2LM

2^2354+1 L

Open composite · C314 · component L

NFS Planning

GNFS Murphy estimate: 1.37e-21
SNFS Murphy score: 2.74e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.23435

Identifiers

Target expression: 2^1177+1-2^589
Target value: 2052602703140467478998586856848315654227724641018949737755446054506390177159517481255231444506173869763180127028460691903660884772636492374538375125256623905260503705937384471996746478170146772473859815813228789586639249980565970858038706939652568420074929238329676855352788143918304781584424107073135058373343954215665665098630991094483889790675750748161
Target link: FactorDB page
Target ID: 1100000000004155552
Target changed: -
Parent query: 2^2354+1
Parent ID: -
Cofactor token: C314
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(22M,214M) 103577. C314

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 2.74e-17
Skew: 1.23435
Selected: Best

n: 57800625125795090687888810521421158623110958982642611072732536438346179255574526698440560445991431239880018761438916215360045427999590804266293360765379435254813462699675502881166267611272999620220270425142921017440646331293501825034250025657802562032282057551515564698622453986561860068706451095390394675672309097
# 2^2354+1 Aurifeuillian L, difficulty: 354.31, skewness: 0.89
# cost: 1.05145e+22, est. time: 5006891.13 GHz days (not accurate yet!)
# Optimized skew: 1.23435 Murphy: 2.74e-17
skew: 1.23435
c6: 2
c3: -2
c0: 1
Y1: -1
Y0: 100433627766186892221372630771322662657637687111424552206336
type: snfs