2LM

2^2810+1 L

Open composite · C315 · component L

NFS Planning

GNFS Murphy estimate: 1.20e-21
SNFS Murphy score: 7.20e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.76806

Identifiers

Target expression: 2^1405+1-2^703
Target value: 885408950488259844687742149979996292154630259094003005534116906516627681185959004719134659997067561767340721029311977403772337451935315430565652165806485661885474362919374404607493726769857638292474187303440050368614350874792700211296440122529167395492766169186087326859705395190752561619501549260465725957321954470880806382887456078732363268061793690483652066541592559023472971687662918168501057629777576452405514704257025
Target link: FactorDB page
Target ID: 1100000000003159176
Target changed: -
Parent query: 2^2810+1
Parent ID: -
Cofactor token: C315
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,10L,562M) 522661.809957042804398661. C315

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.20e-17
Skew: 0.76806
Selected: Best

n: 107662148133899785991138720357022036206577583494871875704808702427907250581240831645123939871968316703677587316294174195070592586673686048551598447367453224229151991936108672919726947578769606484973709842364385587807434473970524175722351635616847931645556343698369469053475679168432217702784828697186783159944372981
# 2^2810+1 Aurifeuillian L, difficulty: 338.36, skewness: 0.71
# cost: 3.86082e+21, est. time: 1838484.25 GHz days (not accurate yet!)
# Optimized skew: 0.76806 Murphy: 7.20e-17
skew: 0.76806
c8: 16
c7: -16
c6: 8
c4: -4
c2: 2
c1: -2
c0: 1
Y1: -1
Y0: 1393796574908163946345982392040522594123776
type: snfs