M6 959 167 Mersenne number exponent details

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is 2 ^6959167 - 1

has 2094919 decimal digits

takes 1.517 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	4.2698	65.6716%	-	-	-	-	4.2698	65.6716%
Target	2⁶⁷	4.2698	65.6716%	45000	900000	0.0290	2.2384%	4.2987	66.4400%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2384%	-0.0290	-0.7684%

Known prime factors (1 factor, 55.1 bits, 0.00079126% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6959167	37700020556677663	17	55.065	2708658993 3 × 1999 × 451669	1998-08-24	1999	451669	0.0013	0.0084	0.0145

P-1 results:
No P-1 results for M6959167

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-08-24	ANONYMOUS	v4_computers	?	?	37700020556677663	55.065	17	0.001	7.332	0.003

ECM factoring results:
No ECM results for M6959167

Lucas-Lehmer results:
No L-L results for M6959167

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-29

alan145

Bear1

37700020556677663

42F540F8BFF454__

no

2019-02-11

Ruzovej

Masa_notebook

37700020556677663

42F540F8BFF45499

no

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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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