M6 998 177 Mersenne number exponent details

≡

is 2 ^6998177 - 1

has 2106662 decimal digits

takes 1.526 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	4.2460	65.6716%	-	-	-	-	4.2460	65.6716%
Target	2⁶⁷	4.2460	65.6716%	45000	7200000	0.1375	2.2404%	4.3834	66.4407%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2404%	-0.1375	-0.7691%

Known prime factors (1 factor, 25.3 bits, 0.00036186% 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
6998177	41989063	8	25.324	3 3	-	1	3	6.392e-13	3.506e-7	6.435e-7

P-1 results:
No P-1 results for M6998177

Trial Factoring results:
No TF results for M6998177

ECM factoring results:
No ECM results for M6998177

Lucas-Lehmer results:
No L-L results for M6998177

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Chang Chia-Tche

homura

41989063

3C981288D420B8__

no

2019-02-22

kkmrkkblmbrbk

c5.large

41989063

3C981288D420B832

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

10⁰

10¹

10²

TF factor-bounds graph:

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-06-05T21:50:05+00:00