M90026549 Mersenne number exponent details

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is 2 ^90026549 - 1

has 27100692 decimal digits

takes 303.506 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	42.4971	63.5135%	415000	415000	2.0287	1.4516%	44.5258	64.0431%	2.0713%
PrimeNet	2⁷¹	5.3104	61.9718%	360000	18000000	6.4579	5.4728%	11.7683	64.0530%	2.0812%
GPU72	2⁷⁵	84.9961	64.0000%	600000	20000000	8.0999	4.0573%	93.0960	65.4606%	1.4606%
Difference	-1	-42.4990	-0.4865%	-185000	-19585000	-6.0712	-2.6057%	-48.5702	-1.4175%	-1.4175%

Known prime factors (1 factor, 74.3 bits, 0.00008249% 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
90026549	22651977832386106845959	23	74.262	125807209562071 173 × 1493 × 19867 × 24517	2018-03-14	19867	24517	72.587	0.0984	0.1977

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2018-02-25T21:35:39	c10ck3r	Manual testing	10000	10000		-		-	-	0.049	-	-	0.111%
2018-03-14T14:13:35	One Man	Manual testing	415000	415000	2		22651977832386106845959	23	74.262	2.029	607.0	4.057	1.452%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-10-19T19:38:00	Carsten Kossendey	Manual testing	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2010-11-12T22:40:00	Carsten Kossendey	Manual testing	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2012-05-20T07:10:00	Carsten Kossendey	Manual testing	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2014-03-31T17:29:00	Andreas_Truetsch	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		-	-	5.312	-	-
2016-06-21T13:12:42	Carsten Kossendey	Manual testing	2⁷²	2⁷³		-	-	10.62	-	-
2017-09-04T10:04:31	Carsten Kossendey	Manual testing	2⁷³	2⁷⁴		-	-	21.25	-	-

ECM factoring results:
Exponent "90026549" not found

Lucas-Lehmer results:
Exponent "90026549" not found

PRP results:
Exponent "90026549" 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 = 415000 (stage 1)

B1 = 10000 (stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-03-14T15:20:13+00:00