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.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Scanner;

public class Main {
	static Boolean prime(int x){
		for(int i = 2; i * i <= x; i++){
			if(x % i == 0){
				return false;
			}
		}

		return true;
	}

	public static void main(String[] args){
		Scanner s = new Scanner(System.in);

		int n = s.nextInt();

		int[] result = new int[n];

		int added = 0;

		for(int i = 11; added < n; i += 10){
			if(prime(i)){
				result[added] = i;
				added++;
			}
		}

		for(int i = 0; i < n; i++){
			System.out.print(String.valueOf(result[i]) + ' ');
		}
		System.out.print('\n');
	}
}