2LM

2^2786+1 L

Open composite · C283 · component L

NFS Planning

GNFS Murphy estimate: 8.60e-20
SNFS Murphy score: 1.86e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 2.02723

Identifiers

Target expression: 2^1393+1-2^697
Target value: 216164294552797813644468298334960032264314028099121827522977760380036054977040772636507485350846572697104668220046869483342855823226395368790442423292599038546258389384612891749876398137172274973748580884628917899781703245706165176229867956773515614775758190016226108331574767712340526340519336907356309094907845720572388395768000175033815716656407879410402260252354536521177422595601911516105245100373064384913730437121
Target link: FactorDB page
Target ID: 1100000000000896343
Target changed: -
Parent query: 2^2786+1
Parent ID: -
Cofactor token: C283
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(14L,398L) 5573.4008811578254082558018461817467353.36780957663513473878763583013674360497.C283

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 1.86e-17
Skew: 2.02723
Selected: Best

n: 2897401358694285470788730166348204616864936308221819639876005318412266759866707942129155479275932896227535065840086937741986764984619726708614502067056241923438075899158146283841984928315709541098454670232467110103730902596934252134303770788200805074960310836975214293878186762879413
# 2^2786+1 Aurifeuillian L, difficulty: 359.43, skewness: 1.41
# cost: 1.44161e+22, est. time: 6864796.77 GHz days (not accurate yet!)
# Optimized skew: 2.02723 Murphy: 1.86e-17
skew: 2.02723
c6: 1
c5: 2
c4: -10
c3: -20
c2: 16
c1: 32
c0: 8
Y1: -633825300114114700748351602688
Y0: 803469022129495137770981046170581301261101496891396417650689
type: snfs