2LM

2^2886+1 L

Open composite · C242 · component L

NFS Planning

GNFS Murphy estimate: 2.05e-17
SNFS Murphy score: 1.36e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.91885

Identifiers

Target expression: 2^1443+1-2^722
Target value: 243379359099696592952569079439667912256345493617967967903663304046694730937728538858585153926879016556364054893437081621138763288674441707630312629315227224479425669515849481764394065472108689602686330713117020467873787550244039303525586908356366437896022614570309873105802531098507492126094331544461195594252441874941300996028064026304439062260618099843574769096620623018901331142001075398969715873170882173701971286764493907012091905
Target link: FactorDB page
Target ID: 1100000000001131102
Target changed: -
Parent query: 2^2886+1
Parent ID: -
Cofactor token: C242
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,26L,74L,78M,222M,962M) 718446613.1392460369. C242

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.36e-15
Skew: 0.91885
Selected: Best

n: 30261528490127283970296696393145245816927436148502912885479778992802121218981721320274538480010044296010508029396518240014581758412806152459380507757564116455398256201369388044048187822641870224164361076756600675698832330006253717924634583213
# 2^2886+1 Aurifeuillian L, difficulty: 289.59, skewness: 0.84
# cost: 1.49523e+20, est. time: 71201.65 GHz days (not accurate yet!)
# Optimized skew: 0.91885 Murphy: 1.36e-15
skew: 0.91885
c8: 4
c6: -4
c4: 2
c2: -2
c0: 1
Y1: -1
Y0: 1329227995784915872903807060280344576
type: snfs