5-

5^1195-1

Open composite · C285

NFS Planning

GNFS Murphy estimate
6.59e-20
SNFS Murphy score
6.42e-17
Preferred method
SNFS
SNFS possible
Yes
SNFS degree
8
SNFS skew
1.65917

Identifiers

Target expression
5^1195-1
Target link
FactorDB page
Target ID
1000000000047321219
Target changed
-
Parent query
Same as target
Parent ID
-
Cofactor token
C285
Imported
Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(1,239) L.M L (5L) 33461.3528473879269966898441.701081889433636418900685161.9857679158727467833815355215661.C250 M (5M) 1068100562605234798212347983426111899063860448991.P285 5^5h-1=(5^h-1)L.M, L=T^2-T.5^k+5^h, M=T^2+T.5^k+5^h, T=5^h+1, h=2k-1.

SNFS Polynomial

Degree
8
Murphy
6.42e-17
Skew
1.65917
Selected
Best
n: 168962987586883822477828098845030071539230625276973097528349442706235469272748113775737235428603421432670418794200436209017220703467536086609502408322107112946608198213631796434095644845874857187701867484840431305922247669429269712336930476351723243652739329454858200190134784693383991
# 5^1195-1 Aurifeuillian M, difficulty: 335.51, skewness: 1.50
# cost: 3.21815e+21, est. time: 1532450.32 GHz days (not accurate yet!)
# Optimized skew: 1.65917 Murphy: 6.42e-17
skew: 1.65917
c8: 1
c6: 5
c4: 15
c2: 25
c0: 25
Y1: -1
Y0: 867361737988403547205962240695953369140625
type: snfs