M67271599 Mersenne number exponent details

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M67271599

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is 2 ^67271599 - 1

has 20250770 decimal digits

takes 170.048 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	775AF4AF8E1588__	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	113.7465	64.0000%	605000	11797500	4.4526	3.5304%	118.1991	65.2709%	1.2709%
PrimeNet	2⁷⁰	3.5520	61.4286%	280000	13000000	3.5664	5.3215%	7.1184	63.4812%	2.0526%
GPU72	2⁷⁴	56.8719	63.5135%	450000	15000000	4.5549	3.9304%	61.4269	64.9476%	1.4341%
Difference	+1	+56.8746	+0.4865%	+155000	-3202500	-0.1024	-0.4000%	+56.7722	+0.3234%	+0.3234%

Known prime factors:
No known factors for M67271599

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-10-02T15:47:00	Nesowa	MC	605000	11797500		-		-	-	4.453	-	-	3.530%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-13T17:16:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.029	-	-
2009-12-29T20:49:00	ANONYMOUS	Robs	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2010-02-28T07:58:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.111	-	-
2010-03-01T06:09:00	Vasiliy	Server	2⁶⁶	2⁶⁷		-	-	0.222	-	-
2010-07-06T00:45:00	GrunwalderGIMP	compute-0-7	2⁶⁷	2⁶⁸		-	-	0.444	-	-
2010-07-07T03:44:00	ANONYMOUS	_	2⁶⁸	2⁶⁹		-	-	0.889	-	-
2012-05-22T16:17:00	sikafarmi_rendering_farm	Manual testing	2⁶⁹	2⁷⁰		-	-	1.777	-	-
2013-09-04T17:01:00	Axelsson	Manual testing	2⁷⁰	2⁷¹		-	-	3.555	-	-
2013-09-04T17:01:00	Axelsson	Manual testing	2⁷¹	2⁷²		-	-	7.109	-	-
2013-09-04T23:40:00	Axelsson	Manual testing	2⁷²	2⁷³		-	-	14.22	-	-
2013-09-04T23:40:00	Axelsson	Manual testing	2⁷³	2⁷⁴		-	-	28.44	-	-
2015-06-21T13:11:00	Xyzzy	Manual testing	2⁷⁴	2⁷⁵		-	-	56.87	-	-

ECM factoring results:
No ECM results for M67271599

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2016-02-27T18:38:20	Bernard van der Helm	Linux	775AF4AF8E1588__	170.0

PRP results:
No PRP results for M67271599

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 = 605000, B2 = 11797500 (P-1 stage 2)

B1 = 605000 (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: 2016-02-27T18:38:20+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