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();
    int i = 2;
    int count = 0;
    List<Integer> prime = new ArrayList<>();
    while (count < N) {
      int tmp = 5*i + 1;
      if (isPrime(tmp)) {
        prime.add(tmp);
        count++;
      }
      i++;
    }
    for (i=0;i<N;i++) {
      System.out.print(prime.get(i));
      if (i!=N-1) {
        System.out.print(" ");
      }
    }
  }

  private static boolean isPrime(int a) {
    double sqrt = Math.pow(a, 0.5);
    if (a == 2 || a == 3) {
      return true;
    }
    for (int i=2; i<sqrt+1; i++) {
      if (a % i == 0) {
        return false;
      }
    }
    return true;
  }
}