M6 992 543 Mersenne number exponent details

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is 2 ^6992543 - 1

has 2104966 decimal digits

takes 1.525 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	4.2494	65.6716%	-	-	-	-	4.2494	65.6716%
Target	2⁶⁷	4.2494	65.6716%	45000	900000	0.0290	2.2401%	4.2783	66.4406%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2401%	-0.0290	-0.7690%

Known prime factors (2 factors, 59.4 bits, 0.00084885% 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
6992543	13985087	8	23.737	1 1	-	1	1	1.598e-13	3.162e-7	6.435e-7
6992543	52751744393	11	35.618	3772 2² × 23 × 41	2008-09-08	23	41	1.189e-9	7.582e-6	1.480e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6992543

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	52751744393	35.618	11	5.34451e-10	7.328	2.56852e-9

ECM factoring results:
No ECM results for M6992543

Lucas-Lehmer results:
No L-L results for M6992543

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Netanias

Win10

13985087

52751744393

96FA638D4A6925__

no

2019-02-20

kkmrkkblmbrbk

c5.large

13985087

52751744393

96FA638D4A692553

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

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