M537781 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	2⁶³	2.9678	68.2540%	1,500,000	50,000,000	0.0876	8.6854%	3.0554	76.9394%	26.9394%
PrimeNet	2⁴⁰	0.0000	50.0000%	5,000	180,000	0.0003	19.4271%	0.0003	69.4271%	19.4271%
GPU72	2⁴⁴	0.0000	54.5455%	9,000	300,000	0.0005	14.6511%	0.0005	69.1966%	14.6511%
Difference	+19	+2.9678	+13.7085%	+1,491,000	+49,700,000	+0.0871	-5.9657%	+3.0548	+7.7428%	+7.7428%

	GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
537781	134410846856739553389755321339818049561	39	126.660	124968013798125587729722062828380 2² × 5 × 13 × 97 × 36263 × 221083 × 231643 × 683713 × 3902489	683,713	3,902,489	2013-10-08	3.540e+11	0.0182	0.0294

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22T00:00:00	ANONYMOUS	v4_computers	2,000	200,000		-		-	-	0.000	-	-	0.426%
2002-01-22T00:00:00	ANONYMOUS	v4_computers	4,096	409,600		-		-	-	0.001	-	-	0.827%
2002-03-03T00:00:00	ANONYMOUS	v4_computers	8,192	819,200		-		-	-	0.001	-	-	1.386%
2002-04-28T00:00:00	ANONYMOUS	v4_computers	16,384	1,638,400		-		-	-	0.002	-	-	2.121%
2002-05-11T00:00:00	ANONYMOUS	v4_computers	50,000	1,000,000		-		-	-	0.002	-	-	2.574%
2002-06-23T00:00:00	ANONYMOUS	v4_computers	32,768	3,276,800		-		-	-	0.004	-	-	3.019%
2002-09-07T00:00:00	ANONYMOUS	v4_computers	65,536	6,553,600		-		-	-	0.009	-	-	4.063%
2003-05-04T00:00:00	ANONYMOUS	v4_computers	131,072	13,107,200		-		-	-	0.018	-	-	5.237%
2011-06-12T13:03:00	Jocelyn Larouche	Manual testing	400,000	400,000		-		-	-	0.008	-	-	2.418%
2011-06-26T19:18:00	Jocelyn Larouche	Manual testing	445,531	445,531		-		-	-	0.009	-	-	2.527%
2011-07-26T07:33:00	Jocelyn Larouche	Manual testing	742,552	742,552		-		-	-	0.016	-	-	3.078%
2012-03-20T06:35:00	c10ck3r	aleman	1,000,000	1,000,000		-		-	-	0.021	-	-	3.426%
2012-07-14T15:56:00	Jocelyn Larouche	Manual testing	1,075,562	1,075,562		-		-	-	0.023	-	-	3.514%
2013-10-08T10:29:00	David Campeau	i5-2500k	1,500,000	50,000,000			134410846856739553389755321339818049561	39	126.660	0.088	0.016	0.175	8.685%
2016-03-16T12:41:28	alpertron	Manual testing	1,500,000	50,000,000	12	-		-	-	0.088	-	-	8.685%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2000-03-22T00:00:00	ANONYMOUS	v4_computers	2⁵³	2⁵⁴		-	-	0.002	-	-
2001-04-01T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	0.018	-	-
2002-01-02T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁷		-	-	0.036	-	-
2003-12-23T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁸		-	-	0.071	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50,000	5,000,000		281	4.533
250,000	25,000,000		44	3.549

