M58904299 Mersenne number exponent details

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M58904299

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is 2 ^58904299 - 1

has 17731961 decimal digits

takes 130.858 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	32.4738	64.3836%	545000	10218750	3.4533	4.0510%	35.9271	65.8264%	1.4428%
PrimeNet	2⁶⁹	2.0268	62.3188%	260000	12000000	2.8979	5.6381%	4.9247	64.4433%	2.1245%
GPU72	2⁷³	32.4738	64.3836%	400000	14000000	3.6753	4.1435%	36.1491	65.8593%	1.4758%
Difference	-	-	-	+145000	-3781250	-0.2220	-0.0925%	-0.2220	-0.0329%	-0.0329%

Known prime factors (1 factor, 89.8 bits, 0.00015240% 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
58904299	1054496884269077555419118839	28	89.769	8950933142155528881 3 × 7² × 43 × 8161 × 78989 × 2196709	2012-08-08	78989	2196709	2,718,544	0.6261	0.7201

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-08-08T08:40:00	Jwb52z	Clay	545000	10218750			1054496884269077555419118839	28	89.769	3.453	261.7	6.907	4.051%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	2.03707e-5	-	-
2000-02-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	4.07414e-5	-	-
2000-06-23T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-06-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.000	-	-
2002-11-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.001	-	-
2003-07-30T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2004-01-18T00:00:00	1997rj7	v4_computers	2¹	2⁶⁰		-	-	0.003	-	-
2008-11-10T22:31:00	curtisc	v4_computers	2¹	2⁷⁰		-	-	4.057	-	-
2008-11-18T00:00:00	curtisc	v4_computers	2¹	2⁷⁰		-	-	4.057	-	-
2011-10-20T23:11:00	rlake	Manual testing	2⁷⁰	2⁷¹		-	-	4.060	-	-
2012-07-19T21:45:00	Craig Meyers	Manual testing	2⁷¹	2⁷³		-	-	24.36	-	-

ECM factoring results:
No ECM results for M58904299

Lucas-Lehmer results:
No L-L results for M58904299

PRP results:
No PRP results for M58904299

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 = 545000, B2 = 10218750 (P-1 stage 2)

B1 = 545000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷³

2⁷¹

2⁷⁰

2⁶⁰

2⁵⁹

2⁵⁸

2⁵⁷

2⁵⁶

2⁵⁴

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2012-08-08T08:40:56+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