M45721331 Mersenne number exponent details

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is 2 ^45721331 - 1

has 13763493 decimal digits

takes 73.382 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	2⁶⁷	0.6499	61.1940%	490000	10657500	2.4295	6.9330%	3.0794	63.8844%	2.1197%
PrimeNet	2⁶⁸	1.3037	61.7647%	200000	8000000	1.4544	5.4208%	2.7581	63.8374%	2.0726%
GPU72	2⁷²	20.9166	63.8889%	320000	10000000	1.9721	4.0296%	22.8886	65.3440%	1.4551%
Difference	-5	-20.2667	-2.6949%	+170000	+657500	+0.4574	+2.9034%	-19.8092	-1.4596%	-1.4596%

Known prime factors (1 factor, 70.8 bits, 0.00015487% 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
45721331	2068776071860350403687	22	70.809	22623751612353 3 × 61 × 90031 × 1373161	2012-09-10	90031	1373161	7.3692	0.3722	0.4264

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-09-10T16:51:00	Jwb52z	Clay	490000	10657500			2068776071860350403687	22	70.809	2.430	146.8	4.859	6.933%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-14T00:00:00	Jocelyn Larouche	v4_computers	?	2⁵⁴		-	-	5.24885e-5	-	-
2007-02-20T00:00:00	1997rj7	v4_computers	?	2⁶³		-	-	0.021	-	-
2007-12-31T00:00:00	RMAC9.5	v4_computers	?	2⁶⁸		-	-	0.654	-	-
2011-10-26T20:06:00	Dubslow	Manual testing	2⁶⁸	2⁶⁹		-	-	1.308	-	-
2011-10-26T20:06:00	Dubslow	Manual testing	2⁶⁹	2⁷⁰		-	-	2.615	-	-

ECM factoring results:
Exponent "45721331" not found

Lucas-Lehmer results:
Exponent "45721331" not found

PRP results:
Exponent "45721331" 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 = 490000, B2 = 10657500 (P-1 stage 2)

B1 = 490000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶³

2⁵⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2012-09-10T16:51:54+00:00