2LM

2^2834+1 M

Open composite · C289 · component M

NFS Planning

GNFS Murphy estimate: 3.86e-20
SNFS Murphy score: 2.94e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.93307

Identifiers

Target expression: 2^1417+1+2^709
Target value: 3626635061199912323840991846318064812665365541249036310667742849092106982137688083329575567347988732999027593336061859445851494203127052003596911271143365271082902990517757561272294304849336886445974271194890446484901703986680770386450362044130151641453678866941439734920141752828728587400328105713689940839334382346720986477918105587774465232098099521114714431848957808269989067187303540636750194441828983937692405995440963585
Target link: FactorDB page
Target ID: 1100000000002039755
Target changed: -
Parent query: 2^2834+1
Parent ID: -
Cofactor token: C289
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,26L,218L) 56681.2882552089.124213494444989.2162744757347531971423354118341.10077884413548450205983758816508503105776429.C289

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.94e-19
Skew: 0.93307
Selected: Best

n: 7831444468213655564186395688729084717314958119641829907957971071975237305314054319055808909443446597241631247066168449940035802129559905479274108555385080741593050249771158653303597907537462957928728056365120984179035636576482900258807543102656408822715493450230653318155406297375856265609
# 2^2834+1 Aurifeuillian M, difficulty: 426.56, skewness: 0.92
# cost: 7.2004e+23, est. time: 342876191.51 GHz days (not accurate yet!)
# Optimized skew: 0.93307 Murphy: 2.94e-19
skew: 0.93307
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 191561942608236107294793378393788647952342390272950272
type: snfs