2LM

2^2686+1 L

Open composite · C293 · component L

NFS Planning

GNFS Murphy estimate: 2.26e-20
SNFS Murphy score: 1.25e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.12822

Identifiers

Target expression: 2^1343+1-2^672
Target value: 191992461531496351096553619384152995287985657401394437047572836601037997696509027744322648834837406092916605810969050234986759860357348522788394283449341627220137941897893167242262889027035543930698030179519184117334466450033706010129773153456108733852211517611046929900357672955199224561246478995392366025573838051432115882250568661671435065673780654711839353196426497496866245098246945066503484066496513
Target link: FactorDB page
Target ID: 1100000000000509916
Target changed: -
Parent query: 2^2686+1
Parent ID: -
Cofactor token: C293
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(34L,158L) 639269.10695933756029.175703918844029.2366538538236891736396993.34253483955380507714888473.C293

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.25e-18
Skew: 1.12822
Selected: Best

n: 24980373207720477224548352569469395319944621194240749666042746617534943190957063951795994167548646980232518609822739082671323097360372716334840195122713171100410061541223364008107541617541725158295023119779429473652732574729483957419498656387570733741521319417707655779761872280568930892222861
# 2^2686+1 Aurifeuillian L, difficulty: 404.58, skewness: 1.09
# cost: 2.09076e+23, est. time: 99560062.14 GHz days (not accurate yet!)
# Optimized skew: 1.12822 Murphy: 1.25e-18
skew: 1.12822
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 374144419156711147060143317175368453031918731001856
type: snfs