#include "bits/stdc++.h"
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;

// clang-format off
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...)
#endif
 
using ll = long long;
using str = string;
using AR2 = array<int, 2>;
template <class T> using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <class T> using vec = vector<T>;
template <class T> using vvec = vec<vec<T>>;
template <class T> using vvvec = vec<vvec<T>>;
template <class T, size_t SZ> using vac = vec<array<T, SZ>>;
template <class T, size_t SZ> using vvac = vec<vac<T, SZ>>;
template <class T> using priority_queue_min = priority_queue<T, vec<T>, greater<T>>;
 
 
#define sz(x) int((x).size())
#define all(x) begin(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define pb push_back
 
#define F_OR(i, a, b, s) for (int i=(a); (s)>0?i<(int)(b):i>(int)(b); i+=(s))
#define F_OR1(e) F_OR(i, 0, e, 1)
#define F_OR2(i, e) F_OR(i, 0, e, 1)
#define F_OR3(i, b, e) F_OR(i, b, e, 1)
#define F_OR4(i, b, e, s) F_OR(i, b, e, s)
#define GET5(a, b, c, d, e, ...) e
#define F_ORC(...) GET5(__VA_ARGS__, F_OR4, F_OR3, F_OR2, F_OR1)
#define FOR(...) F_ORC(__VA_ARGS__)(__VA_ARGS__)
#define E_ACH2(x, a) for (auto& x: a)
#define E_ACH3(x, y, a) for (auto& [x, y]: a)
#define E_ACH4(x, y, z, a) for (auto& [x, y, z]: a)
#define E_ACHC(...) GET5(__VA_ARGS__, E_ACH4, E_ACH3, E_ACH2)
#define EACH(...) E_ACHC(__VA_ARGS__)(__VA_ARGS__)
 
constexpr int popcount(int x) { return __builtin_popcount(x); }
constexpr int bitlength(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); }
ll cdiv(ll a, ll b) { return a/b + ((a^b) > 0 && a % b); };
ll fdiv(ll a, ll b) { return a/b - ((a^b) < 0 && a % b); };
template <class T> T pop(vec<T> &v) { T x = v.back(); v.pop_back(); return x; }
template <class T> bool bounds(T a, T lo, T hi) { return lo <= a && a <= hi; }
template <class T> T truemod(T x, T M) { return (x % M + M) % M; }
template <class T> bool umin(T &a, const T &b) { return b < a ? a = b, 1 : 0; }
template <class T> bool umax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
template <class T> int lwb(vec<T> &a,  T &b) { return int(lower_bound(all(a), b) - begin(a)); }
template <class T> int upb(vec<T> &a,  T &b) { return int(upper_bound(all(a), b) - begin(a)); }
template <class T> void removeDupes(vec<T> &v) { sort(all(v)); v.erase(unique(all(v)), end(v)); }
template <class T, class U> void eraseOne(T &t,  U &u) { auto it = t.find(u); assert(it != end(t)); t.erase(it); }
template <class T, class U> T firstTrue(T lo, T hi, U f) {
    ++hi; assert(lo <= hi);
    while (lo < hi) {
        T mi = lo + (hi-lo) / 2;
        f(mi) ? hi = mi : lo = mi + 1;
    }
    return lo;
}
template <class T, class U> T lastTrue(T lo, T hi, U f) {
    --lo; assert(lo <= hi);
    while (lo < hi) {
        T mi = lo + (hi-lo+1) / 2;
        f(mi) ? lo = mi : hi = mi - 1;
    }
    return lo;
}
 
template <class T, size_t SZ> istream &operator>>(istream &s, array<T, SZ>& v) { FOR(sz(v)) s >> v[i]; return s; }
template <class T> istream &operator>>(istream &s, vec<T>& v) { FOR(sz(v)) s >> v[i]; return s; }
template <class T> ostream &operator<<(ostream &s, vec<T>& v) { FOR(sz(v)) s << (i?" ":"") << v[i]; return s; }
template <class T> ostream &operator<<(ostream &s, const vec<T>& v) { FOR(sz(v)) s << (i?" ":"") << v[i]; return s; }
 
template<class A> void write(A x) { cout << x; }
template<class H, class... T> void write(const H& h, const T&... t) { 
	write(h); write(t...); }
void print() { write("\n"); }
template<class H, class... T> void print(const H& h, const T&... t) { 
	write(h); if (sizeof...(t)) write(" "); print(t...); }
 
void decrement() {}
template <class T, size_t SZ> void decrement(vec<array<T, SZ>> &v) { EACH(row, v) EACH(x, row) --x; }
template <class T> void decrement(vec<vec<T>> &v) { EACH(row, v) EACH(x, row) --x; }
template <class T> void decrement(vec<T> &v) { EACH(x, v) --x; }
template <class T, class... U> void decrement(T &t, U &...u) { --t; decrement(u...); }
 
template <class T> void read(T& x) { cin >> x; }
template<class T, class... U> void read(T &t, U &...u) { read(t); read(u...); }
#define ints(...) int __VA_ARGS__; read(__VA_ARGS__);
#define int1(...) ints(__VA_ARGS__); decrement(__VA_ARGS__);
#define vint(n, a) int n; cin >> n; vec<int> a(n); cin >> a;
#define vin(n, a) vec<int> a((n)); cin >> a;
#define vvin(n, m, a) vec<vec<int>> a((n), vec<int>((m))); cin >> a;
#define vain(n, m, a) vec<array<int, (m)>> a((n)); cin >> a;
#define graphin(n, m, adj) vvec<int> adj(n); FOR(m) {int1(u, v); adj[u].pb(v); adj[v].pb(u); }
#define wgraphin(n, m, adj) vvac<int, 2> adj(n); FOR(m) {int1(u, v); ints(w); adj[u].pb({v,w}); adj[v].pb({u,w}); }
#define dgraphin(n, m, adj) vvec<int> adj(n); FOR(m) {int1(u, v); adj[u].pb(v);}
#define dwgraphin(n, m, adj) vvac<int, 2> adj(n); FOR(m) {int1(u, v, w); adj[u].pb({v, w+1});}

// clang-format on
vector<int> mobiussieve(int n) {
    vector<int> m(n + 1, -1), p(n + 1, 1);
    m[0] = 0, m[1] = 1;
    for (int i = 2; i <= n; i++)
        if (p[i])
            for (int j = 2; j * i <= n; j++) {
                if (j % i)
                    m[i * j] = m[i] * m[j];
                else
                    m[i * j] = 0;
                p[i * j] = 0;
            }
    return m;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    const int MX = 1e7 + 123;
    vector<int> mu = mobiussieve(MX);
    vector<int> pmu(MX + 1);
    FOR(i, MX) pmu[i + 1] = pmu[i] + mu[i];

    ints(T);
    FOR(tc, T) {
        ints(N);
        int i = 1;
        ll ans = 0;
        while (i <= N) {
            int la = N / (N / i);
            la = min(la, N);
            ll s = pmu[la + 1] - pmu[i];
            ans += s * (N / i) * (N / i);
            i = la + 1;
        }
        ans -= 1;
        ans /= 2;
        print((ll)N * (N - 1) - ans);
    }
    return 0;
}