#include <iostream>
#include <cmath>
using namespace std;

bool isPrime(int n) {
    if (n <= 1) return false;
    if (n == 2) return true;
    if (n % 2 == 0) return false;

    int sqrt_n = sqrt(n);
    for (int i = 3; i < sqrt_n; i += 2) {
        if (n % i == 0) return false;
    }
    return true;
}

int main() {
    int t, a;
    cin >> t;
    while (t--) {
        cin >> a;
        if (isPrime(a)) {
            cout << "Yes" << endl;
        } else {
            cout << "No" << endl;
        }
    }
    return 0;
}