M90047663 Mersenne number exponent details

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M90047663

<<<

is 2 ^90047663 - 1

has 27107048 decimal digits

takes 303.577 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	2⁷⁴	42.4871	63.5135%	38000	380000	0.2768	1.0301%	42.7640	63.8894%	1.9175%
PrimeNet	2⁷¹	5.3092	61.9718%	360000	18000000	6.4579	5.4730%	11.7671	64.0531%	2.0813%
GPU72	2⁷⁵	84.9762	64.0000%	600000	20000000	8.0999	4.0574%	93.0761	65.4607%	1.4607%
Difference	-1	-42.4891	-0.4865%	-562000	-19620000	-7.8230	-3.0273%	-50.3121	-1.5713%	-1.5713%

Known prime factors (1 factor, 74.4 bits, 0.00008257% 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
90047663	24097400094846645123049	23	74.351	133803584079948 2² × 3² × 29 × 233 × 1753 × 313783	2018-07-08	1753	313783	81.555	0.0917	0.1561

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:49	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.111%
2018-07-08T14:37:38	One Man	i5-540	38000	380000			24097400094846645123049	23	74.351	0.277	607.2	0.554	1.030%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-02-14T06:37:00	Carsten Kossendey	durandal	2⁶⁵	2⁶⁶		-	-	0.083	-	-
2010-10-26T10:08:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-11-13T21:54:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2012-07-18T11:02:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2013-11-15T11:11:00	Carsten Kossendey	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2014-12-11T18:58:00	JakeW	Manual testing	2⁷⁰	2⁷¹		-	-	2.656	-	-
2015-01-13T08:06:00	Carsten Kossendey	Manual testing	2⁷¹	2⁷²		-	-	5.311	-	-
2016-06-28T20:14:02	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-09-25T09:19:30	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.24	-	-

ECM factoring results:
Exponent "90047663" not found

Lucas-Lehmer results:
Exponent "90047663" not found

PRP results:
Exponent "90047663" 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 = 38000, B2 = 380000 (stage 2)

B1 = 38000 (stage 1)

B1 = 10000 (stage 1)

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-07-08T14:37:38+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