#include<bits/stdc++.h>
using namespace std;
int f[1002002],s[1002002];
int main(){
    int n,k=0,a;
    cin>>a>>n;
    for(int i=1;i*i<=1002001;i++){
        if(i*i>=a){
            f[i*i]=1;
            k++;
			s[k]=i*i;
        }
    }
    while(n--){
        int x,flag=0;
        cin>>x;
        if(f[x]){
            cout<<"lucky\n";
            continue;
        }
        for(int j=1;j<=k;j++){
            if(x%s[j]==0){
                cout<<"lucky\n";
                flag=1;
                break;
            }
        }
        if(flag) continue;
        int tmp=x;
        while(1){
            if(f[tmp]){
                cout<<tmp<<"\n";
                break;
            }
            for(int j=1;j<=k;j++){
                if(tmp%s[j]==0){
                    cout<<tmp<<"\n";
                    flag=1;
                    break;
                }
            }
            if(flag) break;
            tmp++;
        }
    }
    return 0;
}