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();
		boolean dp[] = new boolean[55552];
		dp[0] = dp[1] = true;
		List<Integer> prime = new LinkedList<Integer>();
		prime.add(2);
		for(int i = 2; i <= 55551; i++) {
			if(dp[i] == false) {
				for(int j = i * 2; j <= 55551; j += i) {
					dp[j] = true;
				}
				if(i % 5 == 1) prime.add(i);
			}
		}
		for(int i = 0; i < n; i++) {
			System.out.print(prime.get(i) + " ");
		}
	}
}