2LM

2^2558+1 L

Open composite · C344 · component L

NFS Planning

GNFS Murphy estimate: 2.49e-23
SNFS Murphy score: 4.36e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.15332

Identifiers

Target expression: 2^1279+1-2^640
Target value: 10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583545910518802925494592570522071447257153973733994135878329712539830986035993619861030079115444287294825053248609228252660911514435799651260437236071638306663862617741512540449770627681510922125313
Target link: FactorDB page
Target ID: 1100000000000447794
Target changed: -
Parent query: 2^2558+1
Parent ID: -
Cofactor token: C344
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

4290691997.197233010954448024794514062981009. C344

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 4.36e-18
Skew: 1.15332
Selected: Best

n: 12298651894971472906323052317047894181337070573444874796190161083993584889554835361488323526381983797933161169124493715426640542599174482734662866976218980226594690025959777582138244420641127515236137655951685791613683802960782102795830823236906670582648532921159968254830755664644062950871137863010394562634907942641659466078673274736161572581
# 2^2558+1 Aurifeuillian L, difficulty: 385.32, skewness: 1.09
# cost: 6.83624e+22, est. time: 32553503.70 GHz days (not accurate yet!)
# Optimized skew: 1.15332 Murphy: 4.36e-18
skew: 1.15332
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 1461501637330902918203684832716283019655932542976
type: snfs