M6 883 Mersenne number exponent details

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is 2 ⁶⁸⁸³ - 1

has 2072 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	4,317.0010	80.5970%	-	-	-	-	4,317.0010	80.5970%
Target	2⁴⁴	0.0003	70.4545%	500	50000	0.0000	1.1259%	0.0003	70.7872%
Difference	+23	+4,317.0006	+10.1425%	-500	-50000	0.0000	-1.1259%	+4,317.0006	+9.8098%

Known prime factors (3 factors, 6,883.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6883	1885943	7	20.847	137 137	-	1	137	2.090e-11	1.036e-9	1.736e-9
6883	2043031664890199	16	50.860	148411424153 19 × 41 × 59 × 383 × 8431	2009-03-05	383	8431	0.0410	1.012e-7	1.058e-7
6883	hide decimal representation P2051 click to show decimal representation	2,051	6,811.294		2009-03-05

1 Composite Factors:

P-1 results:
No P-1 results for M6883

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-05	ANONYMOUS	Manual testing	?	?	2043031664890199	50.860	16	0.019	1.29553e-6	0.043

ECM factoring results:
No ECM results for M6883

Lucas-Lehmer results:
No L-L results for M6883

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-11-09

kkmrkkblmbrbk

c4.large

1885943

2043031664890199

PRP

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

TF factor-bounds graph:

2

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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Last modified: 2023-10-02T12:12:48+00:00