M47626037 Mersenne number exponent details

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is 2 ^47626037 - 1

has 14336866 decimal digits

takes 82.684 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

1 L-L tests remaining

	Residue	Status
L-L	A11B185E142FDA__	needs double-check
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	0.6239	61.1940%	800000	800000	2.0139	3.7733%	2.6378	62.6583%	0.8936%
PrimeNet	2⁶⁸	1.2515	61.7647%	220000	9000000	1.7580	5.6355%	3.0095	63.9195%	2.1548%
GPU72	2⁷²	20.0801	63.8889%	340000	11000000	2.3180	4.1611%	22.3980	65.3915%	1.5026%
Difference	-5	-19.4562	-2.6949%	+460000	-10200000	-0.3041	-0.3878%	-19.7602	-2.7332%	-2.7332%

Known prime factors (1 factor, 88.8 bits, 0.00018645% 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
47626037	537933081092334292774343681	27	88.798	5647468432995320320 2⁹ × 5 × 17 × 29 × 157 × 167 × 1181 × 144511	2018-04-21	1181	144511	2,370,318	0.0226	0.0370

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-11-28T12:33:00	ANONYMOUS		745000	745000		-		-	-	1.875	-	-	3.683%
2018-04-21T18:13:53	ixfd64	andromeda	800000	800000			537933081092334292774343681	27	88.798	2.014	165.4	4.028	3.773%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-04-03T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁹		-	-	1.255	-	-
2015-07-28T21:50:00	Gordon Spence	Manual testing	2⁶⁹	2⁷⁰		-	-	2.510	-	-
2015-09-13T00:48:00	Sid & Andy	Manual testing	2⁷⁰	2⁷¹		-	-	5.021	-	-
2015-11-02T10:50:05	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	10.04	-	-
2017-11-12T21:21:22	RichD0	Manual testing	2⁷²	2⁷³		-	-	20.08	-	-

ECM factoring results:
Exponent "47626037" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2011-04-22T12:53:00	Kasperczak Martin	Serveur	A11B185E142FDA__	82.68

PRP results:
Exponent "47626037" 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 = 800000 (P-1 stage 1)

B1 = 745000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-04-21T18:13:53+00:00