2LM

2^2778+1 M

Open composite · C224 · component M

NFS Planning

GNFS Murphy estimate: 2.27e-16
SNFS Murphy score: 1.95e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.36127

Identifiers

Target expression: 2^1389+1+2^695
Target value: 13510268409549863352779268645935002016519626756195114220186110023752253436065048289781717834427910793569041763752929342708928488951649710549402651455787439909141149336538305734367274883573267185859286305289307574210415107089975450115534047303370723983633434656243018422321199104371060126002072371808842661730616411557995219197129425761185755095863895893414619854867859908498242367092236331622120175129459933949754081281
Target link: FactorDB page
Target ID: 1100000000002403668
Target changed: -
Parent query: 2^2778+1
Parent ID: -
Cofactor token: C224
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(6,926L) 75994969.479855053.55890066690395434294563191619451719697.C224

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.95e-15
Skew: 1.36127
Selected: Best

n: 21409330678628317788193724281270525046879025688263888644684926016898301580758626926314704641232334367219307535643452068730295249921785493686897244838319435659677456098079223716420190987084889985713783140274622335044803245681
# 2^2778+1 Aurifeuillian M, difficulty: 279.36, skewness: 1.19
# cost: 7.25382e+19, est. time: 34542.02 GHz days (not accurate yet!)
# Optimized skew: 1.36127 Murphy: 1.95e-15
skew: 1.36127
c8: 1
c6: 2
c4: 2
c2: 4
c0: 4
Y1: -1
Y0: 83076749736557242056487941267521536
type: snfs