3^857-1

Open composite · C409

NFS Planning

GNFS Murphy estimate: 4.23e-27
SNFS Murphy score: 1.00e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 7
SNFS skew: 1.25747

Identifiers

Target expression: 3^857-1
Target link: FactorDB page
Target ID: 1000000000018247155
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C409
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(1) C409

SNFS Polynomial

Polynomial

Degree: 7
Murphy: 1.00e-18
Skew: 1.25747
Selected: Best

n: 3907376849755223427106815110905259947580541006135280112191548606196828922890495633681522570457311943416392351928053946971749894135703557877068816678462406552386602269093795191855402808350631128629284192511506474605096934757855940355700916452975052177814495121635894894230810773377707519399250182996267017264999698929528659257798070550540169992051688455423118451968407560322309618585904806061043485569839811281
# 3^857-1, difficulty: 408.89, skewness: 1.60
# cost: 2.67278e+23, est. time: 127275049.93 GHz days (not accurate yet!)
# Optimized skew: 1.25747 Murphy: 1.00e-18
skew: 1.25747
c7: 1
c0: -27
Y1: -16173092699229880893718618465586445357583280647840659957609
Y0: 1
type: snfs