#include <stdio.h>

int main () {
  int t = 0;
  int n = 0;
  
  int res = 0;
  
  long long sum[10000001] = {};
  int rem[10000001] = {};
  
  for (int i = 2; i <= 10000000; i++) {
    sum[i] = 1LL;
    rem[i] = i;
  }
  
  for (int i = 2; i <= 10000000; i++) {
    if (rem[i] > 1) {
      sum[i] = (long long)(i-1);
      for (int j = 2; i*j <= 10000000; j++) {
        sum[i*j] *= (long long)(i-1);
        rem[i*j] /= i;
        while (rem[i*j]%i == 0) {
          sum[i*j] *= (long long)i;
          rem[i*j] /= i;
        }
      }
    }
    sum[i] += sum[i-1];
  }
  
  res = scanf("%d", &t);
  while (t > 0) {
    long long ans = 0LL;
    res = scanf("%d", &n);
    ans = (long long)n;
    ans *= (long long)(n-1);
    ans -= sum[n];
    printf("%lld\n", ans);
    t--;
  }
  
  return 0;
}