2LM

2^2266+1 L

Open composite · C255 · component L

NFS Planning

GNFS Murphy estimate: 3.62e-18
SNFS Murphy score: 8.87e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.54870

Identifiers

Target expression: 2^1133+1-2^567
Target value: 116676955209440363830628192366038755052825572478181455707922740117873569099601666110585906864467567047721566213366525738800924317083427716541926606922551394817475267355881440709645604587503579034863526713217224021123195909787677188910692225261289471078715206098915197360144528556776831572398280927228540657469824725925465020486319566869233665
Target link: FactorDB page
Target ID: 1100000000002422764
Target changed: -
Parent query: 2^2266+1
Parent ID: -
Cofactor token: C255
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,22L,206M) 13597.5791897.41143843577.10007965273275904867471368225133.C255

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 8.87e-17
Skew: 1.54870
Selected: Best

n: 893697307840567049035016250072570187796461622877077229786805622347474179229529488111924354232129313450482056908272900707898684874424188365268946224543702427359289684986801040993313380099177108728172262246331167952591119264226034968874474209531790642366781
# 2^2266+1 Aurifeuillian L, difficulty: 341.37, skewness: 1.12
# cost: 4.67417e+21, est. time: 2225797.16 GHz days (not accurate yet!)
# Optimized skew: 1.54870 Murphy: 8.87e-17
skew: 1.54870
c6: 1
c3: -2
c0: 2
Y1: -1
Y0: 784637716923335095479473677900958302012794430558004314112
type: snfs