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 main (){
  int n;
  cin >> n;
  for(int i = 2 ; i <= 55555 && n; i++){
    int cnt =0 ;
    for(int j = 1 ; j * j <= i ; j++){
      if (i % j == 0)
        cnt += 1 + (i/j != j);
    }
    if (cnt == 2 && i % 10 == 1)
      cout << i <<' ', n--;
  }
  return 0;
}