2LM

2^2738+1 M

Open composite · C378 · component M

NFS Planning

GNFS Murphy estimate: 2.66e-25
SNFS Murphy score: 7.63e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.95721

Identifiers

Target expression: 2^1369+1+2^685
Target value: 12884395989942420342234867711958887115974070316500772686182127021553281246247337617665975412776861947602311862709931700428894509269380293416407252746379318150654935204065614446990275271962420640811239533700443014316575748115096149931766864220283066186146677012981275644246270785740609100851076744928805177241114638656250158877031818138059443069089186879981896563329568829760198431339908678419098488805033292857345
Target link: FactorDB page
Target ID: 1100000000005389896
Target changed: -
Parent query: 2^2738+1
Parent ID: -
Cofactor token: C378
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,74L) 147853.648165313419148121. C378

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.63e-19
Skew: 0.95721
Selected: Best

n: 978227694929955723738846255674386217924094568952166219816216104098272390751488425875612307644340624251272348492244632722175541563291913103081711313428247474640303406038048951057758615492836864737652709243512085632633963768167499338292763487620380581420294597935436635013867950958236120084099864829114411847225760415796389213715968969282409562712662805601653437871377510678092749
# 2^2738+1 Aurifeuillian M, difficulty: 412.11, skewness: 0.92
# cost: 3.20746e+23, est. time: 152736260.35 GHz days (not accurate yet!)
# Optimized skew: 0.95721 Murphy: 7.63e-19
skew: 0.95721
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 2993155353253689176481146537402947624255349848014848
type: snfs