M6 969 973 Mersenne number exponent details

≡

is 2 ^6969973 - 1

has 2098171 decimal digits

takes 1.520 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	4.2631	65.6716%	-	-	-	-	4.2631	65.6716%
Target	2⁶⁷	4.2631	65.6716%	45000	900000	0.0290	2.2389%	4.2921	66.4402%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2389%	-0.0290	-0.7686%

Known prime factors (2 factors, 108.2 bits, 0.00155259% 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
6969973	14627227157639	14	43.734	1049303 211 × 4973	-	211	4973	1.886e-7	0.0001	0.0002
6969973	25751684290531720159	20	64.481	1847330275923 3³ × 11² × 17 × 33261857	2017-10-19	121	33261857	0.5528	0.5730	1.0702

1 Composite Factors:

P-1 results:
No P-1 results for M6969973

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2017-10-19	TJAOI	Manual testing	2⁶⁴	2⁶⁵*	25751684290531720159	64.481	20	0.042	6.285	0.174

ECM factoring results:
No ECM results for M6969973

Lucas-Lehmer results:
No L-L results for M6969973

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

Oliver Kruse

GTX-0

14627227157639

25751684290531720159

8B8E1C069F48CC__

no

2019-02-15

kkmrkkblmbrbk

c5.large

14627227157639

25751684290531720159

8B8E1C069F48CC75

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

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁵

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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