2LM

2^2834+1 L

Open composite · C330 · component L

NFS Planning

GNFS Murphy estimate: 1.62e-22
SNFS Murphy score: 2.95e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.91608

Identifiers

Target expression: 2^1417+1-2^709
Target value: 3626635061199912323840991846318064812665365541249036310667742849092106982137688083329575567347988732999027593336061859445851494203127052003596911271143365271082902990517757561272294304849336886445974271194890446479515324823495235915035588404060899887930130908850509702793902108086346861400117343869295407691083808290290426369191610649642566607909884365271832106701431817915840027951776272088486506368282521451888116218000834561
Target link: FactorDB page
Target ID: 1100000000002039753
Target changed: -
Parent query: 2^2834+1
Parent ID: -
Cofactor token: C330
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(26M,218M) 464777.55399033.23409169289062013333813.8126966709524535267140981.C330

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.95e-19
Skew: 0.91608
Selected: Best

n: 137087390912179101682578775299468081703216098499060480301570697611771946561097323045371843535671731901904712290474141508825773511703046690681363892982985451841897466487809102184899687992124566394169409095017964243498427021474950291993287054104395965535261181598604661250748923736788590596574013024754251573365523776589407799616457
# 2^2834+1 Aurifeuillian L, difficulty: 426.56, skewness: 0.92
# cost: 7.2004e+23, est. time: 342876191.51 GHz days (not accurate yet!)
# Optimized skew: 0.91608 Murphy: 2.95e-19
skew: 0.91608
c8: 2
c4: -2
c0: 1
Y1: -1
Y0: 191561942608236107294793378393788647952342390272950272
type: snfs