M6 922 661 Mersenne number exponent details

≡

is 2 ^6922661 - 1

has 2083929 decimal digits

takes 1.510 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	4.2923	65.6716%	-	-	-	-	4.2923	65.6716%
Target	2⁶⁷	4.2923	65.6716%	45000	900000	0.0290	2.2364%	4.3212	66.4394%
Difference	-	-	-	-45000	-900000	-0.0290	-2.2364%	-0.0290	-0.7677%

Known prime factors (2 factors, 90.4 bits, 0.00130527% 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
6922661	1218388337	10	30.182	88 2³ × 11	-	8	11	2.106e-11	2.581e-6	5.148e-6
6922661	1303372236121687327	19	60.177	94138094883 3 × 7 × 47 × 317 × 300877	2016-01-18	317	300877	0.0225	0.0053	0.0097

1 Composite Factors:

P-1 results:
No P-1 results for M6922661

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-01-18	TJAOI	Manual testing	2⁶⁰	2⁶¹*	1303372236121687327	60.177	19	0.000	7.296	0.001

ECM factoring results:
No ECM results for M6922661

Lucas-Lehmer results:
No L-L results for M6922661

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-23

Oliver Kruse

GTX-0

1218388337

1303372236121687327

F337D5FF32B79B__

no

2019-01-28

Zero

DELL380

1218388337

1303372236121687327

F337D5FF32B79BDD

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶¹

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

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