M6 993 671 Mersenne number exponent details

≡

is 2 ^6993671 - 1

has 2105305 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	4.2487	65.6716%	-	-	-	-	4.2487	65.6716%
Target	2⁶⁷	4.2487	65.6716%	45000	900000	0.0290	2.2402%	4.2776	66.4407%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2402%	-0.0290	-0.7690%

Known prime factors (2 factors, 60.6 bits, 0.00086671% 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
6993671	13987343	8	23.738	1 1	-	1	1	1.598e-13	3.162e-7	6.435e-7
6993671	126221774209	12	36.877	9024 2⁶ × 3 × 47	2008-09-08	64	64	2.557e-9	2.024e-5	4.118e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6993671

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	?	?	126221774209	36.877	12	1.24780e-9	7.328	5.99566e-9

ECM factoring results:
No ECM results for M6993671

Lucas-Lehmer results:
No L-L results for M6993671

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-30

Oliver Kruse

GTX-4

13987343

126221774209

DF3883EDA91B7B__

no

2019-02-21

kkmrkkblmbrbk

c5.large

13987343

126221774209

DF3883EDA91B7B9B

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