M6 904 921 Mersenne number exponent details

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is 2 ^6904921 - 1

has 2078589 decimal digits

takes 1.506 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	4.3033	65.6716%	-	-	-	-	4.3033	65.6716%
Target	2⁶⁷	4.3033	65.6716%	45000	900000	0.0290	2.2355%	4.3323	66.4390%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2355%	-0.0290	-0.7674%

Known prime factors (1 factor, 59.8 bits, 0.00086620% 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
6904921	1010914769368249657	19	59.810	73202486268 2² × 3 × 17 × 358835717	1998-07-21	17	358835717	0.0222	6.1814	11.545

P-1 results:
No P-1 results for M6904921

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	?	?	1010914769368249657	59.810	19	0.011	7.321	0.054

ECM factoring results:
No ECM results for M6904921

Lucas-Lehmer results:
No L-L results for M6904921

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-21

Oliver Kruse

GTX-2

1010914769368249657

49D6D7E582A010__

no

2019-01-23

kracker

GRID-11

1010914769368249657

49D6D7E582A0101D

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

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