using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var ans = new long[t];
        for (var u = 0; u < t; ++u)
        {
            var k = NN;
            var ok = 1_000_000_000_000_000_001L;
            var ng = 0L;
            while (ok - ng > 1)
            {
                var mid = (ok + ng) / 2;
                var count = 0L;
                foreach (var j in primes)
                {
                    var iok = 1L;
                    var ing = max[j] + 1;
                    while (ing - iok > 1)
                    {
                        var imid = (iok + ing) / 2;
                        if (IsOverN(imid, j, mid)) ing = imid;
                        else iok = imid;
                    }
                    count += iok - 1;
                }
                ++count;
                if (count >= k) ok = mid;
                else ng = mid;
            }
            ans[u] = ok;
        }
        WriteLine(string.Join("\n", ans));
    }
    static int[] primes = new int[] { 2, 3, 5, 7, 11, 13, 17, 23, 29, 31, 37, 41, 43, 47, 53, 59 };
    static long[] max = new long[] { 0, 0, 1_000_000_000, 1_000_000, 31622, 3981, 1000, 372, 177, 100,
        63, 43, 31, 24, 19, 15, 13, 11, 10, 8,
        7, 7, 6, 6, 5, 5, 4, 4, 4, 4,
        3, 3, 3, 3, 3, 3, 3, 3, 2, 2,
        2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 };
    static bool IsOverN(long i, int j, long n)
    {
        var prev = 1L;
        var ij = 1L;
        for (var x = 0; x < j; ++x)
        {
            ij *= i;
            if (prev >= ij || ij % i != 0) return true;
            prev = ij;
        }
        return ij > n;
    }
}