2LM

2^2446+1 L

Open composite · C296 · component L

NFS Planning

GNFS Murphy estimate: 1.52e-20
SNFS Murphy score: 1.28e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.17057

Identifiers

Target expression: 2^1223+1-2^612
Target value: 144439074515673158720724949080128706438642425359068843866970804223953784568476037236842693968934594817599437382358865231016025829751162969207532818595137180147149468098361218351316272840390890802706233710255390318717480191659665217533636981052163792383528324955366254136116871170765529660108236762044144290592807781550442263824003559729272625985818900133202901453504513
Target link: FactorDB page
Target ID: 1100000000001686259
Target changed: -
Parent query: 2^2446+1
Parent ID: -
Cofactor token: C296
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

44029.68489.1049555419229055764369034521479827628653960157386216335365932049.C296

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.28e-17
Skew: 1.17057
Selected: Best

n: 45637271840037460991747401969385827207950725531650053651227468666181057167180534812071478836515549496852166403163227321707078204799247400264190000697256082863662016507058005682840167921475296918045878896720272913117453687310057769930175713054738161875683053754478955149906154885361406786909176477
# 2^2446+1 Aurifeuillian L, difficulty: 368.46, skewness: 1.09
# cost: 2.49966e+22, est. time: 11903152.28 GHz days (not accurate yet!)
# Optimized skew: 1.17057 Murphy: 1.28e-17
skew: 1.17057
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 11417981541647679048466287755595961091061972992
type: snfs