#include <bits/stdc++.h>
//eolibraries
#define lnf 3999999999999999999
#define inf 999999999
#define fi first
#define se second
#define pb push_back
#define ll long long
#define ld long double
#define all(c) (c).begin(),(c).end()
#define sz(c) (int)(c).size()
#define make_unique(a) sort(all(a)),a.erase(unique(all(a)),a.end());
#define rep(i,n) for(int i=0;i<n;i++)
#define drep(i,n) for(int i=n-1;i>=0;i--)
#define crep(i,x,n) for(int i=x;i<n;i++)
#define vec(...) vector<__VA_ARGS__>
#define _3sSOzgI ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
//eodefine
using namespace std;
using pii=pair<int,int>;
using vi=vec(int);
const int mxn=12000;
vi rabbits={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61};
const int m=sz(rabbits);

void slv(){
	int n;
	cin>>n;
	auto findmagic=[&](ll g,ll x){
		ll l=1,r=x,c=-1;
		if(g>=70){
			return c=1;
		}
		while(l<=r){
			ll m=(l+r)/2;
			ll jj=g;
			ll y=1;
			bool pok=1;
			while(jj>0){
				if(y>x/m){
					pok=0;
					break;
				}
				y*=m;
				jj=jj-1;
			}
			if(pok){
				c=m;
				l=m+1;
			}else{
				r=m-1;
			}
		}
		return c;
	};
	auto f=[&](ll x){
		ll sum=0;
		crep(msk,1,(1<<m)){
			ll g=1;
			bool caughtone=0;
			rep(i,m){
				if(msk&(1<<i)){
					g*=rabbits[i];
					if(g>70){
						caughtone=1;
						break;
					}
				}
			}
			int k=__builtin_popcount(msk);
			// cout<<g<<" "<<x<<"\n";
			ll up;
			if(!caughtone) up=findmagic(g,x);
			else up=1;
			if(k%2) sum+=up;
			else sum-=up;
		}
		// printf("%lld\n",sum);
		return sum;
	};
	// f(63);
	ll l=0,r=997995681331086344,c=-1;
	while(l<=r){
		ll m=(l+r)/2;
		if(f(m)>=n){
			r=m-1;
		}else{
			c=m;
			l=m+1;
		}
	}
	cout<<c+1<<"\n";
}

int main(){
_3sSOzgI;
	int t;
	cin>>t;
	rep(cs,t){
		slv();
	}
//	
	return 0;
}