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 sc = new Scanner(System.in);
		int n = sc.nextInt();
		// 素数を全列挙
		boolean[] isPrime = new boolean[55556];
		for(int i = 2 ; i <= 55555 ; i++) isPrime[i] = true;
		for(int i = 2 ; i <= 55555 ; i++) {
			for(int j = 2 ; j * j <= i ; j++) {
				if(i % j == 0) isPrime[i] = false;
			}
		}
		int cnt = 0;
		// 3で割って1余る素数を出力
		for(int i = 2 ; i <= 55555 ; i++) {
			if(i % 5 == 1 && isPrime[i]) {
				System.out.println(i);
				cnt++;
			}
			if(cnt == n) break;
		}
	}
}