M6 938 147 Mersenne number exponent details

≡

is 2 ^6938147 - 1

has 2088591 decimal digits

takes 1.513 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	4.2827	65.6716%	-	-	-	-	4.2827	65.6716%
Target	2⁶⁷	4.2827	65.6716%	45000	900000	0.0290	2.2373%	4.3116	66.4397%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2373%	-0.0290	-0.7680%

Known prime factors (1 factor, 44.4 bits, 0.00064027% 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
6938147	23586716396791	14	44.423	1699785 3⁵ × 5 × 1399	-	243	1399	6.482e-7	9.675e-5	0.0002

P-1 results:
No P-1 results for M6938147

Trial Factoring results:
No TF results for M6938147

ECM factoring results:
No ECM results for M6938147

Lucas-Lehmer results:
No L-L results for M6938147

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

Oliver Kruse

GTX-5

23586716396791

2DA2DF81037288__

no

2019-02-01

J.R. Allen

laphp

23586716396791

2DA2DF81037288F5

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

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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