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 reader = new Scanner(System.in);
		int N = reader.nextInt();
		int next = 11;
		String ans = "";
		while (N > 0 && next <= 55555) {
			if (isPrime(next)) {
				ans += next + " ";
				N--;
			}
			next += 10;
		}


		System.out.print(ans.substring(0, ans.length()-1));
		reader.close();
	}
	public static boolean isPrime(int num) {
		boolean result = true;
		for (int i = 2; i < num; i++) {
			if (num % i == 0) {
				result = false;
			}
		}
		return result;
	}
}