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();
		StringBuilder sb = new StringBuilder();
		int count = 0;
		for (int i = 2; i <= 55555; i++) {
			if (i % 5 == 1 && isPrime(i)) {
				if (count != 0) {
					sb.append(" ");
				}
				sb.append(i);
				count++;
				if (count >= n) {
					break;
				}
			}
		}
		System.out.println(sb);
	}
	
	static boolean isPrime(int x) {
		for (int i = 2; i * i <= x; i++) {
			if (x % i == 0) {
				return false;
			}
		}
		return true;
	}
}