2LM

2^2494+1 L

Open composite · C340 · component L

NFS Planning

GNFS Murphy estimate: 4.25e-23
SNFS Murphy score: 8.07e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.16361

Identifiers

Target expression: 2^1247+1-2^624
Target value: 2423285551989543969259886147306320615721694717012975552426444448158985017722789267546553034738712987127346362442309271495645764807314487385596126924659433020959638410571315406303196994043254420711808589371349882192290970789101039116157093029661994038820104205038625036211769348714910529695994157691184365835402842436572644003211741586328400997406981919602796569686869501018113
Target link: FactorDB page
Target ID: 1100000000003198543
Target changed: -
Parent query: 2^2494+1
Parent ID: -
Cofactor token: C340
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(58M,86M) 59612040486421. C340

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 8.07e-18
Skew: 1.16361
Selected: Best

n: 8607642141554001628444914860785650855638416555830142753878807839864914473839883626910544826250801842050480470668083060763195879257296786187797593199171354189037202791826610886353734856268491568247300828322721374333783170316867410366893530361205449222014016458108457488291339645558903545641952881267920698631656803426999667444342554305757501
# 2^2494+1 Aurifeuillian L, difficulty: 375.69, skewness: 1.09
# cost: 3.85996e+22, est. time: 18380741.75 GHz days (not accurate yet!)
# Optimized skew: 1.16361 Murphy: 8.07e-18
skew: 1.16361
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 91343852333181432387730302044767688728495783936
type: snfs