M85 351 129 Mersenne number exponent details

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is 2 ^85351129 - 1

has 25693250 decimal digits

takes 274.902 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁶⁷	0.3481	59.7015%	-	-	-	-	0.3481	59.7015%
Target	2⁷⁵	89.6521	64.0000%	550000	19000000	7.2631	3.9461%	96.9152	65.4206%
Difference	-8	-89.3040	-4.2985%	-550000	-19000000	-7.2631	-3.9461%	-96.5671	-5.7191%

Known prime factors (1 factor, 58.7 bits, 0.00006874% 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
85351129	458247387502843649	18	58.669	2684483456 2⁷ × 23 × 547 × 1667	2008-09-06	547	1667	0.0005	0.0028	0.0052

P-1 results:
No P-1 results for M85351129

Trial Factoring results:
No TF results for M85351129

ECM factoring results:
No ECM results for M85351129

Lucas-Lehmer results:
No L-L results for M85351129

PRP results:
No PRP results for M85351129

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

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

this exponent TF target: 75

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00