M90504539 Mersenne number exponent details

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M90504539

<<<

is 2 ^90504539 - 1

has 27244581 decimal digits

takes 305.118 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	84.5472	64.0000%	-	-	-	-	84.5472	64.0000%	2.0282%
PrimeNet	2⁷¹	5.2824	61.9718%	400000	18000000	6.6428	5.5479%	11.9252	64.0816%	2.1098%
GPU72	2⁷⁵	84.5472	64.0000%	600000	20000000	8.0999	4.0599%	92.6471	65.4616%	1.4616%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0599%	-8.0999	-1.4616%	-1.4616%

Known prime factors (1 factor, 74.5 bits, 0.00008235% 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
90504539	27273508321056276073967	23	74.530	150674809365397 43 × 101 × 1181 × 29376559	2017-12-05	1181	29376559	73.356	7.8294	14.613

P-1 results:
Exponent "90504539" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-06-14T06:28:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-08-30T17:02:00	Carsten Kossendey	leela	2⁶⁶	2⁶⁷		-	-	0.165	-	-
2011-01-20T20:54:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.330	-	-
2011-03-22T17:54:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.661	-	-
2014-03-31T02:55:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.321	-	-
2014-09-05T03:51:00	SMoffat	Manual testing	2⁷⁰	2⁷¹		-	-	2.642	-	-
2016-02-21T07:09:56	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.284	-	-
2017-02-23T11:22:58	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.57	-	-
2017-12-05T15:13:42	Merry Dream	Manual testing	2⁷³	2⁷⁴		-	-	21.14	-	-
2017-12-05T15:13:43	Merry Dream	Manual testing	2⁷⁴	2⁷⁵	27273508321056276073967	74.530	23	31.08	621.5	63.31

ECM factoring results:
Exponent "90504539" not found

Lucas-Lehmer results:
Exponent "90504539" not found

PRP results:
Exponent "90504539" 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

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-12-05T15:13:43+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