2LM

2^2522+1 L

Open composite · C312 · component L

NFS Planning

GNFS Murphy estimate: 1.79e-21
SNFS Murphy score: 6.28e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.38291

Identifiers

Target expression: 2^1261+1-2^631
Target value: 39703110483796688392353974637466756967984246243540591450954865838636810530370179359482724921159073581094442802254795104184660210603040561325606943533620150615402715718800431616871579550405812128079846183714820354201627954858360799919001732337012495976116884065344047491899587851214832727468636196244877325098133657784741122445844002251194993038992560762263925342789757839085666305
Target link: FactorDB page
Target ID: 1100000000001700143
Target changed: -
Parent query: 2^2522+1
Parent ID: -
Cofactor token: C312
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,26L,194M) 20177.1079417.46977717697.353653416214697. C312

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 6.28e-18
Skew: 1.38291
Selected: Best

n: 429304031140663002467305629876429799518124692553667630563279852882086293692122974860467600817474794683869034110648971916029689044198163969063708049557525672955631832102137593641435478347633752703445436855963102350178261941692317990986106572273962533929909214454545334986382966882778415257328004808165101991636821
# 2^2522+1 Aurifeuillian L, difficulty: 380.50, skewness: 1.30
# cost: 5.14248e+22, est. time: 24487995.22 GHz days (not accurate yet!)
# Optimized skew: 1.38291 Murphy: 6.28e-18
skew: 1.38291
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 365375409332725729550921208179070754913983135744
type: snfs