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;
import java.util.Arrays;
public class Main{
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        int[] a = new int[N];
        int j = 0;
        for(int i = 2;i <= 55555;i++){
            if(i % 5 == 1 && isPrime(i)){
                a[j++] = i;
            }
            if(j == N){
                break;
            }
        }
        for(int i = 0;i < N;i++){
            System.out.print(a[i]);
            if(i == N-1){
                break;
            }
            System.out.print(" ");
        }
        System.out.println();
    }
    public static boolean isPrime(int x){
        if(x == 1){
            return false;
        }
        for(int i = 2;i < x;i++){
            if(x % i == 0){
                return false;
            }
        }
        return true;
    }
}