M6 952 807 Mersenne number exponent details

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is 2 ^6952807 - 1

has 2093004 decimal digits

takes 1.516 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	4.2737	65.6716%	-	-	-	-	4.2737	65.6716%
Target	2⁶⁷	4.2737	65.6716%	45000	900000	0.0290	2.2380%	4.3026	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2380%	-0.0290	-0.7683%

Known prime factors (2 factors, 94.1 bits, 0.00135356% 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
6952807	133622507423887	15	46.925	9609249 3 × 13 × 246391	-	13	246391	2.594e-6	0.0042	0.0079
6952807	160025082820073	15	47.185	11507948 2² × 601 × 4787	2008-09-30	601	4787	5.118e-6	0.0003	0.0004

1 Composite Factors:

P-1 results:
No P-1 results for M6952807

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	160025082820073	47.185	15	2.42109e-6	7.335	1.17131e-5

ECM factoring results:
No ECM results for M6952807

Lucas-Lehmer results:
No L-L results for M6952807

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Oliver Kruse

GTX-3

133622507423887

160025082820073

E24FCBD8AA092B__

no

2019-02-08

Ruzovej

Masa_notebook

133622507423887

160025082820073

E24FCBD8AA092BFB

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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