M2 940 257 557 Mersenne number exponent details

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is 2 ^2940257557 - 1

has 885105720 decimal digits

takes 509,474.489 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	0.0203	52.9412%	-	-	-	-	0.0203	52.9412%
Target	2⁹¹	170,558.8941	64.8352%	15000000	4500000000	65,162.8370	4.1287%	235,721.7311	66.2870%
Difference	-23	-170,558.8738	-11.8940%	-15000000	-4500000000	-65,162.8370	-4.1287%	-235,721.7108	-13.3458%

Known prime factors (1 factor, 36.0 bits, 0.00000123% 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
2940257557	70566181369	11	36.038	12 2² × 3	2012-08-20	4	4	3.203e-12	0.0010	0.0020

P-1 results:
No P-1 results for M2940257557

Trial Factoring results:
No TF results for M2940257557

ECM factoring results:
No ECM results for M2940257557

Lucas-Lehmer results:
No L-L results for M2940257557

PRP results:
No PRP results for M2940257557

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

10⁰

10¹

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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