2LM

2^2710+1 M

Open composite · C300 · component M

NFS Planning

GNFS Murphy estimate: 8.88e-21
SNFS Murphy score: 1.50e-16
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.77362

Identifiers

Target expression: 2^1355+1+2^678
Target value: 786401122433009054091483624997490668699589252716111614146858338717851638564900977640745569627494015356586417401729229762505768388023699549341262985008503305093685010013770413024308793454737587940139131696827996433940152730150290496814833855806158236686507971058882987127435923931892110826678076544927100378393533684727994456209328980224719124110689296491510522610501791624156099126650811779771008295226048513
Target link: FactorDB page
Target ID: 1100000000000192087
Target changed: -
Parent query: 2^2710+1
Parent ID: -
Cofactor token: C300
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(10M,542L) 1084001.15851812914034491781. C300

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.50e-16
Skew: 0.77362
Selected: Best

n: 294186556037174473747586605694459022339313255711970456109069937636765285381047457934783558271387973437437478437232008980604065284592630727006319661176731459753194492202267555908081000689672068648005141125599922874172727038629774904053004735394087017178175545448849328610870910069456486539022859926181
# 2^2710+1 Aurifeuillian M, difficulty: 326.32, skewness: 0.71
# cost: 1.77852e+21, est. time: 846914.63 GHz days (not accurate yet!)
# Optimized skew: 0.77362 Murphy: 1.50e-16
skew: 0.77362
c8: 16
c7: 16
c6: 8
c4: -4
c2: 2
c1: 2
c0: 1
Y1: -1
Y0: 43556142965880123323311949751266331066368
type: snfs