M2 133 987 833 Mersenne number exponent details

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is 2 ^2133987833 - 1

has 642394349 decimal digits

takes 329,286.178 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	2⁶³	0.0007	50.7937%	-	-	-	-	0.0007	50.7937%
Target	2⁸⁹	58,749.9925	65.1685%	11000000	3000000000	38,897.4988	4.2558%	97,647.4913	66.6509%
Difference	-26	-58,749.9918	-14.3749%	-11000000	-3000000000	-38,897.4988	-4.2558%	-97,647.4905	-15.8573%

Known prime factors (1 factor, 37.4 bits, 0.00000175% 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
2133987833	183522953639	12	37.417	43 43	2012-08-20	1	43	9.458e-12	0.0007	0.0009

P-1 results:
No P-1 results for M2133987833

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-01			2³⁷	2³⁸	183522953639	37.417	12	8.78417e-13	122,225	1.82398e-12

ECM factoring results:
No ECM results for M2133987833

Lucas-Lehmer results:
No L-L results for M2133987833

PRP results:
No PRP results for M2133987833

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

10²

10³

TF factor-bounds graph:

2⁶³

2³⁸

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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