-30T20:16:00	JimBa	NASsrvr	50000	5000000						3	0.032
2009-09-19T01:36:00	JimBa	CIT3srvr	50000	5000000						3	0.032
2009-10-05T17:45:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-10-21T19:23:00	David Bessell	G810	50000	5000000						3	0.032
2009-10-31T18:30:00	alpertron	core2quad	50000	5000000						3	0.032
2009-11-12T18:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-26T08:33:00	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2009-12-10T00:58:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-25T06:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-06T00:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-19T22:16:00	James Hintz	03_122109	50000	5000000						3	0.032
2010-01-28T22:20:00	James Hintz	09_122109	50000	5000000						3	0.032
2010-02-06T21:11:00	James Hintz	09_122109	50000	5000000						3	0.032
2010-02-17T03:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-03T12:31:00	David Bessell	L301	50000	5000000						3	0.032
2010-03-16T20:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-27T03:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-07T16:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-19T01:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-12T20:59:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-05-23T20:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-05T22:29:00	Sturle Sunde	PRE6S2CKN9ZD4EE	50000	5000000						3	0.032
2010-06-19T23:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-06T03:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-12T00:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-25T21:24:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-11T15:46:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-26T19:11:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-07T08:16:00	sannerud.com	Jim2010	50000	5000000						3	0.032
2010-09-18T04:30:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.032
2010-09-29T19:57:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-10-10T04:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-19T04:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-29T04:05:00	Sturle Sunde	00301BB4FC73	50000	5000000						3	0.032
2010-11-06T22:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-18T17:57:00	josibo	Ziben	50000	5000000						3	0.032
2010-11-30T16:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-08T10:43:00	Kamil_Górski	thefault	50000	5000000						3	0.032
2010-12-16T18:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-29T02:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-08T21:52:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-01-17T06:13:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-01-25T19:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-04T16:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-11T06:22:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-14T04:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-03-23T01:05:00	Kamil_Górski	thefault	50000	5000000						3	0.032
2011-04-03T16:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-17T00:20:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.032
2011-05-13T17:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-17T01:34:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-05-23T10:57:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-06-02T02:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-13T22:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-07-01T16:51:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-16T00:57:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-03T09:23:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-08-22T05:16:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-09-27T23:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-11-23T06:18:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2012-02-23T18:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-03-19T19:55:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-05-14T01:32:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2012-05-27T10:47:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-31T20:37:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-09-21T06:13:00	Andriy Makukha	home-i5	50000	5000000						3	0.032
2013-02-03T02:46:00	HVer	dell	50000	5000000						3	0.032
2013-02-04T19:19:00	Le Comte	N200	50000	5000000						25	0.263
2013-10-13T13:10:00	lycorn	asteroid	250000	25000000						150	7.891

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