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.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        List<Integer> list = new ArrayList<>();
        for (int i = 2 ; i <= 55555; i++) {
            if (isPrime(i) && i % 5 == 3) {
                list.add(i);
            }
        }

        for (int i = 0 ; i < n ; i++) {
            System.out.print(list.get(i));
            System.out.print(" ");
        }
        System.out.println();
    }

    static boolean isPrime(int i) {
        for (int j = 2 ; j < Math.sqrt(i) ; j++) {
            if (i % j == 0) {
                return false;
            }
        }
        return true;
    }

}