M211 Mersenne number exponent details

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is 2 ²¹¹ - 1

has 64 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	D8065E781B798C45	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	0.0111	81.8182%	500	50000	0.0000	0.3567%	0.0111	81.8830%
Difference	-44	-0.0111	-81.8182%	-500	-50000	0.0000	-0.3567%	-0.0111	-81.8830%

Known prime factors (3 factors, 211.0 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
211	15193	5	13.891	36 2² × 3²	-	9	9	5.211e-12	1.327e-10	2.700e-10
211	60272956433838849161	20	65.708	142826910980660780 2² × 5 × 353819 × 20183612381	-	353819	20183612381	63,707	0.0162	0.0303
211	hide decimal representation P40 3593875704495823757388199894268773153439	40	131.401

1 Composite Factors:

P-1 results:
No P-1 results for M211

Trial Factoring results:
No TF results for M211

ECM factoring results:
No ECM results for M211

Lucas-Lehmer results:
No L-L results for M211

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

D8065E781B798C45

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

15193

60272956433838849161

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

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

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