M88801663 Mersenne number exponent details

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M88801663

<<<

is 2 ^88801663 - 1

has 26731965 decimal digits

takes 299.377 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	0.3346	59.7015%	-	-	-	-	0.3346	59.7015%	0.0000%
PrimeNet	2⁷¹	5.3837	61.9718%	360000	17000000	6.1916	5.4096%	11.5753	64.0290%	2.0572%
GPU72	2⁷⁵	86.1685	64.0000%	600000	20000000	8.0999	4.0505%	94.2684	65.4582%	1.4582%
Difference	-8	-85.8339	-4.2985%	-600000	-20000000	-8.0999	-4.0505%	-93.9338	-5.7567%	-5.7567%

Known prime factors (2 factors, 100.6 bits, 0.00011323% 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
88801663	385754424073	12	38.489	2172 2² × 3 × 181	2007-08-18	4	181	6.062e-10	6.669e-5	8.980e-5
88801663	4818149476500822199	19	62.063	27128711973 3 × 11 × 337 × 2439413	2016-06-24	337	2439413	0.0133	0.6513	1.2135

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
88801663	385754424073 4818149476500822199	1858622476405201114686218396527	31	100.552

P-1 results:
No P-1 results for M88801663

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-06-24T16:27:13	TJAOI	Manual testing	2⁶²	2⁶³*	4818149476500822199	62.063	19	0.006	615.3	0.013

ECM factoring results:
No ECM results for M88801663

Lucas-Lehmer results:
No L-L results for M88801663

PRP results:
No PRP results for M88801663

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

TF factor-bounds graph:

2⁶⁷

2⁶³

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-06-24T16:27:13+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