2LM

2^2798+1 L

Open composite · C389 · component L

NFS Planning

GNFS Murphy estimate: 6.12e-26
SNFS Murphy score: 4.15e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.09960

Identifiers

Target expression: 2^1399+1-2^700
Target value: 13834514851379060073245971093437442064916097798343796961470576664322307518530609448736479062454180652614698766082999646933942772686489303602588315090726338466960536920615225071992089480779025598319909176616250782406980318563809121965640729394405658198027143923255487421187106614714873765358992357736557725193260714997414850576676002338189957152637146176969139219316640023921052945230709678677040876682897019687240898445313
Target link: FactorDB page
Target ID: 1100000000002744023
Target changed: -
Parent query: 2^2798+1
Parent ID: -
Cofactor token: C389
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

156248693501471250345133045537061. C389

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 4.15e-19
Skew: 1.09960
Selected: Best

n: 88541635397730817900300813369365817914083111435669781131339951531885292389623548985244437600354660839116016745677237485934080238643698853665916570890244507785836403250028109951351076753252454156864618909448160747509513435654703031221573381191791516378769370396207928969178202848426470342193511374382721182890997985371656885669685891871734371437402657405978583364799493398551159213220764333
# 2^2798+1 Aurifeuillian L, difficulty: 421.44, skewness: 1.09
# cost: 5.4176e+23, est. time: 257980774.12 GHz days (not accurate yet!)
# Optimized skew: 1.09960 Murphy: 4.15e-19
skew: 1.09960
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 47890485652059026823698344598447161988085597568237568
type: snfs