2LM

2^2722+1 M

Open composite · C356 · component M

NFS Planning

GNFS Murphy estimate: 5.02e-24
SNFS Murphy score: 8.93e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.96077

Identifiers

Target expression: 2^1361+1+2^681
Target value: 50329671835712579461854951999839402796773712173831143305398933677942504868153662569007716456159616982821530713710670704800369176833516771157840831040544211525995840640881306433555762781103205628168904428526761380630586113553534208441655461401163412312269439727526265842520330360127030771779189207791199066190909029523215111706002962648950682691911661296251416127265890417159658810022006504857761864689913954305
Target link: FactorDB page
Target ID: 1100000000003380498
Target changed: -
Parent query: 2^2722+1
Parent ID: -
Cofactor token: C356
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 157877.83490893417.47118478926572756841581029391224009717. C356

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 8.93e-19
Skew: 0.96077
Selected: Best

n: 16207083085665148770859721348398510106814961137350086059799544351078604477225278139661285653819727937128487142746660356132951635069962030691384677706849172255955057449258525531871341712379337134178257757248393904501542848502662921602658612953319432790718054538524956644163665142634855114634668148673706485793321907077445253274813358361193058752040781606637
# 2^2722+1 Aurifeuillian M, difficulty: 409.70, skewness: 0.92
# cost: 2.79841e+23, est. time: 133257600.67 GHz days (not accurate yet!)
# Optimized skew: 0.96077 Murphy: 8.93e-19
skew: 0.96077
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 1496577676626844588240573268701473812127674924007424
type: snfs