M62610367 Mersenne number exponent details

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M62610367

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is 2 ^62610367 - 1

has 18847599 decimal digits

takes 147.076 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality 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	2⁷³	30.5516	64.3836%	585000	10968750	3.9196	4.1747%	34.4711	65.8704%	1.4869%
PrimeNet	2⁷⁰	3.8165	62.8571%	260000	12000000	3.0643	5.1488%	6.8807	64.7696%	1.9124%
GPU72	2⁷⁴	61.1059	64.8649%	400000	13000000	3.7007	3.7264%	64.8067	66.1741%	1.3093%
Difference	-1	-30.5544	-0.4813%	+185000	-2031250	+0.2189	+0.4483%	-30.3355	-0.3037%	-0.3037%

Known prime factors (1 factor, 99.2 bits, 0.00015851% 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
62610367	749699401052880357165420424001	30	99.242	5987022892334111036000 2⁵ × 5³ × 47 × 139 × 11243 × 26959 × 755879	2013-04-08	26959	755879	2.934e+9	0.2271	0.2620

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-04-08T10:57:00	Jwb52z	Clay	585000	10968750			749699401052880357165420424001	30	99.242	3.920	294.2	7.839	4.175%

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	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T01:49:02	LordJulius	Manual testing	2¹	2⁶³		-	-	0.025	-	-
2009-01-30T09:40:00	Wojciech Florek	Manual testing	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-08-12T23:48:00	ANONYMOUS		2⁶⁴	2⁶⁵		-	-	0.060	-	-
2009-10-17T20:03:00	ANONYMOUS		2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-10-18T07:18:00	Sturle Sunde	v22	2⁶⁶	2⁶⁷		-	-	0.239	-	-
2009-10-21T07:42:00	FCG Primes	RFTDELL_4_Office	2⁶⁷	2⁶⁸		-	-	0.477	-	-
2009-10-27T06:57:00	rhutson4997		2⁶⁸	2⁶⁹		-	-	0.955	-	-
2011-12-13T06:41:00	ITS	MartinTwo	2⁶⁹	2⁷⁰		-	-	1.910	-	-
2013-02-21T23:41:00	Jerry Hallett	Manual testing	2⁷⁰	2⁷¹		-	-	3.819	-	-
2013-02-21T23:41:00	Jerry Hallett	Manual testing	2⁷¹	2⁷²		-	-	7.639	-	-
2013-02-21T23:41:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	15.28	-	-

ECM factoring results:
No ECM results for M62610367

Lucas-Lehmer results:
No L-L results for M62610367

PRP results:
No PRP results for M62610367

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 = 585000, B2 = 10968750 (P-1 stage 2)

B1 = 585000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-30T01:49:02+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