M2 656 581 061 Mersenne number exponent details

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is 2 ^2656581061 - 1

has 799710586 decimal digits

takes 409,925.216 GHz-days to do one PRP test

0 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
Actual	2⁶⁸	0.0224	52.9412%	-	-	-	-	0.0224	52.9412%
Target	2⁹⁰	94,385.8037	64.4444%	14000000	4000000000	51,722.2964	4.3086%	146,108.1001	65.9764%
Difference	-22	-94,385.7813	-11.5033%	-14000000	-4000000000	-51,722.2964	-4.3086%	-146,108.0777	-13.0352%

Known prime factors (1 factor, 40.0 bits, 0.00000150% 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
2656581061	1062632424401	13	39.951	200 2³ × 5²	2012-08-20	25	25	4.070e-11	0.0056	0.0114

P-1 results:
No P-1 results for M2656581061

Trial Factoring results:
No TF results for M2656581061

ECM factoring results:
No ECM results for M2656581061

Lucas-Lehmer results:
No L-L results for M2656581061

PRP results:
No PRP results for M2656581061

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-10-02T12:12:48+00:00