M382867 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	77.6090	71.6418%	60000000	3000000000	3.0950	13.3508%	80.7040	75.4279%	3.7861%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2071%	0.0001	60.6734%	8.1734%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.7722%	0.0003	62.3335%	5.5153%
Difference	+23	+77.6090	+14.8236%	+59993000	+2999800000	+3.0948	+0.5786%	+80.7038	+13.0944%	+13.0944%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
382867	662270076752982106265954233	27	89.098	864882683481446698548 2² × 3 × 883 × 53393887 × 1528705099	2016-12-22	53393887	1528705099	492,458,518	1.8804	2.1867

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-11-10T00:00:00	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.001	-	-	1.440%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.676%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.391%
2012-07-27T11:35:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.583%
2016-12-22T17:53:16	mikr	S058	60000000	3000000000	12		662270076752982106265954233	27	89.098	3.095	0.007	6.190	13.351%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-07-06T03:32:58	George Woltman	Manual testing	30000000	3060000000	2	7			-	-	2.527

	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	-	-
2022-03-07T06:37:23	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.025	-	-
2002-01-28T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.050	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.100	-	-
2009-01-05T22:40:00	Sturle Sunde	fungo.ifi	2⁵⁸	2⁵⁹		-	-	0.100	-	-
2009-01-09T18:32:00	Sturle Sunde	ghini.ifi	2⁵⁹	2⁶⁰		-	-	0.201	-	-
2011-11-16T00:40:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.401	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.802	-	-
2015-11-23T18:13:49	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.564	-	-
2015-11-23T18:13:49	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	5.128	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.137 GHz-days
Estimated T-Level:	26.516

Digits	B1	Curves	Complete	FacMiss
20	11000	474 / 100	4.740	0.853%
25	50000	474 / 280	1.693	18.344%
30	250000	194 / 640	0.303	73.833%

New Calculation Method

Total ECM effort:	13.137 GHz-days
Estimated T-Level:	26.516

Digits	B1	Complete	FacMiss
20	11000	25.199	0.000%
25	50000	3.154	4.269%
30	250000	0.303	73.894%
35	1000000	0.023	97.698%
40	3000000	0.001	99.851%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.943
250000	25000000		194	10.19

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-13T18:04:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-08-30T01:13:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-09-26T23:38:00	James Heinrich	WHS	50000	5000000						1	0.011
2007-12-31T20:35:00	Steve Scott	Abit	50000	5000000						1	0.011
2007-12-31T22:09:00	Steve Scott	Abit	50000	5000000						1	0.011
2007-12-31T22:46:00	Chad Davis	Bayes	50000	5000000						1	0.011
2007-12-31T23:21:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-03-03T19:49:00	Team_Bundu	bundu3	50000	5000000						3	0.032
2008-09-14T03:15:00	Sturle Sunde	v21	50000	5000000						3	0.032
2008-10-24T21:32:00	Jayson King	atlas	50000	5000000						3	0.032
2008-12-04T18:05:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-01-26T13:50:00	Sturle Sunde	v17	50000	5000000						3	0.032
2009-03-02T21:20:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-03-29T04:52:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-05-22T00:11:00	JPH	diablo	50000	5000000						3	0.032
2009-07-06T17:02:00	Architects Cubed	m1_56	50000	5000000						3	0.032
2009-07-09T00:40:00	Architects Cubed	m1_60	50000	5000000						3	0.032
2009-07-25T09:11:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-08-16T01:37:00	JimBa	NASsrvr	50000	5000000						3	0.032
2009-09-13T13:09:00	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2009-09-28T14:30:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-10-16T17:07:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-10-27T00:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-10-27T01:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-19T00:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-19T01:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-15T23:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-31T17:17:00	James Hintz	11_122109	50000	5000000						3	0.032
2010-01-12T06:47:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.032
2010-01-22T17:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-01T05:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-09T08:20:00	James Hintz	18_012210	50000	5000000						3	0.032
2010-02-21T16:29:00	David Bessell	L301	50000	5000000						3	0.032
2010-03-07T17:11:00	David Bessell	L301	50000	5000000						3	0.032
2010-03-20T05:32:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-30T01:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-09T23:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-22T00:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-02T14:53:00	Matteo2D		50000	5000000						3	0.032
2010-05-14T02:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-25T20:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-07T23:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-21T20:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-07T05:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-26T20:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-11T23:43:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-26T21:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-07T16:35:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-17T10:35:00	sannerud.com	Jim2010	50000	5000000						3	0.032
2010-09-28T15:22:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-09T16:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-18T03:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-27T01:23:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-11-05T17:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-14T20:06:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-11-28T16:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-06T13:21:00	Kamil_Górski	thefault	50000	5000000						3	0.032
2010-12-13T21:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-26T02:09:00	Sturle Sunde	00301BB4FC73	50000	5000000						3	0.032
2011-01-06T03:05:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-01-15T02:12:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-01-22T17:23:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-02-01T03:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-11T05:36:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-02-20T20:31:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-20T06:26:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-03-30T01:28:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-04-10T15:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-23T01:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-09T15:26:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-05-18T04:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-27T00:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-05T07:58:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-06-18T21:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-07-04T01:18:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-20T21:48:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-08-28T03:40:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-10-04T00:31:00	Sturle Sunde	PRE2UA5180CQ8	50000	5000000						3	0.032
2011-10-10T05:11:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.032
2011-11-16T16:14:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.032
2011-12-13T02:02:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2012-01-18T01:25:00	Sturle Sunde	TOR-ST-0033	50000	5000000						3	0.032
2012-02-17T20:27:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2012-03-13T23:15:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-04-30T17:34:00	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.032
2012-05-26T03:01:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-30T08:04:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-06-03T13:28:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-11-04T06:45:00	driveByUpgrades	rh	50000	5000000						3	0.032
2013-02-01T01:46:00	Le Comte	S761	50000	5000000						20	0.210
2013-06-21T21:43:00	Sergiosi	Manual testing	250000	25000000						194	10.19

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