2LM

2^2746+1 M

Open composite · C315 · component M

NFS Planning

GNFS Murphy estimate: 1.20e-21
SNFS Murphy score: 5.89e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.31326

Identifiers

Target expression: 2^1373+1+2^687
Target value: 206150335839078725475757883391342193855585125064012362978914032344852499939957401882655606604429791161636989803358907206862312148310084694662516043942069090410478963265049831151844404351398730252979832539205161909765328532277851512964832280405797245085711392561888051578789185542688216992237711365048289408894827760178648214256745137968893543745394831350223572241072701982537035522217958865245984982036064942161921
Target link: FactorDB page
Target ID: 1100000000000777732
Target changed: -
Parent query: 2^2746+1
Parent ID: -
Cofactor token: C315
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

2061411217.123906905264936191900371461.3087336030784630987111904292952533751819819091234578501058796413.C315

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 5.89e-19
Skew: 1.31326
Selected: Best

n: 261420716310007306469483049395791488467362334739294281278169574112347555225916919859741419059268329829790700880088561046532809691424219154362549757849795853106586175182261498351169114750083246119774123523729912580784812356318150184983102240463497293229448956585197876382944619022997370203461164947734167957861757441
# 2^2746+1 Aurifeuillian M, difficulty: 414.22, skewness: 1.30
# cost: 3.61272e+23, est. time: 172034358.95 GHz days (not accurate yet!)
# Optimized skew: 1.31326 Murphy: 5.89e-19
skew: 1.31326
c8: 1
c4: 4
c0: 8
Y1: -1
Y0: 5986310706507378352962293074805895248510699696029696
type: snfs