M6 986 519 Mersenne number exponent details

≡

is 2 ^6986519 - 1

has 2103152 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	4.2530	65.6716%	-	-	-	-	4.2530	65.6716%
Target	2⁶⁷	4.2530	65.6716%	45000	900000	0.0290	2.2398%	4.2820	66.4405%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2398%	-0.0290	-0.7689%

Known prime factors (2 factors, 61.8 bits, 0.00088421% 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
6986519	13973039	8	23.736	1 1	-	1	1	1.600e-13	3.162e-7	6.435e-7
6986519	282534828361	12	38.040	20220 2² × 3 × 5 × 337	2008-09-08	5	337	7.215e-9	7.300e-6	1.089e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6986519

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	?	?	282534828361	38.040	12	1.97401e-9	7.329	9.49643e-9

ECM factoring results:
No ECM results for M6986519

Lucas-Lehmer results:
No L-L results for M6986519

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

trebor

Laptop

13973039

282534828361

18DC74CC03A095__

no

2019-02-20

arnaud

stm-11-010

13973039

282534828361

18DC74CC03A09578

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