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 boolean prime(int num) {
    boolean res = true;
    for (int i=2; i < num; i++) {
      if (num % i == 0) {
        res = false;
        break;
      }
    }

    return res;
  }

  public static void main(String args[]) {
    Scanner sc = new Scanner(System.in);

    int n = sc.nextInt();
    int[] ans = new int[n];
    int point = 0;

    for (int i=6; i < 55555; i+=5) {
      if (prime(i) == true) {
        ans[point] = i;
        point++;
      }

      if (point == n) {
        break;
      }
    }

    for (int i=0; i < n; i++) {
      System.out.println(ans[i] + " ");
    }
  }
}