2^1343-1

Open composite · C312

NFS Planning

GNFS Murphy estimate: 1.79e-21
SNFS Murphy score: 6.12e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.22880

Identifiers

Target expression: 2^1343-1
Target link: FactorDB page
Target ID: 1000000000000001343
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C312
Imported: Jun 03, 2026, 04:29 PM UTC

Raw pmain126 Factorization

(17,79) 41216671.548748884195638359847.525281795214043482559587344519773159.C312

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 6.12e-18
Skew: 1.22880
Selected: Best

n: 203971267637223871598398550220150478621373543862194768781221294452900734630960672172761915004388552178912526734998931296576488132911796820804262675095718810915553695224621029152369835758699429491076568860956793135803140818181928505943555612980922626781411913154371993753008679205679274179359761089379881247934577
# 2^1343-1, difficulty: 380.50, skewness: 1.00
# cost: 5.14248e+22, est. time: 24487995.22 GHz days (not accurate yet!)
# Optimized skew: 1.22880 Murphy: 6.12e-18
skew: 1.22880
c8: 1
c7: 1
c6: -7
c5: -6
c4: 15
c3: 10
c2: -10
c1: -4
c0: 1
Y1: -604462909807314587353088
Y0: 365375409332725729550921208179070754913983135745
type: snfs