M390883 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	76.0174	71.6418%	60000000	3000000000	3.0950	13.3705%	79.1125	75.4334%	3.7916%
PrimeNet	2⁴⁰	0.0000	52.5000%	4000	120000	0.0001	17.2520%	0.0001	60.6947%	8.1947%
GPU72	2⁴⁴	0.0000	56.8182%	7000	200000	0.0002	12.8077%	0.0003	62.3488%	5.5306%
Difference	+23	+76.0174	+14.8236%	+59993000	+2999800000	+3.0948	+0.5628%	+79.1122	+13.0846%	+13.0846%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
390883	1535660473018377822914937454591	31	100.277	1964347992901172247085365 3 × 5 × 11 × 113 × 3697 × 42201281 × 675275441	2017-01-19	42201281	675275441	4.281e+11	1.0781	1.2073

	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	-	-	1.446%
2002-06-15T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.003	-	-	1.682%
2002-08-24T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.006	-	-	2.399%
2012-07-07T13:43:00	alpertron	Manual testing	10000000	200000000		-		-	-	0.286	-	-	8.599%
2017-01-19T16:27:33	mikr	S052	60000000	3000000000	12		1535660473018377822914937454591	31	100.277	3.095	0.008	6.190	13.370%

	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	-	-
2001-03-05T00:00:00	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	-	-
2008-12-29T23:45:00	Sturle Sunde	gimo.ifi	2⁵⁸	2⁵⁹		-	-	0.098	-	-
2009-01-16T03:43:00	Sturle Sunde	foster.ifi	2⁵⁹	2⁶⁰		-	-	0.196	-	-
2011-11-11T13:51:00	lycorn	asteroid	2⁶⁰	2⁶¹		-	-	0.393	-	-
2015-08-13T13:31:00	NR	Manual testing	2⁶¹	2⁶²		-	-	0.786	-	-
2015-11-18T00:42:15	Gordon Spence	Manual testing	2⁶²	2⁶³		-	-	2.511	-	-
2015-11-18T00:42:15	Gordon Spence	Manual testing	2⁶³	2⁶⁴		-	-	5.023	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	13.151 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:	13.151 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	2.946
250000	25000000		194	10.21

