M66367757 Mersenne number exponent details

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is 2 ^66367757 - 1

has 19978686 decimal digits

takes 167.763 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	57.6465	64.8649%	-	-	-	-	57.6465	64.8649%	2.0077%
PrimeNet	2⁷⁰	3.6004	62.8571%	280000	13000000	3.5664	5.3127%	7.1668	64.8304%	1.9733%
GPU72	2⁷⁴	57.6465	64.8649%	450000	15000000	4.5549	3.9237%	62.2014	66.2435%	1.3786%
Difference	-	-	-	-450000	-15000000	-4.5549	-3.9237%	-4.5549	-1.3786%	-1.3786%

Known prime factors (1 factor, 107.3 bits, 0.00016169% 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
66367757	200900021324011554246993658164583	33	107.308	1513536319481247153244863 3² × 101 × 953 × 4253 × 5279 × 220469 × 352973	2013-07-27	220469	352973	2.664e+9	0.8345	1.6446

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-07-27T10:18:00	Youcef L	haller					200900021324011554246993658164583	33	107.308	-	335.5	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-09T00:14:00	1997rj7	Manual testing	?	2⁶⁴		-	-	0.030	-	-
2009-12-02T17:38:00	Inhumierer	dome	2⁶⁴	2⁶⁵		-	-	0.056	-	-
2009-12-05T19:18:00	steinrar	dfi	2⁶⁵	2⁶⁶		-	-	0.113	-	-
2009-12-06T17:49:00	Sturle Sunde	gonsha.ifi	2⁶⁶	2⁶⁷		-	-	0.225	-	-
2009-12-07T21:26:00	unconnected	winxp-E4600	2⁶⁷	2⁶⁸		-	-	0.450	-	-
2009-12-09T01:41:00	unconnected	winxp-E4600	2⁶⁸	2⁶⁹		-	-	0.901	-	-
2013-04-30T16:35:00	rduerr	Manual testing	2⁶⁹	2⁷²		-	-	12.61	-	-
2013-05-13T22:41:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.41	-	-
2013-05-13T22:41:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	28.82	-	-

ECM factoring results:
Exponent "66367757" not found

Lucas-Lehmer results:
Exponent "66367757" not found

PRP results:
Exponent "66367757" 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

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

Last modified: 2013-07-27T10:18:43+00:00