M6 956 249 Mersenne number exponent details

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is 2 ^6956249 - 1

has 2094040 decimal digits

takes 1.517 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	4.2715	65.6716%	-	-	-	-	4.2715	65.6716%
Target	2⁶⁷	4.2715	65.6716%	45000	900000	0.0290	2.2382%	4.3005	66.4400%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2382%	-0.0290	-0.7683%

Known prime factors (1 factor, 56.8 bits, 0.00081678% 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
6956249	126954169357510127	18	56.817	9125188687 191 × 47775857	1998-07-21	191	47775857	0.0015	0.8231	1.5371

P-1 results:
No P-1 results for M6956249

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-21	ANONYMOUS	v4_computers	?	?	126954169357510127	56.817	18	9.16990e-5	7.331	0.000

ECM factoring results:
No ECM results for M6956249

Lucas-Lehmer results:
No L-L results for M6956249

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-27

Oliver Kruse

GTX-6

126954169357510127

D6C413B4D1FF3D__

no

2019-02-09

ATH

ec2-PRPCFDC

126954169357510127

D6C413B4D1FF3D9D

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