M394987 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	75.2276	71.6418%	10000000	200000000	0.2861	8.6071%	75.5137	74.0826%	2.4408%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2746%	0.0001	60.7054%	8.2054%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.8256%	0.0003	62.3565%	5.5383%
Difference	+23	+75.2276	+14.8236%	+9993000	+199800000	+0.2858	-4.2185%	+75.5134	+11.7261%	+11.7261%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
394987	133620945279573634091464647967	30	96.754	169146003893259314979309 3 × 7 × 5167 × 116533541 × 13376824907	2015-11-03	116533541	13376824907	5.706e+10	11.794	19.134

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-06-23T00:00:00	ANONYMOUS	v4_computers	100000	4000000		-		-	-	0.004	-	-	2.409%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.686%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.403%
2012-07-20T11:25:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.607%

	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	-	-
2022-03-07T06:43:19	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.006	-	-
2001-03-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.024	-	-
2002-01-22T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.049	-	-
2004-01-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.097	-	-
2009-01-05T21:49:00	Sturle Sunde	interavia.ifi	2⁵⁸	2⁵⁹		-	-	0.097	-	-
2009-01-27T19:20:00	Sturle Sunde	ginara.ifi	2⁵⁹	2⁶⁰		-	-	0.194	-	-
2011-11-12T09:56:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.389	-	-
2015-08-25T13:23:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.778	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.527 GHz-days
Estimated T-Level:	26.125

Digits	B1	Curves	Complete	FacMiss
20	11000	424 / 100	4.240	1.410%
25	50000	424 / 280	1.514	21.937%
30	250000	144 / 640	0.225	79.838%

New Calculation Method

Total ECM effort:	10.527 GHz-days
Estimated T-Level:	26.125

Digits	B1	Complete	FacMiss
20	11000	21.032	0.000%
25	50000	2.551	7.798%
30	250000	0.238	78.858%
35	1000000	0.018	98.228%
40	3000000	0.001	99.887%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		280	2.947
250000	25000000		141	7.421
250000	25000000	133620945279573634091464647967	3	0.158

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T04:17:00	ANONYMOUS	Bayes	50000	5000000						1	0.011
2007-08-31T01:28:00	Chad Davis	Bayes	50000	5000000						1	0.011
2007-10-02T18:07:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-02-16T16:51:00	Chad Davis	Bayes	50000	5000000						3	0.032
2008-03-07T18:06:00	Scott Kurowski	UW1	50000	5000000						3	0.032
2008-09-09T20:00:00	Sturle Sunde	v22	50000	5000000						3	0.032
2008-10-17T14:38:00	Sturle Sunde	v21	50000	5000000						3	0.032
2008-12-01T05:23:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-01-21T17:20:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-03-01T01:07:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-03-28T03:57:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-05-21T20:05:00	JPH	diablo	50000	5000000						3	0.032
2009-07-06T14:37:00	Architects Cubed	m1_52	50000	5000000						3	0.032
2009-07-08T23:07:00	Architects Cubed	m1_50	50000	5000000						3	0.032
2009-07-26T17:09:00	JimBa	NASsrvr	50000	5000000						3	0.032
2009-08-23T15:22:00	JimBa	NASsrvr	50000	5000000						3	0.032
2009-09-16T10:29:00	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2009-10-02T05:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-10-20T05:43:00	David Bessell	L301	50000	5000000						3	0.032
2009-10-29T18:09:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-11-10T22:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-23T14:31:00	David Bessell	G810	50000	5000000						3	0.032
2009-12-08T16:20:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-08T17:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-04T19:06:00	James Hintz	13_122109	50000	5000000						3	0.032
2010-01-18T18:41:00	James Hintz	11_122109	50000	5000000						3	0.032
2010-01-27T21:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-06T03:33:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-16T02:37:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-03T00:31:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-03-15T23:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-26T21:27:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.032
2010-04-07T05:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-18T22:25:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.032
2010-04-29T05:51:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-11T18:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-23T20:59:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-06T05:48:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-20T16:27:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-06T17:39:00	Sturle Sunde	PRE6S32KN9Z73F9	50000	5000000						3	0.032
2010-07-26T17:18:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-12T05:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-27T05:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-08T04:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-21T16:15:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-30T03:34:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-11T03:19:00	Sturle Sunde	0020ED7F6D0F	50000	5000000						3	0.032
2010-10-20T15:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-30T00:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-08T02:53:00	josibo	Ziben	50000	5000000						3	0.032
2010-11-20T05:43:00	josibo	Ziben	50000	5000000						3	0.032
2010-12-03T00:37:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-12-09T01:23:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-18T18:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-31T01:19:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-11T00:40:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.032
2011-01-19T03:35:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.032
2011-02-07T07:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-13T14:13:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-01T21:39:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-03-16T06:00:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-03-27T05:17:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-04-07T05:02:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-04-21T20:07:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-05T21:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-17T16:08:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.032
2011-05-26T16:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-05T03:36:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-19T02:09:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2011-07-03T13:28:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-22T04:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-10T05:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-09-06T18:14:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.032
2011-10-11T19:42:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.032
2011-11-21T02:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-01-29T02:33:00	Sturle Sunde	PRE0011254B6EE4	50000	5000000						3	0.032
2012-02-09T17:05:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-02-26T19:49:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-03-27T01:53:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.032
2012-05-24T00:44:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-28T00:37:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-06-01T09:24:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-09-28T21:55:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2013-02-03T15:16:00	Sergiosi	Manual testing	50000	5000000						30	0.316
2015-10-28T04:25:00	Bruce	Desk7	250000	25000000						3	0.158
2015-10-29T04:15:15	Bruce	Desk7	250000	25000000						3	0.158
2015-10-29T15:38:17	Bruce	Desk7	250000	25000000						3	0.158
2015-10-30T11:38:37	Bruce	Desk7	250000	25000000						3	0.158
2015-10-31T08:57:50	Bruce	Desk7	250000	25000000						3	0.158
2015-11-01T08:32:50	Bruce	Desk7	250000	25000000						3	0.158
2015-11-02T08:06:41	Bruce	Desk7	250000	25000000						3	0.158
2015-11-03T06:08:52	Bruce	Desk7	250000	25000000	133620945279573634091464647967	96.754	3	2		3	0.158
2019-01-04T14:24:14	TJAOI	Manual testing	250000	25000000						20	1.053
2020-06-22T09:18:06	TJAOI	Manual testing	250000	25000000						100	5.263

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