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 isprime(int p){
		for (int i=2;i<p; i++){
			if(p%i==0){
				return false;
			}
		}
		return true;
	}
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int prime[]=new int[N];
		int j= N-1;
		for(int i=2; i<55555;i++){
			if(isprime(i)==true && i%5==1){
					prime[j]=i;
					j=j-1;
					if(j<0){
						break;
					}
			}
		}
	for(int i=N-1;i>=0;i--){
		System.out.print(prime[i]+" ");
	}
	System.out.println();
	}
}