M6 985 799 Mersenne number exponent details

≡

is 2 ^6985799 - 1

has 2102936 decimal digits

takes 1.523 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	4.2535	65.6716%	-	-	-	-	4.2535	65.6716%
Target	2⁶⁷	4.2535	65.6716%	45000	900000	0.0290	2.2398%	4.2824	66.4405%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2398%	-0.0290	-0.7689%

Known prime factors (2 factors, 66.3 bits, 0.00094889% 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
6985799	13971599	8	23.736	1 1	-	1	1	1.600e-13	3.162e-7	6.435e-7
6985799	6445545248537	13	42.551	461332 2² × 29 × 41 × 97	2008-09-08	41	97	1.556e-7	1.393e-5	2.638e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6985799

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	?	?	6445545248537	42.551	13	7.17435e-8	7.329	3.45179e-7

ECM factoring results:
No ECM results for M6985799

Lucas-Lehmer results:
No L-L results for M6985799

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

pew

desktop

13971599

6445545248537

4F5BB88D5AB02B__

no

2019-02-19

kkmrkkblmbrbk

c5.large

13971599

6445545248537

4F5BB88D5AB02BC7

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