2LM

2^2582+1 L

Open composite · C327 · component L

NFS Planning

GNFS Murphy estimate: 2.41e-22
SNFS Murphy score: 3.73e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.81620

Identifiers

Target expression: 2^1291+1-2^646
Target value: 42630890269345378639565784380883294366168114164804422882587084187253178612422083780658132753335599861114558930756735007913507087353132912263741057456854305844937234470458246536286959000213846222445245587035516972730062318831539924645911781206751278597867379888680904052338001595897315032401087325592095599655549370259986471957328759873679871624062788314311762386270539225132211875331702785
Target link: FactorDB page
Target ID: 1100000000001041573
Target changed: -
Parent query: 2^2582+1
Parent ID: -
Cofactor token: C327
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 15493.5024694586458429351986046167371826130316951956646312584533.C327

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 3.73e-18
Skew: 0.81620
Selected: Best

n: 109523977560841990346295775621590766829688163652344636834123425034095647373267005790111709035993462239283663117419227211242163915606730614098984526163756627171663676968216047201263441490328117194449011253168282692358272269005804590789345415196588410932888894606842410693679043441384236738121911306207394229664620547415256981253
# 2^2582+1 Aurifeuillian L, difficulty: 388.63, skewness: 0.77
# cost: 8.30393e+22, est. time: 39542537.22 GHz days (not accurate yet!)
# Optimized skew: 0.81620 Murphy: 3.73e-18
skew: 0.81620
c8: 8
c4: -4
c0: 1
Y1: -1
Y0: 2923003274661805836407369665432566039311865085952
type: snfs