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 = sc.nextInt();
		ArrayList<Integer> al = new ArrayList<>();
		boolean b;
		int cnt = 0;
		for (int i = 11; i <= 55555; i = i + 2) {
			b = true;
			for (int j = 2; j * j <= i; j++) {
				if (i % j == 0) {
					b = false;
					break;
				}
			}
			if (b && i % 5 == 1) {
				al.add(i);
				cnt++;
				if (cnt == n) {
					break;
				}
			}
		}
		for (int i : al) {
			System.out.println(i);
		}
	}
}