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 {
	static boolean[] comp = new boolean[1310];
	static ArrayList<Integer> list = new ArrayList<>();
	
	public static void main(String[] args) {
		sieve();
		Scanner sc = new Scanner(System.in);
		
		int N = sc.nextInt();
		StringBuilder sb = new StringBuilder();
		
		for(int i = 0; i < N; i++) {
			if(i != 0)
				sb.append(" ");
			sb.append(list.get(i));
		}
		System.out.println(sb.toString());
	}
	
	public static void sieve() {
		for(int i = 2; i < comp.length; i++) {
			if(!comp[i]) {
				if(i % 5 == 3)
					list.add(i);
				for(int j = 2; i*j < comp.length; j++)
					comp[i*j] = true;
			}
		}
	}
}