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.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		int n = Integer.parseInt(sc.next());

		ArrayList<Integer> primeList = new ArrayList<Integer>();
		ArrayList<Integer> ans = new ArrayList<Integer>();
		primeList.add(2);

		for (int i = 3; i <= 55555; i++) {

			boolean primeFlg = true;

			for (int prime : primeList) {
				if (i % prime == 0) {
					primeFlg = false;
					break;
				}
			}

			if (primeFlg) {
				primeList.add(i);
				if (i % 5 == 1)
					ans.add(i);
			}

			if (ans.size() == n)
				break;
		}

		for (int a : ans) {
			System.out.print(a + " ");
		}

	}

}