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 = sc.nextInt();

        boolean primes[] = new boolean [55560];
        for (int n = 2; n < primes.length; n++) {
            if (primes[n]) continue;
            for (int m = 2 * n; m < primes.length; m += n) {
                primes[m] = true;
            }
        }

        int count = 1;
        System.out.print("2 ");
        for (int i = 7; i <= 55560; i+=5) {
            if (count == N) {
                break;
            }
            if (!primes[i]) {
                System.out.print(i + " ");
                count++;
            }
        }
        System.out.println();


    }
}