#include "bits/stdc++.h" #include using namespace std; using namespace atcoder; using ll = long long; using vl = vector; using pl = pair; struct edge {long long to;long long cost;edge(long long t,long long c):to(t),cost(c){}}; using Graph = vector>; using WGraph = vector>; constexpr int dx[8]{1,0,-1,0,1,1,-1,-1}; constexpr int dy[8]{0,1,0,-1,1,-1,1,-1}; #define rep(i, n) for(long long (i) = 0; (i) < (n); (i)++) #define reps(i, a, b) for(long long (i) = (a); (i) < (b); (i)++) #define rrep(i, a, b) for(long long (i) = (a); (i) >= (b); (i)--) #define all(v) (v).begin(), (v).end() #define pb push_back #define V vector constexpr long long MOD1 = 1000000007; constexpr long long MOD9 = 998244353; constexpr long long INF = MOD1*MOD1+1; constexpr long long LL_MAX = std::numeric_limits::max(); long long safe_mod(long long n, long long m){if(n >= 0) {return n % m;} else return (n%m + m)%m;} long long div_ceil(long long a, long long b){return (a + b - 1) / b;} long long pw(long long x,long long n) {ll ret=1;while(n>0){if(n&1){ret=ret*x;}if(n>>=1){x=x*x;}}return ret;} template T SUM(const vector &v){T ret{};return(accumulate(v.begin(), v.end(), ret));} template T MAX(const vector &v){return *max_element(v.begin(), v.end());} template T MIN(const vector &v){return *min_element(v.begin(), v.end());} template T pwmod(T x, long long n, long long m) {T ret=1;while(n>0){if(n&1)ret=ret*x%m;x=x*x%m;n>>=1;}return ret%m;} template void rsort(vector &v) {sort(v.begin(), v.end(), greater());} template bool chmax(T &a, const T& b) {if(a bool chmin(T &a, const T& b) {if(a>b){a=b;return true;}return false;} template pair mp(const T &a, const S &b){return make_pair(a, b);} template void uniquify(vector &v){sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end());} template ostream&operator<<(ostream&os,const pair&p){os<<"("< ostream&operator<<(ostream&os,const map&ma){for(auto [a,b]:ma){os<<"("< ostream &operator<<(ostream&os,const set&s){os<<"{";for(auto c:s)os< ostream &operator<<(ostream&os,const vector&v){os<<"[";for(int i=0;i vector compress(vector &a){ int n = a.size(); vector ret(n); vector temp = a; sort(a.begin(), a.end()); a.erase(unique(a.begin(), a.end()), a.end()); for(int i = 0; i < n; i++) ret[i] = lower_bound(a.begin(), a.end(), temp[i]) - a.begin(); return ret; } #define ONLINE_JUDGE #ifdef ONLINE_JUDGE #define dump(x) true #else #define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl #endif vector< int > moebius_table(int n) { vector< int > mu(n + 1, 1), p(n + 1, 1); for(int i = 2; i <= n; i++) { if(p[i] == 1) { for(int j = i; j <= n; j += i) p[j] = i; } if((i / p[i]) % p[i] == 0) mu[i] = 0; else mu[i] = -mu[i / p[i]]; } return mu; } ll sqrt_floor(ll n){ assert(n >= 0); if(n == 0 || n == 1) return n; ll ng = n; ll ok = 0; while(ng - ok > 1){ ll mid = (ok + ng) / 2; if(mid <= n / mid) ok = mid; else ng = mid; } return ok; } using lint = __int128; lint pw(lint x, ll n){lint ret=1;while(n>0){if(n&1){ret=ret*x;}if(n>>=1){x=x*x;}}return ret;} void solve(){ ll k; cin >> k; auto table = moebius_table(64); ll ok = 1e18; ll ng = 0; auto count_root = [&](ll n, ll t){ //n以下のt乗数の数 ll ret = 0; for(lint i = 2;; i++){ if(pw(i, t) <= n) ret++; else break; } return ret; }; auto f = [&](ll r) -> bool{ ll cnt = sqrt_floor(r); reps(i, 3, 61){ dump(i); dump(cnt); dump(table[i]); dump(count_root(r, i)); cnt += table[i] * count_root(r, i) * -1; } dump(cnt); return cnt >= k; }; while(ok - ng > 1){ ll mid = (ok + ng) / 2; dump(mid); if(f(mid)) ok = mid; else ng = mid; } cout << ok << '\n'; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << std::fixed << std::setprecision(15); ll cases; cin >> cases; while(cases--) solve(); return 0; }