#include #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; // totient table vector ps, pf, phi; void sieve(int mx) { pf.resize(mx+1); phi.resize(mx+1); phi[1] = 1; rep(i, mx+1) pf[i] = i; for (int i = 2; i <= mx; ++i) { if (pf[i] == i) { ps.push_back(i); phi[i] = i-1; } rep(j, ps.size()) { int x = ps[j]*i; if (x > mx) break; pf[x] = ps[j]; if (i%ps[j] == 0) { phi[x] = phi[i]*ps[j]; break; } phi[x] = phi[i]*(ps[j]-1); } } } int main() { sieve(1e7); vector s(1e7+1); rep(i, 1e7) s[i+1] = s[i]+phi[i+1]; cin.tie(nullptr) -> sync_with_stdio(false); int t; cin >> t; while (t--) { int n; cin >> n; ll ans = (ll)n*(n-1) - s[n] + 1; cout << ans << '\n'; } return 0; }