M149 Mersenne number exponent details

≡

is 2 ¹⁴⁹ - 1

has 45 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	AAC97FC6C6F779D1	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	0.0157	81.8182%	500	50000	0.0000	0.3158%	0.0157	81.8756%
Difference	-44	-0.0157	-81.8182%	-500	-50000	0.0000	-0.3158%	-0.0157	-81.8756%

Known prime factors (2 factor, 149.0 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
149	86656268566282183151	20	66.232	290792847537859675 5² × 307 × 37888318897441	-	307	37888318897441	151,115	30.431	56.836
149	hide decimal representation P25 8235109336690846723986161	25	82.768

P-1 results:
No P-1 results for M149

Trial Factoring results:
No TF results for M149

ECM factoring results:
No ECM results for M149

Lucas-Lehmer results:
No L-L results for M149

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

AAC97FC6C6F779D1

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

86656268566282183151

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

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

JSON version of this page

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