2LM

2^2734+1 M

Open composite · C348 · component M

NFS Planning

GNFS Murphy estimate: 1.46e-23
SNFS Murphy score: 7.78e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.13885

Identifiers

Target expression: 2^1367+1+2^684
Target value: 3221098997485605085558716927989721778993517579125193171545531755388320311561834404416493853194215486900577965677482925107223627317345073354101813186594829537663733801016403611747568817990605160202809883425150885231224841978017514273429998286711012669299907579199743051252216592876017454824842447769963657372007960879090754881253036872849392962272966693526448573586567192723927511568739252718516098010518067871745
Target link: FactorDB page
Target ID: 1100000000000647502
Target changed: -
Parent query: 2^2734+1
Parent ID: -
Cofactor token: C348
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 82021.35427173.10955646370897.184778210381581846455084386672905410169.C348

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.78e-19
Skew: 1.13885
Selected: Best

n: 109517557193972455287529647879028759756071010098817851578607462574829668007685644300665714916850022514765332719285193320643375169921494666395295323628966000400063836647092504781355375597614512224746749641549688835037967090545498256303003367331793706500844724196861273077901527459262682902959022241186646638301207116180899180116387155646162919757421
# 2^2734+1 Aurifeuillian M, difficulty: 411.81, skewness: 1.09
# cost: 3.15331e+23, est. time: 150157596.48 GHz days (not accurate yet!)
# Optimized skew: 1.13885 Murphy: 7.78e-19
skew: 1.13885
c8: 1
c4: 2
c0: 2
Y1: -1
Y0: 2993155353253689176481146537402947624255349848014848
type: snfs