2^1417-1

Open composite · C284

NFS Planning

GNFS Murphy estimate: 7.53e-20
SNFS Murphy score: 7.50e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.42865

Identifiers

Target expression: 2^1417-1
Target link: FactorDB page
Target ID: 1000000000000001417
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C284
Imported: Jun 03, 2026, 04:29 PM UTC

Raw pmain126 Factorization

(13,109) 111835228649.33105879921837807137.196224694354792350070473041621399.56671901892032592171296689668028440676501169.C284

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 7.50e-19
Skew: 1.42865
Selected: Best

n: 16568843203542218121651488900523056777344236728936957944454331156379406124017357472611135214764064687391451811064748454630723529393301281629304430292521721975779530292087021109623370343891747309364876202511386532055539973687471090991509901663926929563206521884484012783289354053258657
# 2^1417-1, difficulty: 393.75, skewness: 1.00
# cost: 1.11937e+23, est. time: 53303549.45 GHz days (not accurate yet!)
# Optimized skew: 1.42865 Murphy: 7.50e-19
skew: 1.42865
c6: 1
c5: 1
c4: -5
c3: -4
c2: 6
c1: 3
c0: -1
Y1: -649037107316853453566312041152512
Y0: 421249166674228746791672110734681729275580381602196445017243910145
type: snfs