import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
sys.setrecursionlimit(10**7)
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################
p = []
MAX = 63
arr = [-1] * (MAX + 1)
for i in range(2, int(MAX**0.5)+1):
    if arr[i]!=-1:
        continue
    j = 1
    p.append(i)
    while i * j < len(arr):
        if arr[i * j] < 0:
            arr[i * j] = i
        j += 1
for i in range(2, len(arr)):
    if arr[i]==-1:
        p.append(i)

def g(x,n):
    ng = 10**9
    ok = 0
    while ng-ok>1:
        d = (ok+ng)//2
        if d**x<=n:
            ok = d
        else:
            ng = d
    return ok

def f(x):
    r = 1
    for q in p:
        if pow(2,q)>x:
            break
        r+=g(q,x)-1
    #print(x,r)
    return r>=K


T = ni()
for i in range(T):
    K = ni()
    ok = 10**18
    ng = 0
    while ok-ng>1:
        d = (ok+ng)//2
        if f(d):
            ok = d
        else:
            ng = d
    print(ok)