#include using namespace std; struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; template vector divisors(const T &n) { vector ret; for (T i = 1; i * i <= n; i++) { if (n % i == 0) { ret.push_back(i); if (i * i != n) ret.push_back(n / i); } } sort(begin(ret), end(ret)); return ret; } template vector> prime_factor(T n) { vector> ret; for (T i = 2; i * i <= n; i++) { int cnt = 0; while (n % i == 0) cnt++, n /= i; if (cnt > 0) ret.emplace_back(i, cnt); } if (n > 1) ret.emplace_back(n, 1); return ret; } template bool is_prime(const T &n) { if (n == 1) return false; for (T i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return true; } // 1,2,...,n のうち k と互いに素である自然数の個数 template T coprime(T n, T k) { vector> ps = prime_factor(k); int m = ps.size(); T ret = 0; for (int i = 0; i < (1 << m); i++) { T prd = 1; for (int j = 0; j < m; j++) { if ((i >> j) & 1) prd *= ps[j].first; } ret += (__builtin_parity(i) ? -1 : 1) * (n / prd); } return ret; } vector Eratosthenes(const int &n) { vector ret(n + 1, true); if (n >= 0) ret[0] = false; if (n >= 1) ret[1] = false; for (int i = 2; i * i <= n; i++) { if (!ret[i]) continue; for (int j = i + i; j <= n; j += i) ret[j] = false; } return ret; } vector Eratosthenes2(const int &n) { vector ret(n + 1); iota(begin(ret), end(ret), 0); if (n >= 0) ret[0] = -1; if (n >= 1) ret[1] = -1; for (int i = 2; i * i <= n; i++) { if (ret[i] < i) continue; for (int j = i + i; j <= n; j += i) ret[j] = min(ret[j], i); } return ret; } // i 以下で i と互いに素な自然数の個数のテーブル vector Euler_totient_table(const int &n) { vector dp(n + 1, 0); for (int i = 1; i <= n; i++) dp[i] = i; for (int i = 2; i <= n; i++) { if (dp[i] == i) { dp[i]--; for (int j = i + i; j <= n; j += i) { dp[j] /= i; dp[j] *= i - 1; } } } return dp; } int main() { int MAX = 10000000; vector euler = Euler_totient_table(MAX); vector sum(MAX + 1, 0); for (int i = 1; i <= MAX; i++) sum[i] = sum[i - 1] + euler[i]; int T; cin >> T; while (T--) { int N; cin >> N; cout << 1LL * N * (N - 1) - sum[N] + 1 << '\n'; } }