M6 931 451 Mersenne number exponent details

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M6931451

<<<

<<

is 2 ^6931451 - 1

has 2086575 decimal digits

takes 1.511 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	4.2868	65.6716%	-	-	-	-	4.2868	65.6716%
Target	2⁶⁷	4.2868	65.6716%	45000	900000	0.0290	2.2369%	4.3158	66.4395%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2369%	-0.0290	-0.7679%

Known prime factors (1 factor, 25.7 bits, 0.00037113% 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
6931451	55451609	8	25.725	4 2²	-	4	4	6.455e-13	1.265e-6	2.574e-6

P-1 results:
No P-1 results for M6931451

Trial Factoring results:
No TF results for M6931451

ECM factoring results:
No ECM results for M6931451

Lucas-Lehmer results:
No L-L results for M6931451

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-20

trebor

Desktop

55451609

E5CD182453CF7E__

no

2019-01-29

kkmrkkblmbrbk

c5.large

55451609

E5CD182453CF7EEB

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

10⁰

10¹

TF factor-bounds graph:

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront