2LM

2^2858+1 M

Open composite · C400 · component M

NFS Planning

GNFS Murphy estimate: 1.41e-26
SNFS Murphy score: 1.93e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.25871

Identifiers

Target expression: 2^1429+1+2^715
Target value: 14854697210674840878452702602518793472677337256956052728495074709881270198835970389317941523857361850364017022304509376290207720256008405006732948566603224150355570649160734970971317472662883886882710614814271268791298439136462398008528499274377489588290795955480822209466401495785830734375319025124974618851040472794405151434359946692250301964310373884306619545355918786119910756100372329054829201277461849837406646766006886727681
Target link: FactorDB page
Target ID: 1100000000001424299
Target changed: -
Parent query: 2^2858+1
Parent ID: -
Cofactor token: C400
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

1846023819219653272272982327949. C400

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.93e-19
Skew: 1.25871
Selected: Best

n: 8046861072981269865319264882953172005086095465702205718856438567827114242683679700246552472120438207271200756322720989047081632386691813368101967773758244404952774288200483171932083158764564088749365675582416004823024754207873090506113397892532185159115864662139137589413199056303326528404752893071667190411135602935985631548767057850945374620076624419149169540998368815554161960631407023195373260869
# 2^2858+1 Aurifeuillian M, difficulty: 431.07, skewness: 1.30
# cost: 9.23914e+23, est. time: 439959212.51 GHz days (not accurate yet!)
# Optimized skew: 1.25871 Murphy: 1.93e-19
skew: 1.25871
c8: 1
c4: 4
c0: 8
Y1: -1
Y0: 766247770432944429179173513575154591809369561091801088
type: snfs