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.Scanner;

public class Main {

  public static void main(String[] args) {

    Scanner sc = new Scanner(System.in);

    int N = Integer.parseInt(sc.next());

    int a[] = new int[N];
    boolean flag = true;

    int ind = 0;
    for (int i = 2; i < 1852; i++) {
      flag = false;
      int p = 30 * i + 1;
      for (int j = 2; j < p; j++) {
        if (p % j == 0) {
          flag = true;
          break;
        }
      }
      if (!flag) {
        a[ind] = p;
        ind++;
        if (ind >= N) {
          break;
        }
      }
    }

    for (int i = 0; i < N; i++) {
      System.out.print(a[i] + " ");
    }
  }
}