#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ld = long double;
#define all(x) x.begin(),x.end()
#define v(x) vector<x>
#define nl '\n'
#define fxd(x) fixed << setprecision(x)
template<class t> using ordered_set = tree<t, null_type, less<t>, rb_tree_tag, tree_order_statistics_node_update>;
template<class t> using ordered_multiset = tree<t, null_type, less_equal<t>, rb_tree_tag, tree_order_statistics_node_update>;
vector<bool> nums(1000005,true);
void sieve()
{
ll sz = nums.size()-1;
for (ll i = 2; i <= sz; i++)
{
if(nums[i])
{
for (ll j = i*i; j <= sz; j+=i)
{
nums[j] = false;
}
}
}
return;
}
int main()
{
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
nums[0] = false;
nums[1] = false;
ll n ; cin >> n;
sieve();
while (n--)
{
double x; cin >> x;
double s = sqrt(x); ll w = s;
if(s == (double)w && nums[w])
{
cout << "YES" <<nl;
}
else
{
cout << "NO" << nl;
}
}
}
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