M6 959 803 Mersenne number exponent details

≡

is 2 ^6959803 - 1

has 2095110 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	4.2694	65.6716%	-	-	-	-	4.2694	65.6716%
Target	2⁶⁷	4.2694	65.6716%	45000	7200000	0.1375	2.2384%	4.4068	66.4401%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2384%	-0.1375	-0.7684%

Known prime factors (2 factors, 82.5 bits, 0.00118597% 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
6959803	643712179471	12	39.228	46245 3 × 5 × 3083	-	5	3083	1.063e-8	5.460e-5	9.915e-5
6959803	10933920111031	14	43.314	785505 3 × 5 × 7 × 7481	2013-12-20	7	7481	1.722e-7	0.0001	0.0002

1 Composite Factors:

P-1 results:
No P-1 results for M6959803

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2013-12-20	TJAOI	Manual testing	?	?	10933920111031	43.314	14	3.82652e-9	7.334	1.84908e-8

ECM factoring results:
No ECM results for M6959803

Lucas-Lehmer results:
No L-L results for M6959803

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-1

643712179471

10933920111031

760EBF17B61A68__

no

2019-02-10

ATH

ec2-PRPCFDC

643712179471

10933920111031

760EBF17B61A6878

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

10²

10³

10⁴

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-06-05T21:50:05+00:00