M6 992 807 Mersenne number exponent details

≡

is 2 ^6992807 - 1

has 2105045 decimal digits

takes 1.525 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 LL tests remaining

	Residue	Status
L-L	6746BE8B137CD2FE	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	4.2492	65.6716%	445000	13683750	0.3688	5.7720%	4.6180	67.6531%
Target	2⁶⁷	4.2492	65.6716%	45000	900000	0.0290	2.2402%	4.2782	66.4407%
Difference	-	-	-	+400000	+12783750	+0.3398	+3.5318%	+0.3398	+1.2124%

Known prime factors (1 factor, 69.0 bits, 0.00098627% 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
6992807	577345434272930044679	21	68.968	41281379156677 11 × 17 × 384253 × 574507	2011-09-08	384253	574507	15.587	0.1248	0.2473

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-09-22	ANONYMOUS	v4_computers	30000	30000		-		-	-	0.009	-	-	0.538%
2011-09-08	Carsten Kossendey	mother	445000	13683750			577345434272930044679	21	68.968	0.369	3.050	0.738	5.772%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-11	ANONYMOUS	v4_computers	2¹	2⁶²		-	-	0.088	-	-
2005-09-22	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.228	-	-

ECM factoring results:
No ECM results for M6992807

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-06-06	ANONYMOUS	v4_computers	6746BE8B137CD2FE	1.525
2001-10-06	ANONYMOUS	v4_computers	6746BE8B137CD2FE	1.525

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

ATH

work

577345434272930044679

F5235DD335AAA2__

no

2019-02-21

kkmrkkblmbrbk

c5.large

577345434272930044679

F5235DD335AAA214

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

B1 = 445000, B2 = 13683750 (P-1 stage 2)

B1 = 445000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶³

2⁶²

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-04-26T21:34:10+00:00