2LM

2^2738+1 L

Open composite · C398 · component L

NFS Planning

GNFS Murphy estimate: 1.84e-26
SNFS Murphy score: 7.66e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.93870

Identifiers

Target expression: 2^1369+1-2^685
Target value: 12884395989942420342234867711958887115974070316500772686182127021553281246247337617665975412776861947602311862709931700428894509269380293416407252746379318150654935204065614446990275271962420640811239533700121961099928508521148335607860606367161097204040770405345882522721079614213687663954490652626706272747280228936024437581071159431383185509083827091734101101296168947489175201469812013509166682330955335598081
Target link: FactorDB page
Target ID: 1100000000005389895
Target changed: -
Parent query: 2^2738+1
Parent ID: -
Cofactor token: C398
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(74M) 5477. C398

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.66e-19
Skew: 0.93870
Selected: Best

n: 17116297515798956796671648030421312982838475890554524421402594143068469222444096823661674711863241386393707741468987956040819529963528864842484274493409671801736698152221006744267149106951811055147668083535261310052841943729775290384012749149967757461080750731592599201858036220254044880039786348587955039839437444648391522158624165928308064089422965272362123185302070860894953159635396214749860973
# 2^2738+1 Aurifeuillian L, difficulty: 412.11, skewness: 0.92
# cost: 3.20746e+23, est. time: 152736260.35 GHz days (not accurate yet!)
# Optimized skew: 0.93870 Murphy: 7.66e-19
skew: 0.93870
c8: 2
c4: -2
c0: 1
Y1: -1
Y0: 2993155353253689176481146537402947624255349848014848
type: snfs