M6 912 019 Mersenne number exponent details

≡

is 2 ^6912019 - 1

has 2080726 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	4.2989	65.6716%	-	-	-	-	4.2989	65.6716%
Target	2⁶⁷	4.2989	65.6716%	45000	900000	0.0290	2.2359%	4.3278	66.4392%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2359%	-0.0290	-0.7675%

Known prime factors (2 factors, 87.0 bits, 0.00125858% 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
6912019	5935613372023	13	42.433	429369 3 × 17 × 8419	-	17	8419	1.642e-7	0.0002	0.0003
6912019	25953857198873	14	44.561	1877444 2² × 23 × 20407	2008-09-30	23	20407	4.656e-7	0.0004	0.0007

1 Composite Factors:

P-1 results:
No P-1 results for M6912019

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	?	?	25953857198873	44.561	14	1.26524e-7	7.342	6.16354e-7

ECM factoring results:
No ECM results for M6912019

Lucas-Lehmer results:
No L-L results for M6912019

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-22

Oliver Kruse

GTX-5

5935613372023

25953857198873

E7B836A86F8D2F__

no

2019-02-22

kkmrkkblmbrbk

c5.large

5935613372023

25953857198873

E7B836A86F8D2FAB

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

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