M90001337 Mersenne number exponent details

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is 2 ^90001337 - 1

has 27093103 decimal digits

takes 303.421 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	2⁷¹	5.3119	61.9718%	1455000	1455000	7.1126	3.3184%	12.4245	63.2338%	1.2619%
PrimeNet	2⁷¹	5.3119	61.9718%	360000	18000000	6.4579	5.4726%	11.7698	64.0530%	2.0811%
GPU72	2⁷⁵	85.0199	64.0000%	600000	20000000	8.0999	4.0571%	93.1198	65.4606%	1.4606%
Difference	-4	-79.7080	-2.0282%	+855000	-18545000	-0.9873	-0.7387%	-80.6953	-2.2268%	-2.2268%

Known prime factors (1 factor, 74.7 bits, 0.00008298% 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
90001337	30275491157952984566993	23	74.681	168194674474408 2³ × 3119 × 27527 × 244877	2014-10-01	27527	244877	74.788	0.1924	0.2739

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2014-10-01T14:27:00	voigt	Manual testing	1455000	1455000			30275491157952984566993	23	74.681	7.113	606.8	14.23	3.318%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-06-10T14:50:00	Carsten Kossendey	durandal	2⁶⁶	2⁶⁷		-	-	0.166	-	-
2009-07-10T20:02:00	Carsten Kossendey	leela	2⁶⁷	2⁶⁸		-	-	0.332	-	-
2009-11-13T04:14:00	Carsten Kossendey	durandal	2⁶⁸	2⁶⁹		-	-	0.664	-	-
2010-08-05T17:25:00	David Kevin Britt	Manual testing	2⁶⁹	2⁷⁰		-	-	1.328	-	-
2011-03-13T23:22:00	Carsten Kossendey	Manual testing	2⁷⁰	2⁷¹		-	-	2.657	-	-

ECM factoring results:
Exponent "90001337" not found

Lucas-Lehmer results:
Exponent "90001337" not found

PRP results:
Exponent "90001337" 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 = 1455000 (stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2014-10-01T14:27:28+00:00