3^823-1

Open composite · C224

NFS Planning

GNFS Murphy estimate: 2.27e-16
SNFS Murphy score: 3.15e-18
Preferred method: GNFS
SNFS possible: Yes
SNFS degree: 7
SNFS skew: 2.03330

Identifiers

Target expression: 3^823-1
Target link: FactorDB page
Target ID: 1000000000018246951
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C224
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(1) 974228888530699445757319146555496498314349.4993306712740682373278028175457833409641267771297902870921089197.1181944190217838168575602563426725286703053115907380051630816233.C224

SNFS Polynomial

Polynomial

Degree: 7
Murphy: 3.15e-18
Skew: 2.03330
Selected: Best

n: 40748949915950995871296595901660395736301485857665764453058168780845147455521852112261331598515348711831560675525154568456063761639614337926502880337939255896328669103180526065363986921703931363806369768772107209730857569237
# 3^823-1, difficulty: 394.10, skewness: 1.60
# cost: 1.1427e+23, est. time: 54414305.22 GHz days (not accurate yet!)
# Optimized skew: 2.03330 Murphy: 3.15e-18
skew: 2.03330
c7: 1
c0: -27
Y1: -1
Y0: 199667811101603467823686647723289448859052847504205678489
type: snfs