M67058347 Mersenne number exponent details

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M67058347

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is 2 ^67058347 - 1

has 20186574 decimal digits

takes 169.509 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	785BE576022FA1__	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	114.1082	65.3333%	725000	16131250	5.7339	3.8455%	119.8421	66.6664%	1.3331%
PrimeNet	2⁷⁰	3.5633	62.8571%	280000	13000000	3.5664	5.3195%	7.1297	64.8329%	1.9758%
GPU72	2⁷⁴	57.0528	64.8649%	450000	15000000	4.5549	3.9288%	61.6077	66.2453%	1.3804%
Difference	+1	+57.0554	+0.4685%	+275000	+1131250	+1.1789	-0.0833%	+58.2344	+0.4212%	+0.4212%

Known prime factors:
No known factors for M67058347

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-09-02T03:45:00	swildner	ultra	725000	16131250		-		-	-	5.734	-	-	3.846%

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	2¹	2⁶⁴		-	-	0.053	-	-
2009-03-31T09:27:00	Loïc Evanno	C8CDB759B	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2009-03-31T17:25:00	TheMasterofDome	Corei7_uber_pc	2⁶⁵	2⁶⁶		-	-	0.111	-	-
2009-04-06T14:05:00	Snyyck		2⁶⁶	2⁶⁷		-	-	0.223	-	-
2009-12-24T13:17:00	marvik	vc1	2⁶⁷	2⁶⁸		-	-	0.446	-	-
2010-02-28T21:33:00	root_slater	f1_rackserver	2⁶⁸	2⁶⁹		-	-	0.891	-	-
2012-02-24T12:35:00	Richard	FX5000_1	2⁶⁹	2⁷⁰		-	-	1.783	-	-
2012-07-26T07:49:00	ANONYMOUS	SrvrUID	2⁷⁰	2⁷¹		-	-	3.566	-	-
2014-02-22T22:39:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.132	-	-
2014-02-22T22:39:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.26	-	-
2014-02-22T22:39:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	28.53	-	-
2015-05-24T14:57:00	Xyzzy	Manual testing	2⁷⁴	2⁷⁵		-	-	57.06	-	-

ECM factoring results:
No ECM results for M67058347

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2015-06-17T12:37:00	Brian Lenhart	GA-Z97X-SLI	785BE576022FA1__	169.5

PRP results:
No PRP results for M67058347

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 = 725000, B2 = 16131250 (P-1 stage 2)

B1 = 725000 (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: 2015-06-17T12:37:00+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