2LM

2^2778+1 L

Open composite · C276 · component L

NFS Planning

GNFS Murphy estimate: 2.19e-19
SNFS Murphy score: 2.46e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.30328

Identifiers

Target expression: 2^1389+1-2^695
Target value: 13510268409549863352779268645935002016519626756195114220186110023752253436065048289781717834427910793569041763752929342708928488951649710549402651455787439909141149336538305734367274883573267185859286305289307245451921260316631247553666367295329127087395758207876799779764757308611416558450690267650325312452414725122441708058522362046670118608122450404991454112314737707018796839304849352637252404959630478121520594945
Target link: FactorDB page
Target ID: 1100000000002403665
Target changed: -
Parent query: 2^2778+1
Parent ID: -
Cofactor token: C276
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,926M) 5557. C276

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.46e-15
Skew: 1.30328
Selected: Best

n: 102078807534791073073919501048052587513017350771198094845300142722806178946411569316453547668337939178102862393024570600050878680702562750370669234345855830883869168053297934609417071818224379154246675033641166917620918940934847524671940148046424593257717173983462424246087837
# 2^2778+1 Aurifeuillian L, difficulty: 279.36, skewness: 1.19
# cost: 7.25382e+19, est. time: 34542.02 GHz days (not accurate yet!)
# Optimized skew: 1.30328 Murphy: 2.46e-15
skew: 1.30328
c8: 1
c6: -2
c4: 2
c2: -4
c0: 4
Y1: -1
Y0: 83076749736557242056487941267521536
type: snfs