M6 908 581 Mersenne number exponent details

≡

is 2 ^6908581 - 1

has 2079691 decimal digits

takes 1.506 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	4.3010	65.6716%	-	-	-	-	4.3010	65.6716%
Target	2⁶⁷	4.3010	65.6716%	45000	900000	0.0290	2.2357%	4.3300	66.4391%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2357%	-0.0290	-0.7675%

Known prime factors (2 factors, 73.1 bits, 0.00105866% 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
6908581	207257431	9	27.627	15 3 × 5	-	3	5	2.597e-12	9.830e-7	1.930e-6
6908581	50169272375119	14	45.512	3630939 3 × 13 × 157 × 593	2008-09-30	157	593	1.301e-6	5.715e-5	0.0001

1 Composite Factors:

P-1 results:
No P-1 results for M6908581

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	?	?	50169272375119	45.512	14	6.22510e-7	7.343	3.03429e-6

ECM factoring results:
No ECM results for M6908581

Lucas-Lehmer results:
No L-L results for M6908581

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-22

Oliver Kruse

GTX-2

207257431

50169272375119

0652066332FC92__

no

2019-01-22

Chang Chia-Tche

exbbbe-lt

207257431

50169272375119

0652066332FC921F

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