M90188047 Mersenne number exponent details

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M90188047

<<<

is 2 ^90188047 - 1

has 27149308 decimal digits

takes 304.051 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	84.8439	64.0000%	-	-	-	-	84.8439	64.0000%	2.0282%
PrimeNet	2⁷¹	5.3009	61.9718%	360000	18000000	6.4579	5.4740%	11.7588	64.0535%	2.0817%
GPU72	2⁷⁵	84.8439	64.0000%	600000	20000000	8.0999	4.0581%	92.9438	65.4609%	1.4609%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0581%	-8.0999	-1.4609%	-1.4609%

Known prime factors (1 factor, 74.6 bits, 0.00008275% 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
90188047	29302081806277673160769	23	74.633	162449918703072 2⁵ × 3² × 7² × 11 × 13 × 80499817	2018-11-25	49	80499817	67.875	21.440	40.043

P-1 results:
Exponent "90188047" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-09-11T08:05:00	Carsten Kossendey	mother	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-11-15T15:44:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2011-08-28T05:14:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.331	-	-
2012-05-20T07:10:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.663	-	-
2013-11-18T14:12:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.326	-	-
2014-09-04T20:21:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.651	-	-
2015-07-10T08:04:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.303	-	-
2016-08-28T15:17:28	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.61	-	-
2018-01-15T14:06:37	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.21	-	-
2018-11-25T15:48:26	TheJudger	Manual testing	2⁷⁴	2⁷⁵	29302081806277673160769	74.633	23	25.45	619.3	51.85

ECM factoring results:
Exponent "90188047" not found

Lucas-Lehmer results:
Exponent "90188047" not found

PRP results:
Exponent "90188047" 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

10⁰

10¹

10²

10⁰

10¹

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: 2018-11-25T15:48:26+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