2LM

2^2522+1 L

Open composite · C312 · component L

NFS Planning

GNFS Murphy estimate
1.79e-21
SNFS Murphy raw
2.66e-18
SNFS Murphy normalized (deg 6)
2.66e-18
Preferred method
SNFS
SNFS possible
Yes
SNFS degree
6
SNFS skew
1.24404

Identifiers

Target expression
2^1261+1-2^631
Target value
39703110483796688392353974637466756967984246243540591450954865838636810530370179359482724921159073581094442802254795104184660210603040561325606943533620150615402715718800431616871579550405812128079846183714820354201627954858360799919001732337012495976116884065344047491899587851214832727468636196244877325098133657784741122445844002251194993038992560762263925342789757839085666305
Target link
FactorDB page
Target ID
1100000000001700143
Target changed
Before 6/8/2026
Parent query
2^2522+1
Parent ID
1000000000012152546
Cofactor token
C312
Imported
Jun 07, 2026, 01:41 AM UTC

Raw pmain126 Factorization

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

SNFS Polynomial

Degree
6
Raw Murphy
2.66e-18
Normalized (deg 6)
2.66e-18
Skew
1.24404
Selected
Best
n: 429304031140663002467305629876429799518124692553667630563279852882086293692122974860467600817474794683869034110648971916029689044198163969063708049557525672955631832102137593641435478347633752703445436855963102350178261941692317990986106572273962533929909214454545334986382966882778415257328004808165101991636821
# 2^2522+1 Aurifeuillian L, difficulty: 379.60, skewness: 0.89
# cost: 4.87399e+22, est. time: 23209467.71 GHz days (not accurate yet!)
# Optimized skew: 1.24404 Murphy: 2.66e-18
skew: 1.24404
c6: 2
c3: -2
c0: 1
Y1: -1
Y0: 1645504557321206042154969182557350504982735865633579863348609024
type: snfs