2LM

2^2942+1 M

Open composite · C365 · component M

NFS Planning

GNFS Murphy estimate: 1.51e-24
SNFS Murphy score: 9.75e-20
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.06811

Identifiers

Target expression: 2^1471+1+2^736
Target value: 65331649240914804390869267210887480515100091472884321257613223092241145392066467932718025309191959466139134777328814412279603162671383395333161650072791987746748992214592354864788805528699351375059564009942372570655039434244876921294205330839264014181639760656025622924969206686583599278801081321542507904905370089781410230777399796758571460930192279905130160029807486901412970624136804298078172180398061419474584352296421456621857936280387585
Target link: FactorDB page
Target ID: 1100000000001709179
Target changed: -
Parent query: 2^2942+1
Parent ID: -
Cofactor token: C365
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 23537.960028385432177.3918201534083147597671313.4630528334123232961437062654211649.C365

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 9.75e-20
Skew: 1.06811
Selected: Best

n: 31871398433194125923443367546944252456552669505913216509974522296153307921933775108122570198364628458943463870167838453164036317973911182750952449851256568709045350845994030458817909552385385824881147068826329924411513903970846532276128967409367534871726152180208519246459146752896441009806872304825067577039371413775828168586520338173619933470986057990786592111709
# 2^2942+1 Aurifeuillian M, difficulty: 443.12, skewness: 1.09
# cost: 1.78264e+24, est. time: 848878155.35 GHz days (not accurate yet!)
# Optimized skew: 1.06811 Murphy: 9.75e-20
skew: 1.06811
c8: 1
c4: 2
c0: 2
Y1: -1
Y0: 24519928653854221733733552434404946937899825954937634816
type: snfs