M6 978 761 Mersenne number exponent details

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is 2 ^6978761 - 1

has 2100817 decimal digits

takes 1.522 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	4.2578	65.6716%	-	-	-	-	4.2578	65.6716%
Target	2⁶⁷	4.2578	65.6716%	45000	900000	0.0290	2.2394%	4.2867	66.4404%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2394%	-0.0290	-0.7688%

Known prime factors (1 factor, 54.6 bits, 0.00078194% 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
6978761	26738847291888287	17	54.570	1915730263 67 × 109 × 262321	1998-07-05	109	262321	0.0004	0.0046	0.0084

P-1 results:
No P-1 results for M6978761

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-07-05	ANONYMOUS	v4_computers	?	?	26738847291888287	54.570	17	7.91218e-5	7.330	0.000

ECM factoring results:
No ECM results for M6978761

Lucas-Lehmer results:
No L-L results for M6978761

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25

trebor

Laptop

26738847291888287

329740BAA86E60__

no

2019-02-17

J.R. Allen

lapacer

26738847291888287

329740BAA86E60CF

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

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2019-02-17T12:05:16+00:00