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-19T00:28:00	Chad Davis	Bayes	50,000	5,000,000						1	0.016
2007-09-21T18:45:00	Chad Davis	Bayes	50,000	5,000,000						1	0.016
2008-01-13T01:03:00	Team_Bundu	bundu1	50,000	5,000,000						3	0.048
2008-06-18T03:18:00	Sturle Sunde	v17	50,000	5,000,000						3	0.048
2008-10-16T18:33:00	Sturle Sunde	v1	50,000	5,000,000						3	0.048
2008-12-13T21:09:00	Sturle Sunde	v22	50,000	5,000,000						3	0.048
2009-02-21T22:32:00	Sturle Sunde	v21	50,000	5,000,000						3	0.048
2009-04-01T16:47:00	Sturle Sunde	x	50,000	5,000,000						3	0.048
2009-06-19T20:04:00	JPH	diablo	50,000	5,000,000						3	0.048
2009-07-08T20:21:00	For Research	m1_42	50,000	5,000,000						3	0.048
2009-07-26T23:35:00	JimBa	CIT3srvr	50,000	5,000,000						3	0.048
2009-09-10T21:37:00	David Bessell	L301	50,000	5,000,000						3	0.048
2009-10-04T16:32:00	David Bessell	L301	50,000	5,000,000						3	0.048
2009-10-25T10:35:00	linded	KCPB8P0-NET214	50,000	5,000,000						3	0.048
2009-11-09T19:49:00	David Bessell	L301	50,000	5,000,000						3	0.048
2009-11-28T16:33:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-01-04T17:37:00	Sturle Sunde	v26	50,000	5,000,000						3	0.048
2010-01-06T01:29:00	James Hintz	03_122109	50,000	5,000,000						3	0.048
2010-01-22T21:21:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-02-05T07:17:00	James Hintz	09_122109	50,000	5,000,000						3	0.048
2010-02-20T04:18:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-03-11T23:56:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-03-27T16:16:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-04-12T19:28:00	Sturle Sunde	TOR-ST-0017	50,000	5,000,000						3	0.048
2010-05-09T13:03:00	S00858	oberstrasse	50,000	5,000,000						3	0.048
2010-05-15T04:00:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-06-01T01:49:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-06-21T02:32:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-07-16T21:56:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-08-09T19:13:00	Sturle Sunde	00301BB4FC73	50,000	5,000,000						3	0.048
2010-08-30T19:23:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-09-14T17:09:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-09-30T05:59:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2010-10-14T21:21:00	Sturle Sunde	TOR-ST-0025	50,000	5,000,000						3	0.048
2010-10-27T19:36:00	josibo	Ziben	50,000	5,000,000						3	0.048
2010-11-09T20:36:00	Sturle Sunde	PRECZC5060K5N	50,000	5,000,000						3	0.048
2010-11-27T16:25:00	sannerud.com	Jim2010	50,000	5,000,000						3	0.048
2010-12-09T18:55:00	Beat Bucheli	I7	50,000	5,000,000						3	0.048
2010-12-23T17:13:00	Sturle Sunde	PREFRB439035V	50,000	5,000,000						3	0.048
2011-01-08T11:24:00	Damian Silvestre	PcMa	50,000	5,000,000						3	0.048
2011-01-20T20:03:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-02-02T17:47:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-02-17T08:22:00	Damian Silvestre	PcMa	50,000	5,000,000						3	0.048
2011-02-28T19:42:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-03-11T01:03:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-03-23T20:49:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-04-10T17:12:00	Sturle Sunde	PRE6S33KN9ZE3B5	50,000	5,000,000						3	0.048
2011-04-29T20:59:00	Sturle Sunde	PRE0011254B6EE4	50,000	5,000,000						3	0.048
2011-05-17T02:18:00	Sturle Sunde	PRECZB31311N6	50,000	5,000,000						3	0.048
2011-05-30T17:51:00	Lukasz Wrobel	w-l	50,000	5,000,000						3	0.048
2011-06-22T18:11:00	Palkó Tamás Attila		50,000	5,000,000						3	0.048
2011-07-09T02:57:00	Lukasz Wrobel	w-l	50,000	5,000,000						3	0.048
2011-08-02T15:04:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-09-02T23:12:00	Lukasz Wrobel	w-l	50,000	5,000,000						3	0.048
2011-10-23T22:31:00	Sturle Sunde	FKWXPTESTEIK	50,000	5,000,000						3	0.048
2011-12-12T04:09:00	Sturle Sunde	PRECZC5060K5N	50,000	5,000,000						3	0.048
2012-02-04T02:48:00	Sturle Sunde	PRECZC5060K5N	50,000	5,000,000						3	0.048
2012-03-11T21:29:00	Sturle Sunde	PRECZC5060K5N	50,000	5,000,000						3	0.048
2012-05-16T16:57:00	TURKIYE TURKIYE TURKIYE	123	50,000	5,000,000						3	0.048
2012-07-16T21:23:00	Sturle Sunde	TOR-ST-0033	50,000	5,000,000						3	0.048
2012-09-16T01:38:00	Sturle Sunde	PREUSW40604NL	50,000	5,000,000						3	0.048
2013-03-01T18:07:00	HVer	dell	50,000	5,000,000						3	0.048
2013-10-01T17:36:00	lopper	Surface_staples	50,000	5,000,000						3	0.048
2016-04-22T16:24:50	TJAOI	Manual testing	50,000	5,000,000						5	0.081
2016-11-11T16:51:40	TJAOI	Manual testing	50,000	5,000,000						91	1.468
2018-12-07T13:04:42	TJAOI	Manual testing	250,000	25,000,000						44	3.549

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 1,500,000, B2 = 50,000,000 (stage 2)

B1 = 1,500,000 (stage 1)

B1 = 1,075,562 (stage 1)

B1 = 1,000,000 (stage 1)

B1 = 131,072, B2 = 13,107,200 (stage 2)

B1 = 742,552 (stage 1)

B1 = 445,531 (stage 1)

B1 = 65,536, B2 = 6,553,600 (stage 2)

B1 = 400,000 (stage 1)

B1 = 32,768, B2 = 3,276,800 (stage 2)

B1 = 131,072 (stage 1)

B1 = 16,384, B2 = 1,638,400 (stage 2)

B1 = 50,000, B2 = 1,000,000 (stage 2)

B1 = 65,536 (stage 1)

B1 = 8,192, B2 = 819,200 (stage 2)

B1 = 50,000 (stage 1)

B1 = 32,768 (stage 1)

B1 = 4,096, B2 = 409,600 (stage 2)

B1 = 16,384 (stage 1)

B1 = 2,000, B2 = 200,000 (stage 2)

B1 = 8,192 (stage 1)

B1 = 4,096 (stage 1)

B1 = 2,000 (stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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	<	123M	PrimeNet wavefront