#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> #include <atcoder/all> using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector<int> #define vs vector<string> #define vc vector<char> #define vl vector<ll> #define vb vector<bool> #define vvi vector<vector<int>> #define vvc vector<vector<char>> #define vvl vector<vector<ll>> #define vvb vector<vector<bool>> #define vvvi vector<vector<vector<int>>> #define vvvl vector<vector<vector<ll>>> #define pii pair<int,int> #define pil pair<int,ll> #define pli pair<ll, int> #define pll pair<ll, ll> #define vpii vector<pair<int,int>> #define vpll vector<pair<ll,ll>> #define vvpii vector<vector<pair<int,int>>> #define vvpll vector<vector<pair<ll,ll>>> template<typename T> void debug(T e){ cerr << e << endl; } template<typename T> void debug(vector<T> &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template<typename T> void debug(vector<vector<T>> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template<typename T> void debug(vector<pair<T, T>> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template<typename T> void debug(set<T> &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template<typename T> void debug(multiset<T> &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template<typename T> void debug(map<T, T> &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } int main(){ // dist(x, y) は,gcd(x, y) = 1 なら 1,そうでないなら 2 になるはず // 互いに素な自然数の個数はオイラーのトーシェント関数を使えば求められる vl divisor(10000002, -1); for (ll i = 2; i <= 10000000; i++){ for (ll j = 2; j * i <= 10000000; j++){ divisor[j * i] = j; } } vl totient(10000002, 0); for (ll i = 2; i <= 10000000; i++){ ll now = i; ll div = -1; ll tot = i; while(true){ if (divisor[now] == -1){ if (now != div){ tot = tot * (now - 1); tot /= now; } break; } if (div != divisor[now]){ div = divisor[now]; tot = tot * (div - 1); tot /= div; } now /= div; } totient[i] = tot; } vl tot_sum(10000002, 0); for (ll i = 1; i <= 10000001; i++){ tot_sum[i] = tot_sum[i - 1] + totient[i]; } ll T; cin >> T; while(T--){ ll N; cin >> N; cout << N * (N - 1) - tot_sum[N] << endl; } }