2LM

2^2626+1 M

Open composite · C339 · component M

NFS Planning

GNFS Murphy estimate: 4.86e-23
SNFS Murphy score: 2.29e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.97969

Identifiers

Target expression: 2^1313+1+2^657
Target value: 178806913580276399009445327691876325093196385913895850114126537554932756066796395689549528839846519839872238981508696670631654430513594786439458172255513842422643622288380905280134537282432936067412302182566385566398251640119515481817140718464970288383724306512400055964191426611685547235885553099130162578099079797528425015113520614523202297669986038289047680991211046557979770870026158225752065
Target link: FactorDB page
Target ID: 1100000000002782278
Target changed: -
Parent query: 2^2626+1
Parent ID: -
Cofactor token: C339
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,26L,202L) 57773.73529.8613281.11386337. C339

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.29e-18
Skew: 0.97969
Selected: Best

n: 104950412182901145598698681013358099898264174814283631591226598020023170827201132649447609645491698170946643937437001082155547755269765125783701132592062466472402337446833217795524929490100963265359474418351819986343228721065944779727058509922722951045966697623356996936293718192893026346712189160738724401697296914205701337612814706718849
# 2^2626+1 Aurifeuillian M, difficulty: 395.25, skewness: 0.92
# cost: 1.22159e+23, est. time: 58171114.01 GHz days (not accurate yet!)
# Optimized skew: 0.97969 Murphy: 2.29e-18
skew: 0.97969
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 23384026197294446691258957323460528314494920687616
type: snfs