2LM

2^2906+1 M

Open composite · C409 · component M

NFS Planning

GNFS Murphy estimate: 4.23e-27
SNFS Murphy score: 1.19e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.23017

Identifiers

Target expression: 2^1453+1+2^727
Target value: 249220463718089311183430737346219942150497785464799199133351223343815404480234023791191197621124112953716792210879571580046093607602628308613440132418792677866931885584229869326739523043439298153150802650231828959102781749565055589604550824304867420585399805989770085574920429910801289161221075389152487748362711127414902127323098405907515116954016430965138482617919535276733017157163833616539713268725048149974539595862542145655899422721
Target link: FactorDB page
Target ID: 1100000000001537713
Target changed: -
Parent query: 2^2906+1
Parent ID: -
Cofactor token: C409
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

118169684594991032085819020201. C409

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.19e-19
Skew: 1.23017
Selected: Best

n: 2109005068197103827260914086911498386627562338379000269102242547434248668886612803610930087464784194240909757376123700037062795513717619728475087711096662273069726248664220251281039890423836495205526237034387520651843628236440790990838492605712002355911005284586038945247016745936125803727099027304318814296199770128401632366493448383107464265950801883670080268912262008138713960369438659161170173042170298521
# 2^2906+1 Aurifeuillian M, difficulty: 438.30, skewness: 1.30
# cost: 1.37233e+24, est. time: 653491679.12 GHz days (not accurate yet!)
# Optimized skew: 1.23017 Murphy: 1.19e-19
skew: 1.23017
c8: 1
c4: 4
c0: 8
Y1: -1
Y0: 6129982163463555433433388108601236734474956488734408704
type: snfs