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 JAVA):

Solution:
import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int N = sc.nextInt();
    List<Integer> list = new ArrayList<Integer>();
    int n = 2;
    while (list.size() < N) {
      if (isPrime(n) && n%5 == 1) {
        list.add(n);
      }
      n++;
    }
    
    StringBuilder ans = new StringBuilder();
    for (int i = 0; i < N; i++) {
      ans.append(list.get(i)).append(' ');
    }
    
    System.out.println(ans.toString());
  }
  
  private static boolean isPrime(int a) {
    for (int i = 2; i*i <= a; i++) {
      if (a%i == 0) return false;
    }
    return true;
  }
}