#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll=int;
using ld=long double;
ld pie=3.14159265359;
ll inf=1001000000;
ll mod=1000000007;
int64_t euler_phi(int64_t n) {
  int64_t ret = n;
  for(int64_t i = 2; i * i <= n; i++) {
    if(n % i == 0) {
      ret -= ret / i;
      while(n % i == 0) n /= i;
    }
  }
  if(n > 1) ret -= ret / n;
  return ret;
}
int main(){
    ll t;
    cin >> t;
    vector<long long>ans(10000005,0);
    ans[2]=1;
    for (ll i = 3; i < ans.size(); i++)
    {
        ll x=euler_phi(i);
        ans[i]=ans[i-1]+x+(i-1-x)*2;
    }
    for (ll o = 0; o < t; o++)
    {
        ll n;
        cin >> n;
        cout << ans[n] << endl;
    }
    
}