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();
		sc.close();

		List<Integer> list = new ArrayList<>();
		for (int k = 3 ; k < 55555 ; k++) {
			boolean a = true;
			for (int i = 2; i < k && i < Math.floor(Math.sqrt(55555)) ; i++) {
				if (k % i == 0) {
					a = false;
					break;
				}
			}
			if (a && k % 5 == 1) {
				list.add(k);
			}
		}

		StringBuilder sb = new StringBuilder();
		for (int i = 0; i < n ; i++) {
			if (i != n-1) {
				sb.append(list.get(i)).append(" ");
			} else {
				sb.append(list.get(i));
			}
		}
		System.out.println(sb.toString());
	}
}