2LM

2^2686+1 M

Open composite · C309 · component M

NFS Planning

GNFS Murphy estimate
2.67e-21
SNFS Murphy score
1.25e-18
Preferred method
SNFS
SNFS possible
Yes
SNFS degree
8
SNFS skew
1.15107

Identifiers

Target expression
2^1343+1+2^672
Target value
191992461531496351096553619384152995287985657401394437047572836601037997696509027744322648834837406092916605810969050234986759860357348522788394283449341627220137941897893167242262889027035543930698030218710250602593205945616509221342889989633962994827139207478371334830920603487601189476540949466450043495594555852423485018073164691488031746015551681054058839695435563783881610100281235829663454046715905
Target link
FactorDB page
Target ID
1100000000000509917
Target changed
-
Parent query
2^2686+1
Parent ID
-
Cofactor token
C309
Imported
Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,34M,158M) 449336370691608213713.4712432201031931532969.8977987418211944923397393.C309

SNFS Polynomial

Degree
8
Murphy
1.25e-18
Skew
1.15107
Selected
Best
n: 634866568665704289865640135326192321011232398415450453847130903118147679411564567737189543644936104066303833648551671294295049944093455998747775236459930911184619056874522497670244865500682711064922326517655007455365073113208942375917767167879808802363153544123396961654421724922311352637323657588150695089821
# 2^2686+1 Aurifeuillian M, difficulty: 404.58, skewness: 1.09
# cost: 2.09076e+23, est. time: 99560062.14 GHz days (not accurate yet!)
# Optimized skew: 1.15107 Murphy: 1.25e-18
skew: 1.15107
c8: 1
c4: 2
c0: 2
Y1: -1
Y0: 374144419156711147060143317175368453031918731001856
type: snfs