2LM

2^2854+1 L

Open composite · C356 · component L

NFS Planning

GNFS Murphy estimate: 5.02e-24
SNFS Murphy score: 2.57e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.77243

Identifiers

Target expression: 2^1427+1-2^714
Target value: 3713674302668710219613175650629698368169334314239013182123768677470317549708992597329485380964340462591004255576127344072551930064002101251683237141650806037588892662290183742742829368165720971720677653703567817197695336684199146674818170251232710354988133837876023231595570622472640522169824697996978185917202104421246954415980550794547409924097076307336425710535439072761478112083440427818548971805600347359692358736843158585345
Target link: FactorDB page
Target ID: 1100000000002939678
Target changed: -
Parent query: 2^2854+1
Parent ID: -
Cofactor token: C356
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 25353125799833948317.2661178508837113542049.321616184125251662004127705172957.C356

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.57e-19
Skew: 0.77243
Selected: Best

n: 34228699165344714202574296185914968293430195971754633616434754321628445724917043569341835077887690493836339143851873952642156508064608182490972504724253612700027023882153460853272398332950848646437230192083520147900263350203170436000074369878920544119223803638607838474244591699701476857512270942271376364336893489911270678251270468116705984412181250918149
# 2^2854+1 Aurifeuillian L, difficulty: 429.57, skewness: 0.77
# cost: 8.50386e+23, est. time: 404945882.16 GHz days (not accurate yet!)
# Optimized skew: 0.77243 Murphy: 2.57e-19
skew: 0.77243
c8: 8
c4: -4
c0: 1
Y1: -1
Y0: 383123885216472214589586756787577295904684780545900544
type: snfs