M392981 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	75.6116	71.6418%	60000000	3000000000	3.0950	13.3756%	78.7066	75.4349%	3.7931%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2636%	0.0001	60.7002%	8.2002%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.8168%	0.0003	62.3527%	5.5345%
Difference	+23	+75.6116	+14.8236%	+59993000	+2999800000	+3.0948	+0.5587%	+78.7064	+13.0821%	+13.0821%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
392981	528407606417272556745921139201	30	98.738	672306811801680687801600 2⁸ × 3 × 5² × 23 × 8761 × 327401 × 530768041	2017-01-20	327401	530768041	2.249e+11	0.4108	0.7592

	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	-	-	2.407%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.684%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.401%
2012-07-15T16:07:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.603%
2017-01-20T18:18:50	mikr	S052	60000000	3000000000	12		528407606417272556745921139201	30	98.738	3.095	0.008	6.190	13.376%

	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	-	-
2022-03-07T06:43:16	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		-	-	0.098	-	-
2008-12-29T14:49:00	Sturle Sunde	gideon.ifi	2⁵⁸	2⁵⁹		-	-	0.098	-	-
2009-01-12T00:44:00	Sturle Sunde	gaudi.ifi	2⁵⁹	2⁶⁰		-	-	0.195	-	-
2011-02-27T23:10:00	monst	yuengling	2⁶⁰	2⁶¹		-	-	0.391	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.782	-	-
2015-11-19T16:28:21	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.498	-	-
2015-11-19T16:28:21	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	4.996	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.503 GHz-days
Estimated T-Level:	26.117

Digits	B1	Curves	Complete	FacMiss
20	11000	426 / 100	4.260	1.382%
25	50000	426 / 280	1.521	21.781%
30	250000	143 / 640	0.223	79.963%

New Calculation Method

Total ECM effort:	10.503 GHz-days
Estimated T-Level:	26.117

Digits	B1	Complete	FacMiss
20	11000	21.046	0.000%
25	50000	2.548	7.824%
30	250000	0.237	78.918%
35	1000000	0.018	98.236%
40	3000000	0.001	99.888%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		283	2.978
250000	25000000		143	7.524

