M62364539 Mersenne number exponent details

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M62364539

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is 2 ^62364539 - 1

has 18773597 decimal digits

takes 146.499 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
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	61.3468	64.8649%	550000	10587500	3.7361	3.7294%	65.0829	66.1752%	3.3181%
PrimeNet	2⁷⁰	3.8315	62.8571%	260000	12000000	3.0643	5.1463%	6.8958	64.7686%	1.9115%
GPU72	2⁷⁴	61.3468	64.8649%	400000	13000000	3.7007	3.7246%	65.0475	66.1735%	1.3086%
Difference	-	-	-	+150000	-2412500	+0.0354	+0.0049%	+0.0354	+0.0017%	+0.0017%

Known prime factors (1 factor, 95.3 bits, 0.00015275% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
62364539	47534549460523374611238927191	29	95.263	381102387853162633105 5 × 7 × 31 × 53³ × 199 × 1583 × 7489457	2013-06-05	148877	7489457	186,166,463	1.8693	2.5959

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-06-05T19:11:00	Team_Inspector	SpudBoy3	550000	10587500			47534549460523374611238927191	29	95.263	3.736	293.0	7.472	3.729%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-06T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2009-01-07T21:13:00	Derek	Derek_Desk	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-02-19T21:29:00	carlos1	1	2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-02-24T05:04:00	carlos1	1	2⁶⁵	2⁶⁶		-	-	0.120	-	-
2009-02-25T18:03:00	Sturle Sunde	fungo.ifi	2⁶⁶	2⁶⁷		-	-	0.240	-	-
2009-03-03T10:38:00	jfarek	Carnegie9	2⁶⁷	2⁶⁸		-	-	0.479	-	-
2009-10-03T02:29:00	id_warrior	durabook	2⁶⁸	2⁶⁹		-	-	0.959	-	-
2011-12-06T17:58:00	ITS	SP-Koko	2⁶⁹	2⁷⁰		-	-	1.917	-	-
2012-10-28T18:00:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	3.834	-	-
2013-03-24T05:01:00	LingUaan	Manual testing	2⁷¹	2⁷²		-	-	7.669	-	-
2013-03-24T05:01:00	LingUaan	Manual testing	2⁷²	2⁷³		-	-	15.34	-	-
2013-05-29T02:37:00	GrunwalderGIMP	Manual testing	2⁷³	2⁷⁴		-	-	30.67	-	-

ECM factoring results:
Exponent "62364539" not found

Lucas-Lehmer results:
Exponent "62364539" not found

PRP results:
Exponent "62364539" 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 = 550000, B2 = 10587500 (P-1 stage 2)

B1 = 550000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-06-05T19:11:44+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