M59002507 Mersenne number exponent details

Residue

Status

L-L

E9EC4E14E26C89__

needs double-check

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁴	64.8424	64.8649%	1800000	14175000	7.9700	4.4216%	72.8124	66.4184%	1.5535%
PrimeNet	2⁶⁹	2.0234	62.3188%	260000	12000000	2.8979	5.6392%	4.9213	64.4438%	2.1249%
GPU72	2⁷³	32.4197	64.3836%	400000	14000000	3.6753	4.1443%	36.0950	65.8596%	1.4761%
Difference	+1	+32.4227	+0.4813%	+1400000	+175000	+4.2947	+0.2772%	+36.7174	+0.5588%	+0.5588%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁴

64.8424

64.8649%

1800000

14175000

7.9700

4.4216%

72.8124

66.4184%

1.5535%

PrimeNet

2⁶⁹

2.0234

62.3188%

260000

12000000

2.8979

5.6392%

4.9213

64.4438%

2.1249%

GPU72

2⁷³

32.4197

64.3836%

400000

14000000

3.6753

4.1443%

36.0950

65.8596%

1.4761%

Difference

+32.4227

+0.4813%

+1400000

+175000

+4.2947

+0.2772%

+36.7174

+0.5588%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
59002507	648545060135769179748178127	27	89.067	5495911047777759509 137 × 33521 × 759799 × 1575083	2019-05-04	759799	1575083	4,097,475	2.5906	4.9810

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

59002507

648545060135769179748178127

89.067

5495911047777759509
137 × 33521 × 759799 × 1575083

2019-05-04

759799

1575083

4,097,475

2.5906

4.9810

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-04-02T21:36:00	James Heinrich	mumG840	630000	14175000		-		-	-	4.407	-	-	3.995%
2019-05-04T11:27:43	mikr	S052	1800000	14175000			648545060135769179748178127	27	89.067	5.798	262.2	11.60	4.422%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.03368e-5	-	-
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.03368e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.06736e-5	-	-
2000-03-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-02-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2001-12-01T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-08-25T00:00:00	Team Prime Rib	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2016-02-23T17:05:50	Mark Rose	Manual testing	2⁶⁰	2⁶⁴		-	-	0.058	-	-
2008-11-07T18:00:00	Sturle Sunde	celair.ifi	2⁶⁴	2⁶⁵		-	-	0.063	-	-
2008-11-08T06:54:00	S36049	Wolle2	2⁶⁵	2⁶⁶		-	-	0.127	-	-
2008-11-10T06:50:00	korva	dualcore1	2⁶⁶	2⁶⁷		-	-	0.253	-	-
2008-11-12T22:25:00	korva	dualcore1	2⁶⁷	2⁶⁸		-	-	0.507	-	-
2009-06-08T04:25:00	unconnected	winxp-E4600	2⁶⁸	2⁶⁹		-	-	1.013	-	-
2011-05-14T01:30:00	ANONYMOUS	Pricilla	2⁶⁹	2⁷⁰		-	-	2.026	-	-
2011-10-18T21:46:00	Tom Duell	Manual testing	2⁷⁰	2⁷¹		-	-	4.053	-	-
2012-04-08T15:25:00	delta_t	Manual testing	2⁷¹	2⁷³		-	-	24.32	-	-
2014-11-24T09:45:00	srow7	Manual testing	2⁷³	2⁷⁴		-	-	32.42	-	-

date	userid	compid	res64	spent (GHz-days)
2015-08-08T05:13:00	Bruno Victal	5960X-linux	E9EC4E14E26C89__	131.1

date

userid

compid

res64

spent (GHz-days)

2015-08-08T05:13:00

Bruno Victal

5960X-linux

E9EC4E14E26C89__

131.1

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 = 1800000, B2 = 14175000 (P-1 stage 2)

B1 = 1800000 (P-1 stage 1)

B1 = 630000, B2 = 14175000 (P-1 stage 2)

B1 = 630000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

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	<	146M	PrimeNet wavefront