M6 941 257 Mersenne number exponent details

≡

is 2 ^6941257 - 1

has 2089527 decimal digits

takes 1.514 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	4.2808	65.6716%	-	-	-	-	4.2808	65.6716%
Target	2⁶⁷	4.2808	65.6716%	45000	900000	0.0290	2.2374%	4.3097	66.4397%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2374%	-0.0290	-0.7681%

Known prime factors (1 factor, 56.0 bits, 0.00080649% 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
6941257	71103899059232569	17	55.981	5121831612 2² × 3 × 2477 × 172313	1998-07-21	2477	172313	0.0011	0.0037	0.0055

P-1 results:
No P-1 results for M6941257

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-21	ANONYMOUS	v4_computers	?	?	71103899059232569	55.981	17	0.000	7.336	0.002

ECM factoring results:
No ECM results for M6941257

Lucas-Lehmer results:
No L-L results for M6941257

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-21

natha(net)

Lain

71103899059232569

1E9A09B183D9C3__

no

2019-02-01

ATH

ec2-PRPCFDC

71103899059232569

1E9A09B183D9C303

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