M87663239 Mersenne number exponent details

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M87663239

<<<

is 2 ^87663239 - 1

has 26389265 decimal digits

takes 295.539 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	2⁶⁷	0.3390	59.7015%	-	-	-	-	0.3390	59.7015%	0.0000%
PrimeNet	2⁷¹	5.4536	61.9718%	360000	17000000	6.1916	5.4012%	11.6452	64.0258%	2.0540%
GPU72	2⁷⁵	87.2875	64.0000%	600000	20000000	8.0999	4.0441%	95.3874	65.4559%	1.4559%
Difference	-8	-86.9486	-4.2985%	-600000	-20000000	-8.0999	-4.0441%	-95.0485	-5.7544%	-5.7544%

Known prime factors (2 factors, 91.0 bits, 0.00010381% 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
87663239	175326479	9	27.385	1 1	2007-08-17	1	1	2.040e-13	4.888e-6	9.949e-6
87663239	14139608709563928169	20	63.616	80647309356 2² × 3 × 269 × 24983677	2017-03-27	269	24983677	0.0309	6.6552	12.428

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
87663239	175326479 14139608709563928169	2479047809485577151279686951	28	91.002

P-1 results:
No P-1 results for M87663239

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2017-03-27T15:23:52	TJAOI	Manual testing	2⁶³	2⁶⁴*	14139608709563928169	63.616	20	0.013	607.7	0.026

ECM factoring results:
No ECM results for M87663239

Lucas-Lehmer results:
No L-L results for M87663239

PRP results:
No PRP results for M87663239

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶⁴

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2017-03-27T15:23:52+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