M90308021 Mersenne number exponent details

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M90308021

<<<

is 2 ^90308021 - 1

has 27185424 decimal digits

takes 304.455 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	84.7312	64.0000%	-	-	-	-	84.7312	64.0000%	2.0282%
PrimeNet	2⁷¹	5.2939	61.9718%	360000	18000000	6.4579	5.4749%	11.7518	64.0538%	2.0820%
GPU72	2⁷⁵	84.7312	64.0000%	600000	20000000	8.0999	4.0588%	92.8311	65.4612%	1.4612%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0588%	-8.0999	-1.4612%	-1.4612%

Known prime factors (1 factor, 75.0 bits, 0.00008302% 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
90308021	37206244850926875158431	23	74.978	205996346940915 3³ × 5 × 17 × 89758756837	2018-11-25	27	89758756837	55.707	23,906	44,649

P-1 results:
Exponent "90308021" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-09-22T19:15:00	Carsten Kossendey	Manual testing	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-12-25T19:28:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.165	-	-
2011-09-20T05:13:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.331	-	-
2012-05-29T07:17:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.662	-	-
2013-11-29T07:12:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.324	-	-
2014-09-07T19:23:00	ANONYMOUS	Manual testing	2⁷⁰	2⁷¹		-	-	2.648	-	-
2015-12-06T16:31:55	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.296	-	-
2016-11-16T21:14:02	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.59	-	-
2018-05-12T14:34:07	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.18	-	-
2018-11-25T15:47:59	TheJudger	Manual testing	2⁷⁴	2⁷⁵	37206244850926875158431	74.978	23	13.34	620.1	27.18

ECM factoring results:
Exponent "90308021" not found

Lucas-Lehmer results:
Exponent "90308021" not found

PRP results:
Exponent "90308021" 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

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: 2018-11-25T15:47:59+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