M6 910 429 Mersenne number exponent details

≡

is 2 ^6910429 - 1

has 2080247 decimal digits

takes 1.507 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	4.2999	65.6716%	-	-	-	-	4.2999	65.6716%
Target	2⁶⁷	4.2999	65.6716%	45000	900000	0.0290	2.2358%	4.3288	66.4391%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2358%	-0.0290	-0.7675%

Known prime factors (2 factors, 79.1 bits, 0.00114418% 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
6910429	12922502231	11	33.589	935 5 × 11 × 17	-	11	17	1.991e-10	3.581e-6	7.078e-6
6910429	49024297112393	14	45.479	3547124 2² × 7 × 126683	2008-09-30	7	126683	1.204e-6	0.0022	0.0041

1 Composite Factors:

P-1 results:
No P-1 results for M6910429

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	?	?	49024297112393	45.479	14	5.26180e-7	7.343	2.56394e-6

ECM factoring results:
No ECM results for M6910429

Lucas-Lehmer results:
No L-L results for M6910429

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-18

trebor

Desktop

12922502231

49024297112393

76784C863602B7__

no

2019-01-23

kracker

front

12922502231

49024297112393

76784C863602B73A

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:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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