M6 954 391 Mersenne number exponent details

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is 2 ^6954391 - 1

has 2093481 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	4.2727	65.6716%	-	-	-	-	4.2727	65.6716%
Target	2⁶⁷	4.2727	65.6716%	45000	900000	0.0290	2.2381%	4.3016	66.4400%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2381%	-0.0290	-0.7683%

Known prime factors (2 factors, 89.9 bits, 0.00129240% 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
6954391	15522200713	11	33.854	1116 2² × 3² × 31	-	9	31	2.043e-10	3.225e-6	5.791e-6
6954391	73318050109420607	17	56.025	5271349433 7 × 753049919	2015-08-06	7	753049919	0.0024	12.972	24.229

1 Composite Factors:

P-1 results:
No P-1 results for M6954391

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-03-03	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	73318050109420607	56.025	17	0.001	7.332	0.005

ECM factoring results:
No ECM results for M6954391

Lucas-Lehmer results:
No L-L results for M6954391

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-23

trebor

Laptop

15522200713

73318050109420607

00E41869976747__

no

2019-02-10

arnaud

stm-11-010

15522200713

73318050109420607

00E41869976747FF

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

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁵⁷

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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