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>
#define rep(i, n) for(int i=0; i<(n); i++)
using namespace std;

int main(){
  int n; cin >> n;
  vector<int> p;
  p.push_back(2);
  int cnt[5];
  for(int i=3; i<=55555; i+=2){
    bool flag = false;
    for(int j=3; j*j<=i; j+=2){
      if(i%j == 0){
        flag = true;
        break;
      }
    }
    if(!flag && i%5==2) p.push_back(i);
  }
  rep(i, n) cout << p[i] << " ";
}