M6 949 343 Mersenne number exponent details

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is 2 ^6949343 - 1

has 2091961 decimal digits

takes 1.515 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	4.2758	65.6716%	-	-	-	-	4.2758	65.6716%
Target	2⁶⁷	4.2758	65.6716%	45000	900000	0.0290	2.2379%	4.3047	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2379%	-0.0290	-0.7682%

Known prime factors (2 factors, 91.0 bits, 0.00130893% 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
6949343	23183008249	11	34.432	1668 2² × 3 × 139	-	4	139	4.482e-10	3.590e-6	4.487e-6
6949343	104018607728424161	18	56.530	7484060560 2⁴ × 5 × 43 × 2175599	2015-08-06	43	2175599	0.0021	0.0375	0.0700

1 Composite Factors:

P-1 results:
No P-1 results for M6949343

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-04-10	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	104018607728424161	56.530	18	0.001	7.333	0.004

ECM factoring results:
No ECM results for M6949343

Lucas-Lehmer results:
No L-L results for M6949343

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-7

23183008249

104018607728424161

996913E04162F6__

no

2019-02-06

ATH

ec2-PRPCFDC

23183008249

104018607728424161

996913E04162F629

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:

2⁵⁷

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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