M374011241 Mersenne number exponent details

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is 2 ^374011241 - 1

has 112588603 decimal digits

takes 6,451.694 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	2⁶⁹	0.3192	57.9710%	-	-	-	-	0.3192	57.9710%	-4.3666%
PrimeNet	2⁷⁷	81.8376	62.3377%	1400000	90000000	155.7572	5.7114%	237.5947	64.4887%	2.1511%
GPU72	2⁸¹	1,309.4080	64.1975%	2200000	90000000	174.6770	4.2418%	1,484.0849	65.7162%	1.5187%
Difference	-12	-1,309.0888	-6.2265%	-2200000	-90000000	-174.6770	-4.2418%	-1,483.7657	-7.7452%	-7.7452%

Known prime factors (2 factors, 136.1 bits, 0.00003640% 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
374011241	255127733487162275449	21	67.790	341069606364 2² × 3 × 503 × 56505899	2014-04-06	503	56505899	0.0892	77.015	143.82
374011241	374875803406924157593	21	68.345	501155797356 2² × 3³ × 743 × 1789 × 3491	2014-04-06	1789	3491	0.2893	0.0471	0.0911

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
374011241	255127733487162275449 374875803406924157593	95641214062387586228125985764173350834257	41	136.135

P-1 results:
Exponent "374011241" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-02-23T08:20:00	For Research	m1_48	2⁶⁴	2⁶⁵		-	-	0.010	-	-
2014-03-24T01:36:00	Gordon Spence	Manual testing	2⁶⁵	2⁶⁶		-	-	0.020	-	-
2014-04-06T15:34:00	Gordon Spence	Manual testing	2⁶⁶	2⁶⁹	255127733487162275449	67.790	21	0.050	13,224	0.102

ECM factoring results:
Exponent "374011241" not found

Lucas-Lehmer results:
Exponent "374011241" not found

PRP results:
Exponent "374011241" 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

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TF factor-bounds graph:

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Last modified: 2014-04-06T15:34:00+00:00