2LM

2^2434+1 L

Open composite · C323 · component L

NFS Planning

GNFS Murphy estimate: 4.12e-22
SNFS Murphy raw: 8.84e-18
SNFS Murphy normalized (deg 6): 8.84e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.56122

Identifiers

Target expression: 2^1217+1-2^609
Target value: 2256860539307393105011327329377011038103787896235450685421418815999277883882438081825667093264603044024991209099357269234625403589861921393867700290549018439799210439036894036739316761272124693933600056309181750796320432341106356979351346630885575554580170564444748133808068183740711559826537997544186200827484939802250322438930129937714152977618972390705028724162561
Target link: FactorDB page
Target ID: 1100000000000191763
Target changed: Before 6/8/2026
Parent query: 2^2434+1
Parent ID: 1000000000012152458
Cofactor token: C323
Imported: Jun 07, 2026, 01:41 AM UTC

Raw pmain126 Factorization

116833.321289.408913.118470422761.16285092936791741. C323

SNFS Polynomial

Polynomial

Degree: 6
Raw Murphy: 8.84e-18
Normalized (deg 6): 8.84e-18
Skew: 1.56122
Selected: Best

n: 76210048924907056577471532120435454975186249206892104965933762783225536968357917828300550062179221455669241121071397819293269233554617580267730013543650365322199210807445528629813712103513980992426861352704588084069737040245905480263028628513420629687137133134631895486290487098271473779953016946994618773734949785094467381
# 2^2434+1 Aurifeuillian L, difficulty: 366.65, skewness: 1.12
# cost: 2.24057e+22, est. time: 10669387.91 GHz days (not accurate yet!)
# Optimized skew: 1.56122 Murphy: 8.84e-18
skew: 1.56122
c6: 1
c3: -2
c0: 2
Y1: -1
Y0: 12855504354071922204335696738729300820177623950262342682411008
type: snfs