2LM

2^2782+1 M

Open composite · C256 · component M

NFS Planning

GNFS Murphy estimate
3.17e-18
SNFS Murphy score
4.84e-19
Preferred method
GNFS
SNFS possible
Yes
SNFS degree
8
SNFS skew
1.12530

Identifiers

Target expression
2^1391+1+2^696
Target value
54041073638199453411117074583740008066078507024780456880744440095009013744260193159126871337711643174276167055011717370835713955806598842197610605823149759636564597346153222937469099534293068743437145221157229968083166581586557597900268509205441299038296062176605855046728354621724596936456907383076853297644263959796427365649910639330227383895714138085235313676918317432513523940581558347503612930348010279970782838785
Target link
FactorDB page
Target ID
1100000000003137417
Target changed
-
Parent query
2^2782+1
Parent ID
-
Cofactor token
C256
Imported
Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,26L,214L) 261509.3502359953.2957271113317.26871260735530745661938727514781.1821694954041293648696551508165857.175233583569249186371051910689505221.C256

SNFS Polynomial

Degree
8
Murphy
4.84e-19
Skew
1.12530
Selected
Best
n: 8887108141598089130498889639418361964983605711514262271244413828453555648795526601127584632119575838391419820151603849562268186736411302713622769201870163097778248524878031051098930341041145727157094366075686354992457258043439125489784380603922642325491757
# 2^2782+1 Aurifeuillian M, difficulty: 419.03, skewness: 1.09
# cost: 4.73536e+23, est. time: 225493135.72 GHz days (not accurate yet!)
# Optimized skew: 1.12530 Murphy: 4.84e-19
skew: 1.12530
c8: 1
c4: 2
c0: 2
Y1: -1
Y0: 23945242826029513411849172299223580994042798784118784
type: snfs