2LM

2^2702+1 L

Open composite · C283 · component L

NFS Planning

GNFS Murphy estimate: 8.60e-20
SNFS Murphy raw: 5.01e-17
SNFS Murphy normalized (deg 6): 5.01e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 2.02214

Identifiers

Target expression: 2^1351+1-2^676
Target value: 49150070152063065880717726562343166793724328294756975884178646169865727410306311102546598101718375959786651087608076860156610524251481221833828936563031456568355313125860650814019299590921099246258695730659839112268672150678565123938795947626106347183157471292506942646159115940419237277514435079347366998949388677285585962154857100965878978453500370767297212798166271313639602545395332828604088318649434113
Target link: FactorDB page
Target ID: 1100000000002868620
Target changed: Before 6/8/2026
Parent query: 2^2702+1
Parent ID: 1000000000012152726
Cofactor token: C283
Imported: Jun 07, 2026, 01:41 AM UTC

Raw pmain126 Factorization

(14L,386L) 2450609768766509113.44060447683117907329.48290946291345748195670137.C283

SNFS Polynomial

Polynomial

Degree: 6
Raw Murphy: 5.01e-17
Normalized (deg 6): 5.01e-17
Skew: 2.02214
Selected: Best

n: 6644583351545235655085086794079833275439148331233448176024565490036053766514507880722691001091725715548519518113078177451877850890466932377941473383191051776240011629103049602443301840675626861535827400303344295339973528468739301632081703432391236743227398932445355590936502667495969
# 2^2702+1 Aurifeuillian L, difficulty: 348.59, skewness: 1.41
# cost: 7.36524e+21, est. time: 3507255.12 GHz days (not accurate yet!)
# Optimized skew: 2.02214 Murphy: 5.01e-17
skew: 2.02214
c6: 1
c5: 2
c4: -10
c3: -20
c2: 16
c1: 32
c0: 8
Y1: -79228162514264337593543950336
Y0: 12554203470773361527671578846415332832204710888928069025793
type: snfs