#include <stdio.h>
#include <vector>
#define MAX (long long int)1e18

int check[110];
std::vector<int> prime;
long long int func(int k, int mul,long long int val)
{
	if(mul>60) return 0;
	if(k==prime.size())
	{
		if(mul==1) return 0;
		long long int min = 1, max = val;
		long long int p = 1;
		while(min<=max)
		{
			long long int h = (min+max)/2;
			long long int t = val;
			for(int i=1;i<=mul;i++) t/=h;
			if(t==0) max = h-1;
			else
			{
				p = h;
				min = h+1;
			}
		}
		return p-1;
	}
	
	long long int s1 = func(k+1,mul,val);
	long long int s2 = func(k+1,mul*prime[k],val);
	return s1-s2;
}

int main()
{
	for(int i=2;i<=60;i++)
	{
		if(check[i]==0)
		{
			prime.push_back(i);
			for(int j=i;j<=60;j+=i) check[j] = 1;
		}
	}
	
	int T;
	scanf("%d",&T);
	while(T--)
	{
		int a;
		scanf("%d",&a);
		long long int min = 1, max = MAX;
		long long int ans = MAX;
		while(min<=max)
		{
			long long int h = (min+max)/2;
			long long int s = -func(0,1,h)+1;
			if(s>=a)
			{
				ans = h;
				max = h-1;
			}
			else min = h+1;
		}
		printf("%lld\n",ans);
	}
}