M90004207 Mersenne number exponent details

≡

M90004207

<<<

is 2 ^90004207 - 1

has 27093967 decimal digits

takes 303.431 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	85.0172	64.0000%	-	-	-	-	85.0172	64.0000%	2.0282%
PrimeNet	2⁷¹	5.3117	61.9718%	360000	18000000	6.4579	5.4726%	11.7697	64.0530%	2.0811%
GPU72	2⁷⁵	85.0172	64.0000%	600000	20000000	8.0999	4.0571%	93.1171	65.4606%	1.4606%
Difference	-	-	-	-600000	-20000000	-8.0999	-4.0571%	-8.0999	-1.4606%	-1.4606%

Known prime factors (1 factor, 74.9 bits, 0.00008317% 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
90004207	34105614724956800044441	23	74.852	189466780841460 2² × 3² × 5 × 17 × 61917248641	2016-01-20	17	61917248641	53.549	16,491	30,800

P-1 results:
Exponent "90004207" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-09-18T08:05:00	Carsten Kossendey	durandal	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-10-11T09:03:00	Carsten Kossendey	durandal	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2012-09-14T07:11:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2013-08-02T10:37:00	mhsk	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2013-11-15T11:11:00	Carsten Kossendey	Manual testing	2⁷⁰	2⁷¹		-	-	2.657	-	-
2015-01-01T09:04:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.314	-	-
2016-01-20T09:42:18	Carsten Kossendey	Manual testing	2⁷²	2⁷⁴		-	-	31.88	-	-
2016-01-20T09:42:19	Carsten Kossendey	Manual testing	2⁷⁴	2⁷⁵	34105614724956800044441	74.852	23	11.04	618.1	22.49

ECM factoring results:
Exponent "90004207" not found

Lucas-Lehmer results:
Exponent "90004207" not found

PRP results:
Exponent "90004207" 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

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-01-20T09:42:19+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