2LM

2^2714+1 M

Open composite · C307 · component M

NFS Planning

GNFS Murphy estimate: 3.49e-21
SNFS Murphy score: 8.07e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.32633

Identifiers

Target expression: 2^1357+1+2^679
Target value: 3145604489732036216365934499989962674798357010864446456587433354871406554259603910562982278509976061426345669606916919050023073552094798197365051940034013220374740040055081652097235173818950351760556526784803757480704051592883862581741695945709250274043636512084023186594187668173494717552133460069560710155492808799648530200144669774990614308900883840280140043306070586254255413146473052510241795102170152961
Target link: FactorDB page
Target ID: 1100000000001959262
Target changed: -
Parent query: 2^2714+1
Parent ID: -
Cofactor token: C307
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(46L,118M) 2356789827042977.10457862804878827549.2792325798286747697838270202593011872166389.C307

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 8.07e-19
Skew: 1.32633
Selected: Best

n: 9456417648475452261736812951699200177410815286160878044614539411516179286599556064023289289332072432487602506401791867661911448350724589378003484444279354084618554945483969050028092987941376841847789119137300527158122870509092234657522723245734399361440262455722644935222948432976807124674553205662460015777
# 2^2714+1 Aurifeuillian M, difficulty: 409.40, skewness: 1.30
# cost: 2.751e+23, est. time: 130999905.76 GHz days (not accurate yet!)
# Optimized skew: 1.32633 Murphy: 8.07e-19
skew: 1.32633
c8: 1
c4: 4
c0: 8
Y1: -1
Y0: 1496577676626844588240573268701473812127674924007424
type: snfs