import sys
input = sys.stdin.readline


x=3030300

Primelist=[i for i in range(x+1)]
Primelist[1]=0 # 1は素数でないので0にする.
 
for i in Primelist:
    if i*i>x:
        break
    if i==0:
        continue
    for j in range(2*i,x+1,i):
        Primelist[j]=0

for i in range(x+1):
    if Primelist[i]!=0:
        Primelist[i]=1

for i in range(1,x+1):
    Primelist[i]+=Primelist[i-1]

T=int(input())
for tests in range(T):
    N=int(input())

    if Primelist[N]!=0:
        print("P")
        continue

    ANS=N-1-(Primelist[N-1]-Primelist[N//2])

    if ANS%2!=0:
        print("P")
    else:
        print("K")