#include using namespace std; #define rep(i, n) for (int i = 0; i < (n); i++) #define per(i, n) for (int i = (n)-1; i >= 0; i--) #define rep2(i, l, r) for (int i = (l); i < (r); i++) #define per2(i, l, r) for (int i = (r)-1; i >= (l); i--) #define each(e, v) for (auto &e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; template using minheap = priority_queue, greater>; template using maxheap = priority_queue; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template int flg(T x, int i) { return (x >> i) & 1; } template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template void printn(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << '\n'; } template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template vector id_sort(const vector &v, bool greater = false) { int n = v.size(); vector ret(n); iota(begin(ret), end(ret), 0); sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; }); return ret; } template pair operator+(const pair &p, const pair &q) { return make_pair(p.first + q.first, p.second + q.second); } template pair operator-(const pair &p, const pair &q) { return make_pair(p.first - q.first, p.second - q.second); } template istream &operator>>(istream &is, pair &p) { S a; T b; is >> a >> b; p = make_pair(a, b); return is; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; // const int MOD = 1000000007; const int MOD = 998244353; template void divisors_zeta_transform(vector &a, bool upper) { int n = a.size(); vector is_prime(n, true); if (!upper) { for (int i = 1; i < n; i++) a[0] += a[i]; } for (int i = 2; i < n; i++) { if (!is_prime[i]) continue; if (upper) { for (int j = (n - 1) / i; j > 0; j--) { is_prime[j * i] = false; a[j] += a[j * i]; } } else { for (int j = 1; j * i < n; j++) { is_prime[j * i] = false; a[j * i] += a[j]; } } } if (upper) { for (int i = 1; i < n; i++) a[i] += a[0]; } } template void divisors_mobius_transform(vector &a, bool upper) { int n = a.size(); vector is_prime(n, true); if (upper) { for (int i = 1; i < n; i++) a[i] -= a[0]; } for (int i = 2; i < n; i++) { if (!is_prime[i]) continue; if (upper) { for (int j = 1; j * i < n; j++) { is_prime[j * i] = false; a[j] -= a[j * i]; } } else { for (int j = (n - 1) / i; j > 0; j--) { is_prime[j * i] = false; a[j * i] -= a[j]; } } } if (!upper) { for (int i = 1; i < n; i++) a[0] -= a[i]; } } int main() { int T; cin >> T; int MAX = 10000000; // vector c(MAX + 1, 0); // c[1] = 1; // divisors_mobius_transform(c, false); // print(c); vector dp(MAX + 1, 0); rep2(i, 1, MAX + 1) { dp[i] += i - 1; for (int j = i + i; j <= MAX; j += i) dp[j] -= dp[i]; } rep2(i, 1, MAX + 1) dp[i] += dp[i - 1]; while (T--) { int N; cin >> N; cout << 1LL * N * (N - 1) - dp[N] << '\n'; } }