M6 926 177 Mersenne number exponent details

≡

is 2 ^6926177 - 1

has 2084988 decimal digits

takes 1.510 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	4.2901	65.6716%	-	-	-	-	4.2901	65.6716%
Target	2⁶⁷	4.2901	65.6716%	45000	900000	0.0290	2.2366%	4.3190	66.4394%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2366%	-0.0290	-0.7678%

Known prime factors (2 factors, 82.6 bits, 0.00119188% 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
6926177	1100763458257	13	40.002	79464 2³ × 3 × 7 × 11 × 43	-	11	43	2.538e-8	4.029e-6	7.078e-6
6926177	6440402649929	13	42.550	464932 2² × 13 × 8941	2008-09-30	13	8941	1.383e-7	0.0002	0.0003

1 Composite Factors:

P-1 results:
No P-1 results for M6926177

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	6440402649929	42.550	13	5.36849e-8	7.340	2.60895e-7

ECM factoring results:
No ECM results for M6926177

Lucas-Lehmer results:
No L-L results for M6926177

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-20

trebor

Desktop

1100763458257

6440402649929

D8459458CD093D__

no

2019-01-26

ATH

ec2-PRPCFDC

1100763458257

6440402649929

D8459458CD093DE4

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

10⁰

10¹

10²

10³

10⁴

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