M81282431 Mersenne number exponent details

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M81282431

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is 2 ^81282431 - 1

has 24468450 decimal digits

takes 253.641 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	2⁷⁵	94.1398	64.0000%	680000	680000	3.0768	1.5839%	97.2166	64.5702%	0.5702%
PrimeNet	2⁷¹	5.8817	61.9718%	340000	16000000	5.3989	5.2570%	11.2806	63.9710%	1.9991%
GPU72	2⁷⁵	94.1398	64.0000%	550000	18000000	6.7903	3.8823%	100.9301	65.3976%	1.3976%
Difference	-	-	-	+130000	-17320000	-3.7135	-2.2984%	-3.7135	-0.8274%	-0.8274%

Known prime factors (1 factor, 78.6 bits, 0.00009673% 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
81282431	465065881821653916530959	24	78.622	2860801996815609 3 × 7 × 11 × 2339 × 14081 × 376021	2017-05-28	14081	376021	1,468.6	0.1529	0.1731

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2017-05-29T02:14:40	Jwb52z	Clay	680000	680000			465065881821653916530959	24	78.622	3.077	507.3	6.154	1.584%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-12-12T19:50:00	Architects Cubed	m1_37	2⁶⁴	2⁶⁵		-	-	0.046	-	-
2011-02-17T18:30:00	steinrar	Manual testing	2⁶⁵	2⁶⁷		-	-	0.276	-	-
2011-02-17T18:30:00	steinrar	Manual testing	2⁶⁷	2⁶⁸		-	-	0.368	-	-
2011-02-17T18:30:00	steinrar	Manual testing	2⁶⁸	2⁶⁹		-	-	0.735	-	-
2011-02-17T18:30:00	steinrar	Manual testing	2⁶⁹	2⁷⁰		-	-	1.471	-	-
2011-02-17T18:30:00	steinrar	Manual testing	2⁷⁰	2⁷¹		-	-	2.942	-	-
2016-09-10T05:55:14	Judge Hale	Manual testing	2⁷¹	2⁷²		-	-	5.884	-	-
2016-09-10T05:55:14	Judge Hale	Manual testing	2⁷²	2⁷³		-	-	11.77	-	-
2016-11-12T00:56:43	ANONYMOUS	Manual testing	2⁷³	2⁷⁴		-	-	23.54	-	-
2016-11-12T00:56:43	ANONYMOUS	Manual testing	2⁷⁴	2⁷⁵		-	-	47.07	-	-

ECM factoring results:
No ECM results for M81282431

Lucas-Lehmer results:
No L-L results for M81282431

PRP results:
No PRP results for M81282431

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 = 680000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-05-29T02:14:40+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