M90266431 Mersenne number exponent details

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M90266431

<<<

is 2 ^90266431 - 1

has 27172904 decimal digits

takes 304.315 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	2⁷⁵	84.7703	64.0000%	-	-	-	-	84.7703	64.0000%	2.0282%
PrimeNet	2⁷¹	5.2963	61.9718%	360000	18000000	6.4579	5.4746%	11.7542	64.0537%	2.0819%
GPU72	2⁷⁵	84.7703	64.0000%	600000	20000000	8.0999	4.0586%	92.8701	65.4611%	1.4611%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0586%	-8.0999	-1.4611%	-1.4611%

Known prime factors (1 factor, 74.1 bits, 0.00008213% 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
90266431	20748280961854176610601	23	74.135	114928001096300 2² × 5² × 7 × 199 × 6551 × 125941	2018-11-25	6551	125941	62.935	0.0638	0.0652

P-1 results:
Exponent "90266431" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-06-23T21:27:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-11-19T15:48:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2011-01-17T23:46:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.331	-	-
2012-06-15T14:47:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.662	-	-
2013-11-25T07:11:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.325	-	-
2014-09-04T14:37:00	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	2.649	-	-
2015-11-22T09:45:26	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.298	-	-
2016-10-20T11:17:17	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.60	-	-
2018-05-04T02:17:05	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.19	-	-
2018-11-25T15:46:48	TheJudger	Manual testing	2⁷⁴	2⁷⁵	20748280961854176610601	74.135	23	20.55	619.9	41.86

ECM factoring results:
Exponent "90266431" not found

Lucas-Lehmer results:
Exponent "90266431" not found

PRP results:
Exponent "90266431" 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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-25T15:46:48+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