M90194723 Mersenne number exponent details

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M90194723

<<<

is 2 ^90194723 - 1

has 27151318 decimal digits

takes 304.073 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	84.8377	64.0000%	-	-	-	-	84.8377	64.0000%	2.0282%
PrimeNet	2⁷¹	5.3005	61.9718%	360000	18000000	6.4579	5.4740%	11.7584	64.0535%	2.0817%
GPU72	2⁷⁵	84.8377	64.0000%	600000	20000000	8.0999	4.0582%	92.9375	65.4609%	1.4609%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0582%	-8.0999	-1.4609%	-1.4609%

Known prime factors (1 factor, 74.2 bits, 0.00008226% 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
90194723	21607328992446123657959	23	74.194	119781558575473 3359 × 3517 × 10139291	2018-11-25	3517	10139291	59.615	2.7167	5.0436

P-1 results:
Exponent "90194723" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-06-23T11:28:00	Carsten Kossendey	leela	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-10-08T00:34:00	Carsten Kossendey	mother	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-12-20T21:41:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.331	-	-
2011-04-19T05:11:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.663	-	-
2013-11-20T08:14:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.326	-	-
2014-03-14T20:36:00	NoWhereMan	i7-3930K	2⁷⁰	2⁷¹		-	-	2.651	-	-
2015-01-25T09:03:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.302	-	-
2016-09-04T10:24:57	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.60	-	-
2018-01-15T14:06:39	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.21	-	-
2018-11-25T15:48:09	TheJudger	Manual testing	2⁷⁴	2⁷⁵	21607328992446123657959	74.194	23	17.20	619.4	35.03

ECM factoring results:
Exponent "90194723" not found

Lucas-Lehmer results:
Exponent "90194723" not found

PRP results:
Exponent "90194723" 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: 2018-11-25T15:48:09+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