2LM

2^2698+1 L

Open composite · C322 · component L

NFS Planning

GNFS Murphy estimate: 4.71e-22
SNFS Murphy score: 1.13e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.34493

Identifiers

Target expression: 2^1349+1-2^675
Target value: 12287517538015766470179431640585791698431082073689243971044661542466431852576577775636649525429593989946662771902019215039152631062870305458457234140757864142088828281465162703504824897730274811564673932586577645096650558678475674562272753234170878273839512443392086851678653124040005389548019828894726394797305733719413752267069083181836551252691550639139864226543549695835869906344764625624702139701919745
Target link: FactorDB page
Target ID: 1100000000003875623
Target changed: -
Parent query: 2^2698+1
Parent ID: -
Cofactor token: C322
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,38L,142M) 14650590206439277513.1499465471981653919943011373129013158509.C322

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.13e-18
Skew: 1.34493
Selected: Best

n: 2263555698904609229993008597135950842911154455705155438557167346401880162921077563292949025761147212605056972292052798870184969872906138864055895124952577728722045397085412103052492490837095500957600551940701924204965162754099794743133600324091066376724097171287002135812714713840108346292884188853527360654883104693912497
# 2^2698+1 Aurifeuillian L, difficulty: 406.99, skewness: 1.30
# cost: 2.39885e+23, est. time: 114231074.62 GHz days (not accurate yet!)
# Optimized skew: 1.34493 Murphy: 1.13e-18
skew: 1.34493
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 748288838313422294120286634350736906063837462003712
type: snfs