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 k = sc.nextInt();
		List<Integer> list = new ArrayList<>();
		list.add(2);
		int tmp = 3;
		while(list.size() < k) {
			boolean flag = true;
			for(int i = 2; i < tmp; i++) {
				if(tmp % i == 0) {
					flag = false;
					break;
				}
			}
			if(flag && tmp % 5 == 1) {
				list.add(tmp);
			}
			tmp += 2;
		}
		list.forEach(e -> System.out.println(e));
	}

}