mod = 1000000007
eps = 10**-9


def main():
    import sys
    from bisect import bisect_left
    from math import sqrt, floor
    input = sys.stdin.readline

    def square_root(n):
        r = floor(sqrt(n))
        for x in range(3, -4, -1):
            if (r+x) ** 2 <= n:
                return r

    M = 15 * 10 ** 5
    MAX = 2 * 10 ** 18
    S = {1}
    for a in range(2, M+1):
        cur = a
        for b in range(2, 70):
            cur *= a
            if cur > MAX:
                break
            S.add(cur)
    S = sorted(list(S))
    kk = bisect_left(S, M+1)

    for _ in range(int(input())):
        K = int(input())
        ok = MAX
        ng = 0
        mid = (ok + ng) // 2
        while ok - ng > 1:
            r = square_root(mid)
            if r <= M:
                j = bisect_left(S, mid+1)
                if j >= K:
                    ok = mid
                else:
                    ng = mid
            else:
                k = bisect_left(S, r+1)
                j = bisect_left(S, mid + 1) + (r - M) - (k - kk)
                if j >= k:
                    ok = mid
                else:
                    ng = mid

            mid = (ok + ng) // 2
        print(ok)
        assert ok != MAX


if __name__ == '__main__':
    main()