#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include typedef long long ll; typedef std::pair Pii; typedef std::pair Pll; typedef std::pair Pdd; #define rip(_i, _n, _s) for (int _i = (_s); _i < (int)(_n); _i++) #define all(_l) _l.begin(), _l.end() #define rall(_l) _l.rbegin(), _l.rend() #define MM << " " << template using MaxHeap = std::priority_queue<_T>; template using MinHeap = std::priority_queue<_T, std::vector<_T>, std::greater<_T>>; template inline bool chmax(_T &_l, const _T _b) { if (_b > _l) { _l = _b; return true; } return false; } template inline bool chmin(_T &_l, const _T _b) { if (_l > _b) { _l = _b; return true; } return false; } template void vdeb(const std::vector<_T> &bb) { for (unsigned int i = 0;i < bb.size();i++) { if (i == bb.size() - 1) std::cout << bb[i]; else std::cout << bb[i] << ' '; } std::cout << '\n'; } template void vdeb(const std::vector> &bb) { for (unsigned int i = 0;i < bb.size();i++) { std::cout << i << ": "; vdeb(bb[i]); } std::cout << '\n'; } using namespace std; struct Solver{ vector pris, mebius; Solver() { const int M = 60; vector da(M, 1), ps(M, 1); rip(i,M,2) { if(ps[i]) { int j = i*2; da[i] *= -1; while(j < M) { da[j] *= -1; ps[j] = 0; j += i; } j = i*i; while(j < M) { da[j] = 0; j += i*i; } } } pris = vector(); mebius = vector(); rip(i, M, 2) { if(da[i]) { pris.push_back(i); mebius.push_back(da[i]); } } } ll power(ll b, ll p, ll n) { ll ret = 1, now = b; while(p) { if(p&1) { if(n/now < ret) { return true; } else { ret *= now; } } p /= 2; if(p) { if(now > n/now) { return true; }else { now = now * now; } } } return ret > n; } ll cal(ll n, ll p) { ll y = pow((double)n, 1.0/p); ll ok = y+4, ng = max(y - 4, 0LL); while(ok-ng > 1) { ll now = (ok + ng)/2; // if(power(now, p) >= n) if(power(now, p, n)) { ok = now; } else { ng = now; } } // cerr << n MM p MM ng << endl; return ng; } ll cnt(ll x) { ll ret = 1; rip(i, mebius.size(), 0) { ret -= (cal(x, pris[i])-1) * mebius[i]; } // cerr << x MM ret << endl; return ret; } ll solve() { ll k; cin >> k; ll ok = k*k, ng = 1; while(ok - ng > 1) { ll now = (ok + ng) / 2; if(cnt(now) < k) ng = now; else ok = now; } return ok; } }; int main() { Solver sol; int t; cin >> t; vector ans(t); rip(i,t,0) ans[i] = sol.solve(); for(auto &i : ans) cout << i << endl; }