M90013493 Mersenne number exponent details

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M90013493

<<<

is 2 ^90013493 - 1

has 27096762 decimal digits

takes 303.462 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	85.0085	64.0000%	-	-	-	-	85.0085	64.0000%	2.0282%
PrimeNet	2⁷¹	5.3112	61.9718%	360000	18000000	6.4579	5.4727%	11.7691	64.0530%	2.0812%
GPU72	2⁷⁵	85.0085	64.0000%	600000	20000000	8.0999	4.0572%	93.1083	65.4606%	1.4606%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0572%	-8.0999	-1.4606%	-1.4606%

Known prime factors (1 factor, 75.0 bits, 0.00008330% 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
90013493	37379225930359178211089	23	74.985	207631237743208 2³ × 859 × 30214091639	2016-09-22	859	30214091639	57.113	8,047.0	15,030

P-1 results:
Exponent "90013493" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-01-09T19:13:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-02-01T15:01:00	Carsten Kossendey	leela	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-03-20T20:24:00	Carsten Kossendey	mother	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2010-11-30T12:40:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2011-01-10T08:12:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-09-04T14:37:00	Ryan Propper	Manual testing	2⁷⁰	2⁷¹		-	-	2.657	-	-
2015-01-01T09:04:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.313	-	-
2016-06-10T12:24:06	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.63	-	-
2016-09-22T12:18:52	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-
2016-09-22T12:18:52	Carsten Kossendey	Manual testing	2⁷⁴	2⁷⁵	37379225930359178211089	74.985	23	14.61	618.1	29.76

ECM factoring results:
Exponent "90013493" not found

Lucas-Lehmer results:
Exponent "90013493" not found

PRP results:
Exponent "90013493" 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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-09-22T12:18:52+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