M6 951 821 Mersenne number exponent details

≡

is 2 ^6951821 - 1

has 2092707 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	4.2743	65.6716%	-	-	-	-	4.2743	65.6716%
Target	2⁶⁷	4.2743	65.6716%	45000	900000	0.0290	2.2380%	4.3032	66.4399%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2380%	-0.0290	-0.7683%

Known prime factors (2 factors, 56.2 bits, 0.00080787% 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
6951821	41710927	8	25.314	3 3	-	1	3	6.434e-13	3.506e-7	6.435e-7
6951821	1932606239	10	30.848	139 139	2008-09-08	1	139	2.120e-11	2.693e-6	4.487e-6

1 Composite Factors:

P-1 results:
No P-1 results for M6951821

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	1932606239	30.848	10	6.19067e-13	7.335	2.99551e-12

ECM factoring results:
No ECM results for M6951821

Lucas-Lehmer results:
No L-L results for M6951821

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-25

Oliver Kruse

GTX-4

41710927

1932606239

00EABED976F657__

no

2019-02-08

J.R. Allen

lapdell

41710927

1932606239

00EABED976F657CD

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

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