2LM

2^2822+1 L

Open composite · C396 · component L

NFS Planning

GNFS Murphy estimate: 2.40e-26
SNFS Murphy score: 3.53e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.77901

Identifiers

Target expression: 2^1411+1-2^706
Target value: 56666172831248630060015497598719762697896336582016192354183482017064171595901376302024618239812323953109806145875966553841429596923860187556201738611615082360670359226839961894879598513270888850718347987420163225947859339880404144766935635372164355478089266492691477974250989867000169068740307459592414713628231235824741656072638724471576897238298926872214749510704544557442474853553606752649431220482342230493329718702505985
Target link: FactorDB page
Target ID: 1100000000003619603
Target changed: -
Parent query: 2^2822+1
Parent ID: -
Cofactor token: C396
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,34M,166L) C396

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 3.53e-19
Skew: 0.77901
Selected: Best

n: 222637266565382128410659998852215840694746996029026823338214837769090449811716915287551767271389320951668151132296957832018396283355566910504671012745346286367255703739342427374992786807107089823126174260609305710838195221768255267131746446330493324610530290565498126442808115882002760788550053912797342779511092620865965361555687157029808630764953364235549339736405870038638518119398153311090181
# 2^2822+1 Aurifeuillian L, difficulty: 424.75, skewness: 0.77
# cost: 6.51408e+23, est. time: 310194398.21 GHz days (not accurate yet!)
# Optimized skew: 0.77901 Murphy: 3.53e-19
skew: 0.77901
c8: 8
c4: -4
c0: 1
Y1: -1
Y0: 95780971304118053647396689196894323976171195136475136
type: snfs