M6 913 993 Mersenne number exponent details

≡

is 2 ^6913993 - 1

has 2081320 decimal digits

takes 1.508 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	4.2976	65.6716%	-	-	-	-	4.2976	65.6716%
Target	2⁶⁷	4.2976	65.6716%	45000	900000	0.0290	2.2360%	4.3266	66.4392%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2360%	-0.0290	-0.7676%

Known prime factors (2 factors, 61.9 bits, 0.00089494% 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
6913993	152107847	9	27.181	11 11	-	1	11	2.592e-12	4.884e-7	6.435e-7
6913993	27821907833	11	34.696	2012 2² × 503	2008-09-08	4	503	4.752e-10	9.861e-6	1.614e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6913993

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	?	?	27821907833	34.696	11	1.44159e-10	7.342	7.02023e-10

ECM factoring results:
No ECM results for M6913993

Lucas-Lehmer results:
No L-L results for M6913993

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-23

Oliver Kruse

GTX-1

152107847

27821907833

EAFC32F3B09BEC__

no

2019-02-22

ATH

ec2-PRPCFDC

152107847

27821907833

EAFC32F3B09BEC17

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

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