M6 938 719 Mersenne number exponent details

≡

is 2 ^6938719 - 1

has 2088763 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	4.2823	65.6716%	-	-	-	-	4.2823	65.6716%
Target	2⁶⁷	4.2823	65.6716%	45000	900000	0.0290	2.2373%	4.3113	66.4397%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2373%	-0.0290	-0.7680%

Known prime factors (2 factors, 65.5 bits, 0.00094340% 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
6938719	69387191	8	26.048	5 5	-	1	5	1.290e-12	3.851e-7	6.435e-7
6938719	731396492353	12	39.412	52704 2⁵ × 3³ × 61	2008-09-08	32	61	1.486e-8	1.062e-5	2.059e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6938719

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	731396492353	39.412	12	4.30421e-9	7.337	2.08730e-8

ECM factoring results:
No ECM results for M6938719

Lucas-Lehmer results:
No L-L results for M6938719

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25

Oliver Kruse

GTX-1

69387191

731396492353

25A4C59C8471F9__

no

2019-02-01

J.R. Allen

laphp

69387191

731396492353

25A4C59C8471F991

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

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