M67065407 Mersenne number exponent details

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M67065407

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is 2 ^67065407 - 1

has 20188700 decimal digits

takes 169.526 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

1 primality tests remaining

	Residue	Status
L-L	0395DA7BC61E99__	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	2⁷⁵	114.0962	65.3333%	735000	17823750	6.1065	3.9286%	120.2027	66.6952%	1.3619%
PrimeNet	2⁷⁰	3.5629	62.8571%	280000	13000000	3.5664	5.3195%	7.1293	64.8330%	1.9758%
GPU72	2⁷⁴	57.0468	64.8649%	450000	15000000	4.5549	3.9289%	61.6017	66.2453%	1.3804%
Difference	+1	+57.0494	+0.4685%	+285000	+2823750	+1.5516	-0.0003%	+58.6010	+0.4500%	+0.4500%

Known prime factors:
No known factors for M67065407

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-08-24T02:59:00	Luigi Morelli	Cipo2	735000	17823750		-		-	-	6.107	-	-	3.929%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-11T07:40:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.029	-	-
2010-03-04T10:47:00	jomateix	0105	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2010-03-11T06:21:00	Bob Schulien	PII266	2⁶⁵	2⁶⁶		-	-	0.111	-	-
2010-03-16T09:16:00	ANONYMOUS		2⁶⁶	2⁶⁷		-	-	0.223	-	-
2010-03-24T11:07:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.446	-	-
2010-04-03T01:48:00	TeraTism	S	2⁶⁸	2⁶⁹		-	-	0.891	-	-
2012-04-21T21:24:00	qwertyuio999	AOD250	2⁶⁹	2⁷⁰		-	-	1.783	-	-
2013-06-25T08:20:00	Le Comte	Manual testing	2⁷⁰	2⁷¹		-	-	3.566	-	-
2014-02-23T22:40:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.131	-	-
2014-02-23T22:40:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.26	-	-
2014-11-23T16:14:00	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	28.52	-	-
2015-05-31T15:21:00	Xyzzy	Manual testing	2⁷⁴	2⁷⁵		-	-	57.05	-	-

ECM factoring results:
No ECM results for M67065407

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2015-07-28T20:13:00	doogie44	Mac_Pro	0395DA7BC61E99__	169.5

PRP results:
No PRP results for M67065407

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 = 735000, B2 = 17823750 (P-1 stage 2)

B1 = 735000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-07-28T20:13:00+00:00

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