2LM

2^2414+1 L

Open composite · C269 · component L

NFS Planning

GNFS Murphy estimate: 5.58e-19
SNFS Murphy score: 1.20e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.23787

Identifiers

Target expression: 2^1207+1-2^604
Target value: 2203965370417376079112624345094737341898230367417432309981854312499294808478943439282878020766213910180655477636091083236938870693224532611198926064989275820116416444371966832753238960362317953764140448047113416299033831515195076979875849511535584672401120916764305153962682905575477165575861038064512009620749092643117808260207776250861828068888075001900262490113
Target link: FactorDB page
Target ID: 1100000000004278285
Target changed: -
Parent query: 2^2414+1
Parent ID: -
Cofactor token: C269
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(34L,142L) 22225611097.286186391609.14628799057481224277240869494518160261498555677.C269

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 1.20e-17
Skew: 1.23787
Selected: Best

n: 76833433711237591054512915559855209929007079176103798510792294700728678335398709801754736674840971987285053452528072812914029932851766920279396022176166884338073982618450291860476069909050082384457953650890277226231529024496359641874826951140818569534208719006925565221
# 2^2414+1 Aurifeuillian L, difficulty: 363.34, skewness: 0.89
# cost: 1.83175e+22, est. time: 8722636.28 GHz days (not accurate yet!)
# Optimized skew: 1.23787 Murphy: 1.20e-17
skew: 1.23787
c6: 2
c3: -2
c0: 1
Y1: -1
Y0: 3213876088517980551083924184682325205044405987565585670602752
type: snfs