M6 909 827 Mersenne number exponent details

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is 2 ^6909827 - 1

has 2080066 decimal digits

takes 1.507 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	4.3002	65.6716%	-	-	-	-	4.3002	65.6716%
Target	2⁶⁷	4.3002	65.6716%	45000	900000	0.0290	2.2357%	4.3292	66.4391%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2357%	-0.0290	-0.7675%

Known prime factors (1 factor, 58.2 bits, 0.00084297% 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
6909827	342285190119983807	18	58.248	24767999989 797 × 31076537	1998-07-29	797	31076537	0.0109	0.5356	0.9999

P-1 results:
No P-1 results for M6909827

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-29	ANONYMOUS	v4_computers	?	?	342285190119983807	58.248	18	0.005	7.332	0.026

ECM factoring results:
No ECM results for M6909827

Lucas-Lehmer results:
No L-L results for M6909827

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-23

Oliver Kruse

GTX-5

342285190119983807

76F2B087CCBAE1__

no

2019-01-22

kkmrkkblmbrbk

c5.large

342285190119983807

76F2B087CCBAE139

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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