#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i=0; i<n; i++)
#define debug 0
#define YES cout << "Yes" << endl;
#define NO cout << "No" << endl;
using ll = long long;
using ld = long double;
const int mod = 998244353;
const int MOD = 1000000007;
const double pi = atan2(0, -1);
const int inf = 1 << 31-1;
const ll INF = 1LL << 63 - 1;
#include <time.h>
#include <chrono>

//vectorの中身を空白区切りで出力
template<typename T>
void printv(vector<T> v) {
	for (int i = 0; i < v.size(); i++) {
		cout << v[i];
		if (i < v.size() - 1) {
			cout << " ";
		}
	}
	cout << endl;
}

//vectorの中身を改行区切りで出力
template<typename T>
void print1(vector<T> v) {
	for (auto x : v) {
		cout << x << endl;
	}
}

//二次元配列を出力
template<typename T>
void printvv(vector<vector<T>> vv) {
	for (vector<T> v : vv) {
		printv(v);
	}
}

//vectorを降順にソート
template<typename T>
void rsort(vector<T>& v) {
	sort(v.begin(), v.end());
	reverse(v.begin(), v.end());
}

//昇順priority_queueを召喚
template<typename T>
struct rpriority_queue {
	priority_queue<T, vector<T>, greater<T>> pq;

	void push(T x) {
		pq.push(x);
	}

	void pop() {
		pq.pop();
	}

	T top() {
		return pq.top();
	}

	size_t size() {
		return pq.size();
	}

	bool empty() {
		return pq.empty();
	}
};

//mod mod下で逆元を算出する
//高速a^n計算(mod ver.)
ll power(ll a, ll n) {
	if (n == 0) {
		return 1;
	}
	else if (n % 2 == 0) {
		ll x = power(a, n / 2);
		x *= x;
		x %= mod;
		return x;
	}
	else {
		ll x = power(a, n - 1);
		x *= a;
		x %= mod;
		return x;
	}
}
//フェルマーの小定理を利用
ll modinv(ll p) {
	return power(p, mod - 2) % mod;
}

//Mexを求める
struct Mex {
	map<int, int> mp;
	set<int> s;
	Mex(int Max) {
		for (int i = 0; i <= Max; i++) {
			s.insert(i);
		}
	}

	int _mex = 0;
	void Input(int x) {
		mp[x]++;
		s.erase(x);
		if (_mex == x) {
			_mex = *begin(s);
		}
	}

	void Remove(int x) {
		if (mp[x] == 0) {
			cout << "Mex ERROR!: NO VALUE WILL BE REMOVED" << endl;
		}
		mp[x]--;
		if (mp[x] == 0) {
			s.insert(x);
			if (*begin(s) == x) {
				_mex = x;
			}
		}
	}

	int mex(){
		return _mex;
	}
};

//Union-Find
struct UnionFind {
	vector<int> par;
	UnionFind(int N) : par(N) {
		for (int i = 0; i < N; i++) {
			par[i] = -1;
		}
	}

	//root(x):xの根を求める関数
	int root(int x) {
		if (par[x] == -1) {
			return x;
		}
		else {
			return par[x] = root(par[x]);
		}
	}

	//isSame(x,y):xとyが同じグループならtrueを返す関数
	bool isSame(int x, int y) {
		if (root(x) == root(y)) {
			return true;
		}
		else {
			return false;
		}
	}

	//Union(x,y):xとyの根をつなげる関数
	void Union(int x, int y) {
		int X = root(x);
		int Y = root(y);
		if (X == Y) {
			return;
		}
		if (X < Y) {
			swap(X, Y);
		}
		par[X] = Y;
	}
};

int main() {
	int T;
	cin >> T;
	vector<int> prime;
	set<int> list;
	set<int> s;
	for (int i = 2; i <= 3000000; i++) {
		s.insert(i);
	}

	while (!s.empty()) {
		int a = *begin(s);
		//cout << "new prime=" << a << endl;
		prime.push_back(a);
		list.insert(a);
		s.erase(a);
		for (ll k = a; k * (ll)a <= 3000000; k++) {
			s.erase(k * a);
		}
	}

	prime.push_back(mod);
	int M = prime.size();

	rep(t, T) {
		int N;
		cin >> N;
		if (list.count(N)) {
			cout << "P" << endl;
		}
		else {
			int b = N/2;
			int u = N;
			int lb = 0, rb = M;
			int lu = 0, ru = M;
			while (lb + 1 < rb) {
				int mid = (lb + rb) / 2;
				if (prime[mid] <= b) {
					lb = mid;
				}
				else {
					rb = mid;
				}
			}
			while (lu + 1 < ru) {
				int mid = (lu + ru) / 2;
				if (prime[mid] <= u) {
					lu = mid;
				}
				else {
					ru = mid;
				}
			}

			//cout << "prime["<<lb<<"]=" << prime[lb] << " prime["<<lu<<"]=" << prime[lu] << endl;
			int p_cnt = lu - lb;

			if ((N - p_cnt) % 2 == 0) {
				cout << "P" << endl;
			}
			else {
				cout << "K" << endl;
			}
		}
	}
}