Problem: Print a sequence a_1, a_2, ..., a_N whose length is N that satisfies the following conditions:

* a_i (1 \leq i \leq N) is a prime number at most 55 555.
* The values of a_1, a_2, ..., a_N are all different.
* In every choice of five different integers from a_1, a_2, ..., a_N, the sum of those integers is a composite number.



If there are multiple such sequences, printing any of them is accepted.

Constraints

* N is an integer between 5 and 55 (inclusive).

Input

Input is given from Standard Input in the following format:


N


Output

Print N numbers a_1, a_2, a_3, ..., a_N in a line, with spaces in between.

Examples

Input

5


Output

3 5 7 11 31


Input

6


Output

2 3 5 7 11 13


Input

8


Output

2 5 7 13 19 37 67 79

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int k = 55555;
int a[55555]={};
int main(){
    int n;
    cin >> n;
    for(int i=2;i<=k;i++){
        for(int j=i;j<=k;j+=i) a[j]++;
    }
    for(int i=2;i<=k;i++){
        if(a[i]==1){
            if(i%5==2&&n>0){
                cout << i << ' ';
                n--;
            }
        } 
    }
    cout << endl;
}