M6 989 303 Mersenne number exponent details

≡

is 2 ^6989303 - 1

has 2103990 decimal digits

takes 1.524 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	4.2513	65.6716%	-	-	-	-	4.2513	65.6716%
Target	2⁶⁷	4.2513	65.6716%	45000	900000	0.0290	2.2400%	4.2803	66.4406%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2400%	-0.0290	-0.7689%

Known prime factors (2 factors, 103.9 bits, 0.00148662% 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
6989303	536340171208871	15	48.930	38368645 5 × 7 × 373 × 2939	-	373	2939	1.020e-5	0.0002	0.0002
6989303	35394981334503617	17	54.974	2532082336 2⁵ × 7 × 29 × 389791	2015-08-06	32	389791	0.0006	0.0067	0.0125

1 Composite Factors:

P-1 results:
No P-1 results for M6989303

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-12-29	TJAOI	Manual testing	2⁵⁴	2⁵⁵*	35394981334503617	54.974	17	0.000	7.328	0.001

ECM factoring results:
No ECM results for M6989303

Lucas-Lehmer results:
No L-L results for M6989303

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-02-07

Oliver Kruse

GTX-2

536340171208871

35394981334503617

16129CB3484008__

no

2019-02-19

kkmrkkblmbrbk

c5.large

536340171208871

35394981334503617

16129CB34840084C

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁵⁵

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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