M6 959 287 Mersenne number exponent details

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is 2 ^6959287 - 1

has 2094955 decimal digits

takes 1.518 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	4.2697	65.6716%	-	-	-	-	4.2697	65.6716%
Target	2⁶⁷	4.2697	65.6716%	45000	900000	0.0290	2.2384%	4.2986	66.4400%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2384%	-0.0290	-0.7684%

Known prime factors (2 factors, 87.9 bits, 0.00126298% 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
6959287	42368139257	11	35.302	3044 2² × 761	-	4	761	1.091e-9	1.431e-5	2.447e-5
6959287	6787890784700609	16	52.592	487685792 2⁵ × 11 × 1385471	2014-08-17	32	1385471	0.0001	0.0239	0.0446

1 Composite Factors:

P-1 results:
No P-1 results for M6959287

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-08-17	TJAOI	Manual testing	?	?	6787890784700609	52.592	16	5.99366e-5	7.333	0.000

ECM factoring results:
No ECM results for M6959287

Lucas-Lehmer results:
No L-L results for M6959287

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

Oliver Kruse

GTX-6

42368139257

6787890784700609

16C2733A686900__

no

2019-02-10

ATH

ec2-PRPCFDC

42368139257

6787890784700609

16C2733A68690073

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

10⁷

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