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 {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();
        boolean isPrimeNumber[] = new boolean[55555 + 1];
        Arrays.fill( isPrimeNumber, true );
        int root = (int)Math.ceil(Math.sqrt(55555));
        for(int i = 2; i < root; i++) {
            if( !isPrimeNumber[i] ) continue;
            int index = 2;
            while( i * index <= 55555 ) {
                isPrimeNumber[i*index] = false;
                index++;
            }
        }
        
        int cnt = N;
        StringBuilder ans = new StringBuilder();
        for(int i = 2; i <= 55555; i++ ) {
            if( isPrimeNumber[i] && i % 5 == 1 ){
                ans.append(i);
               
                if( --cnt == 0 ) {
                    break;
                } else {
                    ans.append(" ");
                }
            }
            

        }
        System.out.println(ans);
    }
}