M46000547 Mersenne number exponent details

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is 2 ^46000547 - 1

has 13847545 decimal digits

takes 73.830 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	2⁶⁷	0.6459	61.1940%	-	-	-	-	0.6459	61.1940%	-0.5707%
PrimeNet	2⁶⁸	1.2957	61.7647%	200000	8000000	1.4544	5.4249%	2.7502	67.1896%	5.4249%
GPU72	2⁷²	20.7896	63.8889%	320000	10000000	1.9721	4.0327%	22.7617	67.9216%	4.0327%
Difference	-5	-20.1437	-2.6949%	-320000	-10000000	-1.9721	-4.0327%	-22.1157	-6.7276%	-6.7276%

Known prime factors (2 factors, 98.1 bits, 0.00021326% 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
46000547	181096793451481	15	47.364	1968420 2² × 3 × 5 × 53 × 619	53	619	-	4.340e-7	0.0002	0.0003
46000547	1877110465026409	16	50.737	20403132 2² × 3 × 37 × 45953	37	45953	2014-06-06	4.116e-6	0.0059	0.0109

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
46000547	181096793451481 1877110465026409	339938686170501040066925161729	30	98.101

P-1 results:
Exponent "46000547" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-06-06T11:41:00	TJAOI	Manual testing	?	?	1877110465026409	50.737	16	8.55384e-7	151.9	1.75948e-6

ECM factoring results:
Exponent "46000547" not found

Lucas-Lehmer results:
Exponent "46000547" not found

PRP results:
Exponent "46000547" 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

TF factor-bounds graph:

2⁶⁷

2

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2014-06-06T11:41:35+00:00