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.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;

public class Main {


    public static void main(String[] args) {

        Scanner in = new Scanner(System.in);

        int N = in.nextInt();

        
        int prime_number[] = {11, 31, 41, 61, 71,
        		101,131,151,181,191,
        		211,241,251,271,281,
        		311,331,401,431,461,
        		491,521,541,571,601,
        		631,641,661,691,701,
        		751,761,811,821,881,
        		911,941,971,991,1021,
        		54941, 55021, 55051, 55061, 55171, 
        		55201, 55291, 55331, 55351, 55381, 
        		55411, 55441, 55501, 55511, 55541};
        
        
        
        
        	System.out.print("2");
        
        for(int i=0;i<N-1;i++)
        	System.out.print(" "+prime_number[54-i]);
        

     
    }

}