M6 948 979 Mersenne number exponent details

≡

is 2 ^6948979 - 1

has 2091852 decimal digits

takes 1.515 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	4.2760	65.6716%	-	-	-	-	4.2760	65.6716%
Target	2⁶⁷	4.2760	65.6716%	45000	900000	0.0290	2.2378%	4.3050	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2378%	-0.0290	-0.7682%

Known prime factors (2 factors, 72.4 bits, 0.00104116% 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
6948979	2293163071	10	31.095	165 3 × 5 × 11	-	5	11	4.264e-11	1.684e-6	3.217e-6
6948979	2625338164159	13	41.256	188901 3² × 139 × 151	2008-09-30	139	151	7.958e-8	4.416e-5	8.944e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6948979

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	2625338164159	41.256	13	3.74214e-8	7.335	1.81160e-7

ECM factoring results:
No ECM results for M6948979

Lucas-Lehmer results:
No L-L results for M6948979

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-7

2293163071

2625338164159

06C2F1BDDA3CE2__

no

2019-02-07

kkmrkkblmbrbk

c5.large

2293163071

2625338164159

06C2F1BDDA3CE288

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

10³

10⁰

10¹

10²

10³

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