2LM

2^2794+1 L

Open composite · C343 · component L

NFS Planning

GNFS Murphy estimate: 2.85e-23
SNFS Murphy score: 4.39e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.31731

Identifiers

Target expression: 2^1397+1-2^699
Target value: 3458628712844765018311492773359360516229024449585949240367644166080576879632652362184119765613545163153674691520749911733485693171622325900647078772681584616740134230153806267998022370194756399579977294154062694286711104253858903681162711628569248161921835275020406980726550886495679867069542561017505361901202372003611498599614572329689426742208320762288592141858947517174345454196527871753320748090044937098497290665985
Target link: FactorDB page
Target ID: 1100000000003747883
Target changed: -
Parent query: 2^2794+1
Parent ID: -
Cofactor token: C343
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,22L,254M) 8192088956647333.745408852921662152081. C343

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 4.39e-19
Skew: 1.31731
Selected: Best

n: 8385226158934307934912603233197350385706040582709006893737830631390537947841793724249816821358000108686333479685719516290048161638685165232944901528982639083346683582596496363382071900896747978011158375962080007111290984918411950264002696356807578247151204956613634358997578440592844023879830468915309266579413625460579986634376891735079459473
# 2^2794+1 Aurifeuillian L, difficulty: 421.44, skewness: 1.30
# cost: 5.4176e+23, est. time: 257980774.12 GHz days (not accurate yet!)
# Optimized skew: 1.31731 Murphy: 4.39e-19
skew: 1.31731
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 47890485652059026823698344598447161988085597568237568
type: snfs