M139 Mersenne number exponent details

≡

M139

<<<

<<

is 2 ¹³⁹ - 1

has 42 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

factored, 0 PRP tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	EBD653E7021C54E1	PRP-tested
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0169	81.8182%	500	50000	0.0000	0.3081%	0.0169	81.8742%
Difference	-44	-0.0169	-81.8182%	-500	-50000	0.0000	-0.3081%	-0.0169	-81.8742%

Known prime factors (2 factor, 139.0 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
139	5625767248687	13	42.355	20236572837 3² × 13 × 37 × 53 × 193 × 457	-	193	457	0.0066	3.057e-9	5.790e-9
139	hide decimal representation P30 123876132205208335762278423601	30	96.645

P-1 results:
No P-1 results for M139

Trial Factoring results:
No TF results for M139

ECM factoring results:
No ECM results for M139

Lucas-Lehmer results:
No L-L results for M139

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

EBD653E7021C54E1

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

5625767248687

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

10¹

10²

10³

10¹

10²

10³

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

JSON version of this page

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

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront