2LM

2^2802+1 L

Open composite · C281 · component L

NFS Planning

GNFS Murphy estimate: 1.12e-19
SNFS Murphy score: 2.14e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.30240

Identifiers

Target expression: 2^1401+1-2^701
Target value: 55338059405516240292983884373749768259664391193375187845882306657289230074122437794945916249816722610458795064331998587735771090745957214410353260362905353867842147682460900287968357923116102393279636706465003140148193077351983502344542683337879963892788181339369668681310232596323803655597613658279303455949945313955597114663139435391624328978156310963506098181028260006131554037812035098035679275377022621335467065344001
Target link: FactorDB page
Target ID: 1100000000004161105
Target changed: -
Parent query: 2^2802+1
Parent ID: -
Cofactor token: C281
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(6,934M) C281

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.14e-15
Skew: 1.30240
Selected: Best

n: 11170499612964115555874868525765478967332183005253864626320401587409409175426841269790256056195038680925207732265878990623902814909495273889424675199632307152806001141625752728468073790435172687581435233004657712884994158781302305443795666127449731439623034953764805189904506834629
# 2^2802+1 Aurifeuillian L, difficulty: 281.76, skewness: 1.19
# cost: 8.61185e+19, est. time: 41008.80 GHz days (not accurate yet!)
# Optimized skew: 1.30240 Murphy: 2.14e-15
skew: 1.30240
c8: 1
c6: -2
c4: 2
c2: -4
c0: 4
Y1: -1
Y0: 166153499473114484112975882535043072
type: snfs