M6 918 161 Mersenne number exponent details

≡

is 2 ^6918161 - 1

has 2082574 decimal digits

takes 1.509 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	4.2951	65.6716%	-	-	-	-	4.2951	65.6716%
Target	2⁶⁷	4.2951	65.6716%	45000	900000	0.0290	2.2362%	4.3240	66.4393%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2362%	-0.0290	-0.7676%

Known prime factors (2 factors, 81.0 bits, 0.00117113% 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
6918161	41508967	8	25.307	3 3	-	1	3	6.466e-13	3.506e-7	6.435e-7
6918161	59096360775443753	17	55.714	4271103316 2² × 419 × 2548391	2015-08-06	419	2548391	0.0009	0.0440	0.0820

1 Composite Factors:

P-1 results:
No P-1 results for M6918161

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-02-10	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	59096360775443753	55.714	17	0.000	7.340	0.001

ECM factoring results:
No ECM results for M6918161

Lucas-Lehmer results:
No L-L results for M6918161

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Oliver Kruse

GTX-7

41508967

59096360775443753

A90E71B16F0E67__

no

2019-01-25

Chang Chia-Tche

exbbbe-lt

41508967

59096360775443753

A90E71B16F0E67B2

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁵⁶

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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