2LM

2^2378+1 L

Open composite · C305 · component L

NFS Planning

GNFS Murphy estimate: 4.56e-21
SNFS Murphy score: 1.97e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.23577

Identifiers

Target expression: 2^1189+1-2^595
Target value: 8407460672063354793978211765650700919716760129613618125846307039258174165645383603221427996697288170549985800308574994037394984028719072766109184513051131515947023179519526797306842933361155634940001108552627095662930121440125514281392993992645392971096073073422779652139630832494265974635799571274401652776933769104768849073654405531907714258054596939218945
Target link: FactorDB page
Target ID: 1100000000001838282
Target changed: -
Parent query: 2^2378+1
Parent ID: -
Cofactor token: C305
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,58L,82M) 71341.989249.19372762237.952283431069. C305

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 1.97e-17
Skew: 1.23577
Selected: Best

n: 27350083489982306592409566026460562035192501601809349972427146874189670344871026644350308451170020658702618479535653433820839922795132346533238959549612079540430002227290648645793645421061566505802439251588666331759192058241633058565692327261852919604786912174729111797959347556143960610220498924424607313
# 2^2378+1 Aurifeuillian L, difficulty: 357.92, skewness: 0.89
# cost: 1.31419e+22, est. time: 6258043.74 GHz days (not accurate yet!)
# Optimized skew: 1.23577 Murphy: 1.97e-17
skew: 1.23577
c6: 2
c3: -2
c0: 1
Y1: -1
Y0: 401734511064747568885490523085290650630550748445698208825344
type: snfs