2LM

2^2498+1 M

Open composite · C271 · component M

NFS Planning

GNFS Murphy estimate: 4.27e-19
SNFS Murphy score: 7.88e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.99966

Identifiers

Target expression: 2^1249+1+2^625
Target value: 9693142207958175877039544589225282462886778868051902209705777792635940070891157070186212138954851948509385449769237085982583059229257949542384507698637732083838553642285261625212787976173435386761201233268356179001619354163932223039388677288073561407773636592542989895808922439841090916371132603931265271628112410827959469872550273961254968813991818792396806238777038019231745
Target link: FactorDB page
Target ID: 1100000000000427273
Target changed: -
Parent query: 2^2498+1
Parent ID: -
Cofactor token: C271
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 529577.5205642570488111720493819683480805334720301.341204018509113159482346004141300962381374625870169185233.C271

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.88e-18
Skew: 0.99966
Selected: Best

n: 2060995209075783028940901945060334455727314276238379410859795851954958656259601006609098059565728947887189924100398469753275162022630142693825522520333658620512622741147635160135916228281849615000308639276057161086912778859485444126454049430948631521656102691322382672489
# 2^2498+1 Aurifeuillian M, difficulty: 375.99, skewness: 0.92
# cost: 3.93004e+22, est. time: 18714489.73 GHz days (not accurate yet!)
# Optimized skew: 0.99966 Murphy: 7.88e-18
skew: 0.99966
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 91343852333181432387730302044767688728495783936
type: snfs