M63959213 Mersenne number exponent details

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M63959213

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is 2 ^63959213 - 1

has 19253642 decimal digits

takes 150.245 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality 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	59.8173	64.8649%	560000	560000	1.9074	1.5764%	61.7247	65.4187%	0.5539%
PrimeNet	2⁷⁰	3.7360	62.8571%	280000	12000000	3.1287	5.2132%	6.8647	64.7935%	1.9363%
GPU72	2⁷⁴	59.8173	64.8649%	400000	14000000	3.8863	3.7906%	63.7036	66.1967%	1.3318%
Difference	-	-	-	+160000	-13440000	-1.9789	-2.2143%	-1.9789	-0.7780%	-0.7780%

Known prime factors (1 factor, 76.6 bits, 0.00011975% 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
63959213	114035318020389132058193	24	76.594	891469052475592 2³ × 17 × 37 × 167 × 27919 × 37997	2013-07-04	27919	37997	241.97	0.0970	0.1935

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-07-04T01:57:00	Jwb52z	Clay	560000	560000			114035318020389132058193	24	76.594	1.907	300.5	3.815	1.576%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁰		-	-	2.34509e-6	-	-
2003-08-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.001	-	-
2022-03-30T06:43:17	LordJulius	Manual testing	2¹	2⁶³		-	-	0.025	-	-
2009-02-20T13:31:00	Wojciech Florek	gafel	2⁶³	2⁶⁴		-	-	0.031	-	-
2009-03-07T12:26:00	ANONYMOUS		2⁶⁴	2⁶⁵		-	-	0.058	-	-
2009-09-01T01:30:00	Sturle Sunde	gonsha.ifi	2⁶⁵	2⁶⁶		-	-	0.117	-	-
2009-09-03T15:17:00	Romanyuk	Romanyuk-PC	2⁶⁶	2⁶⁷		-	-	0.234	-	-
2009-09-07T12:37:00	Romanyuk	Romanyuk-PC	2⁶⁷	2⁶⁸		-	-	0.467	-	-
2009-09-12T09:59:00	Romanyuk	Romanyuk-PC	2⁶⁸	2⁶⁹		-	-	0.935	-	-
2012-09-24T13:06:00	ktony	Manual testing	2⁶⁹	2⁷³		-	-	28.04	-	-
2013-06-28T23:42:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	29.91	-	-

ECM factoring results:
No ECM results for M63959213

Lucas-Lehmer results:
No L-L results for M63959213

PRP results:
No PRP results for M63959213

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 = 560000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁵⁹

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-30T06:43:17+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