M39527687 Mersenne number exponent details

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is 2 ^39527687 - 1

has 11899020 decimal digits

takes 58.262 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	8CDEA969BA2CF98A	double-checked
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	2⁷²	24.1940	63.8889%	475000	12587500	2.4256	4.3591%	26.6196	65.4630%	3.6983%
PrimeNet	2⁶⁸	1.5079	61.7647%	170000	6500000	1.1004	5.0084%	2.6083	63.6797%	1.9150%
GPU72	2⁷²	24.1940	63.8889%	260000	8000000	1.4569	3.6707%	25.6510	65.2144%	1.3255%
Difference	-	-	-	+215000	+4587500	+0.9687	+0.6884%	+0.9687	+0.2486%	+0.2486%

Known prime factors:
No known factors for M39,527,687

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2007-08-14T00:00:00	Stefan Rink	v4_computers	475000	12587500		-		-	-	2.426	-	-	4.359%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-03-05T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵⁶		-	-	0.000	-	-
2006-10-24T00:00:00	curtisc	v4_computers	?	2⁶⁸		-	-	0.756	-	-
2013-10-11T22:46:00	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	1.512	-	-
2014-12-07T10:37:00	Gordon Spence	Manual testing	2⁶⁹	2⁷⁰		-	-	3.025	-	-
2014-12-07T10:37:00	Gordon Spence	Manual testing	2⁷⁰	2⁷¹		-	-	6.050	-	-
2014-12-07T10:37:00	Gordon Spence	Manual testing	2⁷¹	2⁷²		-	-	12.10	-	-

ECM factoring results:
Exponent "39527687" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2007-09-13T00:00:00	Stefan Rink	v4_computers	8CDEA969BA2CF98A	58.26
2017-04-09T23:16:50	Chuck	Maingear_i7-970	8CDEA969BA2CF98A	58.26
2017-04-13T09:09:51	ATH	5960X	8CDEA969BA2CF98A	58.26
2017-05-07T13:21:52	kracker	Back	8CDEA969BA2CF98A	58.26

PRP results:
Exponent "39527687" not found

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 = 475000, B2 = 12587500 (stage 2)

B1 = 475000 (stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-05-07T13:21:52+00:00