M62996041 Mersenne number exponent details

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M62996041

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is 2 ^62996041 - 1

has 18963698 decimal digits

takes 147.982 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	2⁷³	30.3645	64.3836%	-	-	-	-	30.3645	64.3836%	1.5264%
PrimeNet	2⁷⁰	3.7931	62.8571%	260000	12000000	3.0643	5.1528%	6.8574	64.7710%	1.9139%
GPU72	2⁷⁴	60.7318	64.8649%	400000	13000000	3.7007	3.7293%	64.4326	66.1752%	1.3103%
Difference	-1	-30.3673	-0.4813%	-400000	-13000000	-3.7007	-3.7293%	-34.0681	-1.7916%	-1.7916%

Known prime factors (1 factor, 87.5 bits, 0.00013890% 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
62996041	218792201673683490864635023	27	87.500	1736555172361414671 3 × 7 × 23 × 149 × 661 × 85133 × 428801	2013-07-17	85133	428801	567,646	0.3538	0.5902

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-07-17T16:09:00	Youcef L	haller					218792201673683490864635023	27	87.500	-	296.0	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-07-21T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁹		-	-	0.001	-	-
2009-02-06T13:54:00	Wojciech Florek	armada4	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-02-22T03:39:00	ANONYMOUS		2⁶⁴	2⁶⁵		-	-	0.059	-	-
2009-08-12T08:11:00	SAHS Science Dept	old_laptop	2⁶⁵	2⁶⁶		-	-	0.119	-	-
2009-09-12T14:25:00	SAHS Science Dept	old_laptop	2⁶⁶	2⁶⁷		-	-	0.237	-	-
2009-09-17T06:09:00	Donna Noble	E4500	2⁶⁷	2⁶⁸		-	-	0.474	-	-
2009-09-21T11:48:00	willmore	trans	2⁶⁸	2⁶⁹		-	-	0.949	-	-
2012-04-02T01:17:00	nadine	malfoyportw	2⁶⁹	2⁷⁰		-	-	1.898	-	-
2013-03-16T06:13:00	LaurV	Manual testing	2⁷⁰	2⁷¹		-	-	3.796	-	-
2013-04-12T08:09:00	Bodge	Manual testing	2⁷¹	2⁷²		-	-	7.592	-	-
2013-04-15T22:39:00	For Research	Manual testing	2⁷²	2⁷³		-	-	15.18	-	-

ECM factoring results:
Exponent "62996041" not found

Lucas-Lehmer results:
Exponent "62996041" not found

PRP results:
Exponent "62996041" 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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-07-17T16:09:20+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