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 scanner = new Scanner(System.in);
    int N = scanner.nextInt();

    final int MAX = 55_555;
    final boolean[] isPrimse = new boolean[MAX + 1];
    for (int i = 2; i <= MAX; i++) isPrimse[i] = true;
    for (int i = 2; i < Math.sqrt(MAX); i++) {
      if (isPrimse[i]) {
        for (int j = 2; i * j <= MAX; j++) {
          isPrimse[i * j] = false;
        }
      }
    }
    int count = 0;
    for (int i = 2; i <= MAX && count < N; i++) {
      if (isPrimse[i] && i % 5 == 1) {
        System.out.printf("%d ", i);
        count++;
      }
    }
    System.out.println();
  }
}