2LM

2^2858+1 L

Open composite · C352 · component L

NFS Planning

GNFS Murphy estimate: 8.56e-24
SNFS Murphy score: 2.32e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.29543

Identifiers

Target expression: 2^1429+1-2^715
Target value: 14854697210674840878452702602518793472677337256956052728495074709881270198835970389317941523857361850364017022304509376290207720256008405006732948566603224150355570649160734970971317472662883886882710614814271268790953710870018523802357953761413057476065288886163002687410322158522318303911305536366933368729552436054793595587401451016209860452362328114332675076546477122737245217589298583867740325240754876238315172220250718470145
Target link: FactorDB page
Target ID: 1100000000001424298
Target changed: -
Parent query: 2^2858+1
Parent ID: -
Cofactor token: C352
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 5717.11133193001929.12595287707738514464031850154199994382434408306334255201621089.C352

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.32e-19
Skew: 1.29543
Selected: Best

n: 3705934822949043044050268289319439995275571411064243404949568237197450099855651726194107425426351704060202425958177606295516713078183090221037571560458752653354852684259076441030884293444047320856781428822900879795539763257210029365315036371465472112719407900891650727807689527384240254879759551266461849659856825228479599609939120312222682081393032177
# 2^2858+1 Aurifeuillian L, difficulty: 431.07, skewness: 1.30
# cost: 9.23914e+23, est. time: 439959212.51 GHz days (not accurate yet!)
# Optimized skew: 1.29543 Murphy: 2.32e-19
skew: 1.29543
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 766247770432944429179173513575154591809369561091801088
type: snfs