2LM

2^2474+1 L

Open composite · C294 · component L

NFS Planning

GNFS Murphy estimate: 1.98e-20
SNFS Murphy score: 9.96e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.39118

Identifiers

Target expression: 2^1237+1-2^619
Target value: 2366489796864789032480357565728828726290717497082983937916449656405258806369911394088430697987024401491549182072567647944966567194643054087496217699862727559530896885323550201467965814493258089670878643710358583324808955647987658020731298490523896713156056687205170562736559195615975008622091435218871116232240361505159530333409491117153010486517133298187265731966936285185
Target link: FactorDB page
Target ID: 1100000000000961691
Target changed: -
Parent query: 2^2474+1
Parent ID: -
Cofactor token: C294
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 601825241.153070379975682596689.27420027477050075397644756417278311816360928292293.C294

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 9.96e-18
Skew: 1.39118
Selected: Best

n: 187372213652241382964090100106286312133587442235601736772195259708944886465297813222412705731014619556537036088942196358777037261331549174466771664880789185332960344695145326908538729700463155154743251548639834631073383314225232310688587856029283491912908847085475771226221510361961871339074241
# 2^2474+1 Aurifeuillian L, difficulty: 373.28, skewness: 1.30
# cost: 3.34139e+22, est. time: 15911358.77 GHz days (not accurate yet!)
# Optimized skew: 1.39118 Murphy: 9.96e-18
skew: 1.39118
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 45671926166590716193865151022383844364247891968
type: snfs