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T02:27:00	ANONYMOUS	Bayes	50000	5000000						1	0.011
2007-08-30T21:06:00	Chad Davis	Bayes	50000	5000000						1	0.011
2007-10-02T00:23:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-01-05T09:10:00	Team_Bundu	bundu2	50000	5000000						1	0.011
2008-01-05T13:45:00	Steve Scott	Abit	50000	5000000						1	0.011
2008-01-06T16:41:00	Team_Bundu	bundu2	50000	5000000						1	0.011
2008-01-10T08:01:00	Team_Bundu	bundu3	50000	5000000						1	0.011
2008-03-31T16:45:00	Sturle Sunde	v16	50000	5000000						3	0.032
2008-09-16T18:10:00	Sturle Sunde	v23	50000	5000000						3	0.032
2008-11-06T15:55:00	Sturle Sunde	v22	50000	5000000						3	0.032
2008-12-11T00:19:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-02-04T21:01:00	Sturle Sunde	v22	50000	5000000						3	0.032
2009-03-09T09:21:00	linded	kctz74z	50000	5000000						3	0.032
2009-04-07T07:54:00	James Hintz	20_060209	50000	5000000						3	0.032
2009-06-08T16:34:00	Sturle Sunde	TOR-ST-0020	50000	5000000						3	0.032
2009-07-03T13:22:00	JPH	diablo	50000	5000000						3	0.032
2009-07-09T16:02:00	JPH	diablo	50000	5000000						3	0.032
2009-07-27T01:19:00	Architects Cubed	m1_45	50000	5000000						3	0.032
2009-08-31T10:06:00	JimBa	CIT3srvr	50000	5000000						3	0.032
2009-09-20T02:31:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2009-10-06T23:59:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-10-22T07:55:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-11-13T16:50:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-23T07:12:00	happy5214	Happy5214-1	50000	5000000						3	0.032
2009-11-27T18:25:00	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2009-12-11T01:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-27T16:14:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-07T08:30:00	James Hintz	03_122109	50000	5000000						3	0.032
2010-01-20T06:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-29T22:45:00	James Hintz	09_122109	50000	5000000						3	0.032
2010-02-07T20:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-19T22:59:00	Bud	laptop	50000	5000000						3	0.032
2010-03-04T22:52:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-05T00:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-03-28T06:53:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-04-08T20:54:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-24T20:35:00	James Hintz	16_122109	50000	5000000						3	0.032
2010-05-01T15:28:00	Sturle Sunde	TOR-ST-0027	50000	5000000						3	0.032
2010-05-13T21:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-25T19:51:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-06-08T15:41:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-22T21:58:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-07-08T16:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-28T21:03:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-15T05:41:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2010-08-28T23:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-09T08:17:00	ANONYMOUS	09_122109	50000	5000000						3	0.032
2010-09-19T20:24:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-10-01T00:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-11T22:08:00	sannerud.com	Jim2010	50000	5000000						3	0.032
2010-10-21T02:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-31T00:30:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-11-08T19:13:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-23T19:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-02T05:00:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-12-09T03:36:00	Sturle Sunde	PRE6S23JYHZD1NR	50000	5000000						3	0.032
2010-12-19T00:50:00	Sturle Sunde	PREFRB439035V	50000	5000000						3	0.032
2010-12-31T19:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-01-11T03:19:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-01-19T05:48:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-01-27T20:59:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-07T07:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-02-12T05:35:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-16T19:17:00	Sturle Sunde	0020ED7F6D0F	50000	5000000						3	0.032
2011-03-27T14:09:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-04-07T15:10:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-21T04:22:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2011-05-07T21:14:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-05-17T01:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-05-26T01:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-04T21:49:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-06-18T17:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-07-04T01:17:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-24T20:00:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-08-08T23:34:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-08-30T22:54:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2011-10-09T00:01:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-12-01T08:57:00	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.032
2011-12-16T04:56:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-01-26T01:31:00	Sturle Sunde	TOR-ST-0038	50000	5000000						3	0.032
2012-02-23T17:05:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-03-19T04:48:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-05-13T20:16:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2012-05-27T11:27:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-31T20:55:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-09-23T18:25:00	driveByUpgrades	rh	50000	5000000						3	0.032
2013-02-05T18:59:00	Le Comte	S761	50000	5000000						29	0.305
2013-02-06T10:21:00	HVer	dell	50000	5000000						3	0.032
2015-10-28T11:11:48	Bruce	Desk7	250000	25000000						3	0.158
2015-10-29T05:34:57	Bruce	Desk7	250000	25000000						3	0.158
2015-10-30T02:34:27	Bruce	Desk7	250000	25000000						3	0.158
2015-10-30T14:23:12	Bruce	Desk7	250000	25000000						3	0.158
2015-10-31T10:54:38	Bruce	Desk7	250000	25000000						3	0.158
2015-11-01T10:16:55	Bruce	Desk7	250000	25000000						3	0.158
2015-11-02T09:30:56	Bruce	Desk7	250000	25000000						3	0.158
2015-11-03T08:00:34	Bruce	Desk7	250000	25000000						3	0.158
2015-11-04T06:39:30	Bruce	Desk7	250000	25000000						3	0.158
2015-11-05T00:43:36	Bruce	Desk7	250000	25000000						3	0.158
2015-11-05T14:25:47	Bruce	Desk7	250000	25000000						3	0.158
2015-11-06T08:27:30	Bruce	Desk7	250000	25000000						3	0.158
2015-11-06T21:38:01	Bruce	Desk7	250000	25000000						3	0.158
2015-11-07T11:19:03	Bruce	Desk7	250000	25000000						3	0.158
2015-11-09T17:23:23	Bruce	Desk7	250000	25000000						3	0.158
2015-11-20T19:33:27	Bruce	Desk7	250000	25000000						3	0.158
2015-11-28T09:05:00	Bruce	Desk7	250000	25000000						3	0.158
2015-12-05T20:45:15	Bruce	Desk7	250000	25000000						3	0.158
2020-02-17T11:26:08	TJAOI	Manual testing	250000	25000000						89	4.683

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