2LM

2^2866+1 L

Open composite · C418 · component L

NFS Planning

GNFS Murphy estimate: 1.27e-27
SNFS Murphy score: 2.15e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.90738

Identifiers

Target expression: 2^1433+1-2^717
Target value: 237675155370797454055243241640300695562837396111296843655921195358100323181375526229087064381717789605824272356872150020643323524096134480107727177065651586405689130386571759535541079562606142190123369837028340300657327743518959626074750533260395512290397664594514960130901630559938167445364969514419181400401767197314366864480174190315600416309485524449166468037600283944091916712495219813006378460072319861407591602798548505067521
Target link: FactorDB page
Target ID: 1100000000001473033
Target changed: -
Parent query: 2^2866+1
Parent ID: -
Cofactor token: C418
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

110366155999741. C418

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.15e-19
Skew: 0.90738
Selected: Best

n: 2153514845360340486989431523069725816375379197747342644316956704580509399710015071682046788739144269227857412399161252752652781424760970659309184134911907823414918197502830698830303673107933475924071547869191664440641100018098715615133303189473365710195354328671694943348643940722783406772019589200634427043057760514178991832000985421654883690374195322386451373971005883814150483200693197905301313550594195757050698581
# 2^2866+1 Aurifeuillian L, difficulty: 431.38, skewness: 0.92
# cost: 9.39346e+23, est. time: 447307730.89 GHz days (not accurate yet!)
# Optimized skew: 0.90738 Murphy: 2.15e-19
skew: 0.90738
c8: 2
c4: -2
c0: 1
Y1: -1
Y0: 766247770432944429179173513575154591809369561091801088
type: snfs