M6 934 157 Mersenne number exponent details

≡

is 2 ^6934157 - 1

has 2087390 decimal digits

takes 1.512 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	4.2852	65.6716%	-	-	-	-	4.2852	65.6716%
Target	2⁶⁷	4.2852	65.6716%	45000	900000	0.0290	2.2370%	4.3141	66.4396%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2370%	-0.0290	-0.7679%

Known prime factors (2 factors, 73.6 bits, 0.00106180% 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
6934157	166419769	9	27.310	12 2² × 3	-	4	4	2.585e-12	1.265e-6	2.574e-6
6934157	87618607152287	14	46.316	6317899 7 × 19 × 67 × 709	2008-09-30	67	709	2.042e-6	3.224e-5	4.311e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6934157

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	?	?	87618607152287	46.316	14	6.90297e-7	7.338	3.35014e-6

ECM factoring results:
No ECM results for M6934157

Lucas-Lehmer results:
No L-L results for M6934157

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-3

166419769

87618607152287

7C7CE7880BE54A__

no

2019-01-30

kkmrkkblmbrbk

c5.large

166419769

87618607152287

7C7CE7880BE54AEF

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

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