M6 980 731 Mersenne number exponent details

≡

is 2 ^6980731 - 1

has 2101410 decimal digits

takes 1.522 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	4.2566	65.6716%	-	-	-	-	4.2566	65.6716%
Target	2⁶⁷	4.2566	65.6716%	45000	900000	0.0290	2.2395%	4.2855	66.4404%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2395%	-0.0290	-0.7688%

Known prime factors (2 factors, 92.1 bits, 0.00131911% 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
6980731	98791305113	11	36.524	7076 2² × 29 × 61	-	29	61	2.009e-9	9.720e-6	1.866e-5
6980731	53121911979023113	17	55.560	3804896076 2² × 3 × 53 × 59 × 101399	2015-01-31	59	101399	0.0011	0.0018	0.0033

1 Composite Factors:

P-1 results:
No P-1 results for M6980731

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-31	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	53121911979023113	55.560	17	0.000	7.329	0.002

ECM factoring results:
No ECM results for M6980731

Lucas-Lehmer results:
No L-L results for M6980731

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Oliver Kruse

GTX-0

98791305113

53121911979023113

4346DD6654ADCA__

no

2019-02-18

kkmrkkblmbrbk

c5.large

98791305113

53121911979023113

4346DD6654ADCAD0

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

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁵⁶

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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