/**
 *  - Meet Brahmbhatt
 *  - Hard work always pays off
**/
#include"bits/stdc++.h"
using namespace std;

#ifdef MeetBrahmbhatt
#include "debug.h"
#else
#define dbg(...) 72
#endif

#define endl "\n"
#define int long long
#define sz(x) (int)(x.size())

const long long INF = 4e18;
const int32_t M = 1e9 + 7;
const int32_t MM = 998244353;

const int32_t N = 1e7 + 5;
vector<int> phi(N);
vector<bool> P(N, 1);
vector<int> dp(N);

void pre() {
  iota(phi.begin(), phi.end(), 0);
  for (int i = 2; i < N; i++) {
    if (P[i]) {
      phi[i]--;
      for (int j = 2 * i; j < N; j += i) {
        P[j] = 0;
        phi[j] /= i;
        phi[j] *= (i - 1);
      }
    }
  }
  dp[2] = 1;
  for (int i = 3; i < N; i++) {
    dp[i] = dp[i - 1] + (i - 1 - phi[i]) * 2 + phi[i];
  }
}

void solve() {
  int n;
  cin >> n;
  cout << dp[n] << endl;
}

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << fixed << setprecision(9);
  int tt = 1;
  pre();
  cin >> tt;
  while (tt--) solve();
  return 0;
}