M46756693 Mersenne number exponent details

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is 2 ^46756693 - 1

has 14075168 decimal digits

takes 81.175 GHz-days to do one PRP test

Last-known PrimeNet details:
-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	2⁶³	0.0341	58.7302%	-	-	-	-	0.0341	58.7302%	-3.0345%
PrimeNet	2⁶⁸	1.2748	61.7647%	220000	9000000	1.7580	5.6226%	3.0328	67.3873%	5.6226%
GPU72	2⁷²	20.4534	63.8889%	340000	11000000	2.3180	4.1514%	22.7714	68.0403%	4.1514%
Difference	-9	-20.4193	-5.1587%	-340000	-11000000	-2.3180	-4.1514%	-22.7372	-9.3101%	-9.3101%

Known prime factors (1 factor, 83.2 bits, 0.00017785% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
46756693	10770779029347362854145753	26	83.155	115179007948095932 2² × 233 × 937 × 55631 × 2370833	55631	2370833	2010-05-15	65,583	0.4576	0.6073

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2010-05-15T08:35:00	Ge yong	ShengShi_1					10770779029347362854145753	26	83.155	-	162.3	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-03-03T00:00:00	smintheus	v4_computers	?	2⁶⁸		-	-	0.639	-	-

ECM factoring results:
Exponent "46756693" not found

Lucas-Lehmer results:
Exponent "46756693" not found

PRP results:
Exponent "46756693" 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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁸

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2010-05-15T08:35:24+00:00