#include <stdio.h>
#include <math.h>
int main() {
    int n, k, j, m;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) {
        scanf("%d", &k);
        m = sqrt(k);
        for (j = 2; j <= m; j++) {
            if (k % j == 0 || k == 1) {
                printf("No\n");
                break;
            }
        }
        if (j > m && k != 1) printf("Yes\n");
        if (k == 1) printf("No\n");

    }
}