M6 963 491 Mersenne number exponent details

≡

is 2 ^6963491 - 1

has 2096220 decimal digits

takes 1.518 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	4.2671	65.6716%	-	-	-	-	4.2671	65.6716%
Target	2⁶⁷	4.2671	65.6716%	45000	7200000	0.1375	2.2386%	4.4046	66.4401%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2386%	-0.1375	-0.7685%

Known prime factors (1 factor, 27.4 bits, 0.00039394% 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
6963491	181050767	9	27.432	13 13	-	1	13	2.575e-12	5.229e-7	6.435e-7

P-1 results:
No P-1 results for M6963491

Trial Factoring results:
No TF results for M6963491

ECM factoring results:
No ECM results for M6963491

Lucas-Lehmer results:
No L-L results for M6963491

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

Oliver Kruse

GTX-1

181050767

FC58A81F836DAA__

no

2019-02-12

Chang Chia-Tche

exbbbe-lt

181050767

FC58A81F836DAA1D

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

10³

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