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T00:31:00	Team_Bundu	bundu1	50000	5000000						1	0.011
2007-08-30T16:32:00	Chad Davis	Bayes	50000	5000000						1	0.011
2007-10-01T00:44:00	Chad Davis	Bayes	50000	5000000						1	0.011
2008-01-04T06:42:00	Steve Scott	Abit	50000	5000000						1	0.011
2008-01-04T07:51:00	Steve Scott	Abit	50000	5000000						1	0.011
2008-01-04T09:38:00	Steve Scott	Abit	50000	5000000						1	0.011
2008-03-07T03:31:00	Sturle Sunde	lara	50000	5000000						3	0.032
2008-09-07T02:05:00	Sturle Sunde	v22	50000	5000000						3	0.032
2008-10-15T15:01:00	Sturle Sunde	v23	50000	5000000						3	0.032
2008-11-29T16:46:00	Sturle Sunde	v23	50000	5000000						3	0.032
2009-01-18T02:25:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-02-25T19:37:00	Sturle Sunde	v21	50000	5000000						3	0.032
2009-03-26T03:37:00	linded	kctz73a	50000	5000000						3	0.032
2009-05-16T19:58:00	Sturle Sunde	TOR-ST-0025	50000	5000000						3	0.032
2009-07-02T13:20:00	Architects Cubed	m1_47	50000	5000000						3	0.032
2009-07-08T18:43:00	Architects Cubed	m1_07	50000	5000000						3	0.032
2009-07-24T21:14:00	linded	KCPB8P0-NET214	50000	5000000						3	0.032
2009-08-16T02:19:00	ANONYMOUS	CIT3srvr	50000	5000000						3	0.032
2009-09-12T20:28:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-09-29T01:32:00	JimBa	ISAserv	50000	5000000						3	0.032
2009-10-17T03:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-10-27T22:56:00	Sturle Sunde	TOR-ST-0017	50000	5000000						3	0.032
2009-11-08T06:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-11-20T13:25:00	David Bessell	G810	50000	5000000						3	0.032
2009-12-04T20:40:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2009-12-18T16:24:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-01-02T10:25:00	James Hintz	02_122109	50000	5000000						3	0.032
2010-01-15T16:06:00	James Hintz	03_122109	50000	5000000						3	0.032
2010-01-24T20:38:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-03T05:47:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-02-11T22:58:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-02-27T00:15:00	David Bessell	L301	50000	5000000						3	0.032
2010-03-12T06:00:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2010-03-24T01:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-03T05:54:00	Sturle Sunde	PRECZB31311N6	50000	5000000						3	0.032
2010-04-14T16:44:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-04-26T00:00:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.032
2010-05-07T04:42:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-05-19T07:52:00	James Hintz	17_051310	50000	5000000						3	0.032
2010-05-31T15:02:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-14T16:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-06-28T21:56:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-07-19T05:55:00	Sturle Sunde	TOR-ST-0024	50000	5000000						3	0.032
2010-08-05T02:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-08-22T20:16:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-02T23:26:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-13T04:53:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-09-24T19:31:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-05T21:06:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-10-24T02:35:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-11-03T05:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2010-11-12T03:59:00	josibo	Ziben	50000	5000000						3	0.032
2010-11-26T11:26:00	josibo	Ziben	50000	5000000						3	0.032
2010-12-04T23:12:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-12-11T20:35:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2010-12-14T17:15:00	Sturle Sunde	PRE6S33KN9ZE3KY	50000	5000000						3	0.032
2010-12-24T17:04:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2011-01-19T06:58:00	Jo Yeong Uk	Laptop1	50000	5000000						3	0.032
2011-01-22T02:48:00	Sturle Sunde	PRECZC5060K5N	50000	5000000						3	0.032
2011-01-31T09:47:00	Damian Silvestre	PcMa	50000	5000000						3	0.032
2011-02-10T06:30:00	Carsten Kossendey	mother	50000	5000000						10	0.105
2011-03-07T16:41:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-03-10T05:09:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-03-19T00:40:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-03-30T21:26:00	James Hintz	06_122109	50000	5000000						3	0.032
2011-04-12T02:08:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-04-24T20:59:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2011-05-09T16:28:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-05-19T22:58:00	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.032
2011-05-29T09:26:00	Lukasz Wrobel	w-l	50000	5000000						3	0.032
2011-06-07T20:25:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-06-22T17:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-07-01T18:30:00	Carsten Kossendey	mother	50000	5000000						3	0.032
2011-07-27T06:46:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-08-14T15:30:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-11-02T19:10:00	Lackó	Iroda_Laci_uj	50000	5000000						3	0.032
2011-11-10T03:45:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2011-11-17T20:40:00	Sturle Sunde	TOR-ST-0041	50000	5000000						3	0.032
2012-01-04T02:46:00	Sturle Sunde	FKWXPTESTEIK	50000	5000000						3	0.032
2012-02-04T04:26:00	Sturle Sunde	PRECZB3140ZD8	50000	5000000						3	0.032
2012-03-01T22:38:00	Sturle Sunde	PREUSW40604NL	50000	5000000						3	0.032
2012-03-30T20:32:00	561	561	50000	5000000						3	0.032
2012-05-24T01:55:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-05-28T09:48:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-06-01T17:59:00	MadPoo	IntLAVH03	50000	5000000						3	0.032
2012-10-02T05:13:00	Andriy Makukha	home-i5	50000	5000000						3	0.032
2013-02-05T01:49:00	Le Comte	S761	50000	5000000						27	0.284
2013-07-29T13:58:00	Sergiosi	Manual testing	250000	25000000						194	10.21

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