#include <bits/stdc++.h>
using namespace std;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int Need = 100;
    vector<vector<pair<int,int>>> Pf(Need+1);
    vector<bool> prime(Need+1,true);
    prime.at(0) = false; prime.at(1) = false;
    for(int i=2; i<=Need; i++){
        if(!prime.at(i)) continue;
        Pf.at(i) = {{i,1}};
        for(int k=i+i; k<=Need; k+=i){
            prime.at(k) = false;
            int f = 0,k2 = k;
            while(k2%i == 0) f++,k2 /= i;
            Pf.at(k).push_back({i,f});
        }
    }

    int T; cin >> T;
    while(T--){
        long long N; cin >> N;
        if(N == 2){cout << "P" << endl; continue;}
        int first = -1;
        for(int i=2; i<=N; i++){
            if(N%i == 0) continue;
            first = i; break;
        }

        int now = first,yes = 0,add = 1;
        for(auto [p,e] : Pf.at(now)) add *= p;
        while(now < N && N < 10000){
            int g = gcd(now,N);
            if(g == 1 && N%now){yes = 1; break;}
            now += add;
        }

        if(yes || N >= 10000) cout << "K" << endl; 
        else cout << "P" << endl;
    }
}