M90723697 Mersenne number exponent details

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M90723697

<<<

is 2 ^90723697 - 1

has 27310555 decimal digits

takes 305.856 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	84.3430	64.0000%	10000	10000	0.0489	0.0912%	84.3919	64.0328%	2.0610%
PrimeNet	2⁷¹	5.2696	61.9718%	400000	18000000	6.6428	5.5495%	11.9124	64.0822%	2.1104%
GPU72	2⁷⁵	84.3430	64.0000%	600000	20000000	8.0999	4.0611%	92.4429	65.4620%	1.4620%
Difference	-	-	-	-590000	-19990000	-8.0510	-3.9698%	-8.0510	-1.4291%	-1.4291%

Known prime factors (1 factor, 74.4 bits, 0.00008206% 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
90723697	25737172880635507752199	23	74.446	141843717417267 3² × 2179 × 7232865097	2018-11-05	2179	7232865097	45.155	1,926.4	3,597.9

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-03-29T23:29:21	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.091%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-07-28T20:58:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁶		-	-	0.082	-	-
2010-12-01T05:24:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.165	-	-
2011-01-22T12:21:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.329	-	-
2011-04-01T07:41:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.659	-	-
2014-06-03T01:11:00	SMoffat	Manual testing	2⁶⁹	2⁷⁰		-	-	1.318	-	-
2014-11-19T01:01:00	shauge	Manual testing	2⁷⁰	2⁷¹		-	-	2.636	-	-
2016-05-02T10:19:46	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.272	-	-
2017-06-07T17:49:24	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.54	-	-
2018-11-04T18:29:58	penlu	Manual testing	2⁷³	2⁷⁴		-	-	21.09	-	-
2018-11-05T16:00:12	Strolling Jellyfish	Manual testing	2⁷⁴	2⁷⁵	25737172880635507752199	74.446	23	2.985	622.9	6.079

ECM factoring results:
Exponent "90723697" not found

Lucas-Lehmer results:
Exponent "90723697" not found

PRP results:
Exponent "90723697" 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

B1 = 10000 (stage 1)

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-11-05T16:00:12+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