2LM

2^2762+1 L

Open composite · C321 · component L

NFS Planning

GNFS Murphy estimate: 5.38e-22
SNFS Murphy score: 6.04e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.32715

Identifiers

Target expression: 2^1381+1-2^691
Target value: 52774485974804153721794018148183601627029792016387164922601992280282239984629094881959835290734026537379069389659880244956751909967381681833604107249169687145082614595852756774872167513958074944762837130036346795950068005924022376326792059511785743615676503301289687346060327501617538288341111275240020284632429987717931150464724156983604863086178161100850433762368442171574044456638464883791969252679334216444411905
Target link: FactorDB page
Target ID: 1100000000003079335
Target changed: -
Parent query: 2^2762+1
Parent ID: -
Cofactor token: C321
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 963517740819081137.36903614150334937861.573250078452321229204101450811574224575271149012155284669.C321

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 6.04e-19
Skew: 1.32715
Selected: Best

n: 517822918890740228443734787503154280974393149340524583610381507361518313530870544943674374315645363457555539089030370285530619259189792974034022655273616588898203204350215887457373263603806863010748903608783768589992638834758277139557554315965057532420282250001895059081062125360833973345803317287733424102467429028843757
# 2^2762+1 Aurifeuillian L, difficulty: 416.63, skewness: 1.30
# cost: 4.1371e+23, est. time: 197004690.61 GHz days (not accurate yet!)
# Optimized skew: 1.32715 Murphy: 6.04e-19
skew: 1.32715
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 11972621413014756705924586149611790497021399392059392
type: snfs