2LM

2^2342+1 M

Open composite · C291 · component M

NFS Planning

GNFS Murphy estimate: 2.96e-20
SNFS Murphy score: 3.23e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.23364

Identifiers

Target expression: 2^1171+1+2^586
Target value: 32071917236569804359352919638254932097308197515921089652428844601662346518117460644612991320408966715049689484819698310994701324572445193352162111332134748519695370405271632375234088343905559743141758526296333400211709595110939334237855436551088984886395480329105694887439302576740029695027219191950507806604876678502389187843490165291241779494610010113
Target link: FactorDB page
Target ID: 1100000000002432940
Target changed: -
Parent query: 2^2342+1
Parent ID: -
Cofactor token: C291
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

48683833797258887803873869559647868668592406036216260291169981. C291

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 3.23e-17
Skew: 1.23364
Selected: Best

n: 658779613991197077700636106176737094830506116832959579040976648016893440295877873128493016067376404806269228923277166849974931874927103225531819911432529596938102282036651553121711021367778924873587672125128121463254078930506177533268925705428442866463033521956272396749167827058431184231573
# 2^2342+1 Aurifeuillian M, difficulty: 352.51, skewness: 0.89
# cost: 9.40003e+21, est. time: 4476206.05 GHz days (not accurate yet!)
# Optimized skew: 1.23364 Murphy: 3.23e-17
skew: 1.23364
c6: 2
c3: 2
c0: 1
Y1: -1
Y0: 50216813883093446110686315385661331328818843555712276103168
type: snfs