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.*;
import static java.lang.Math.*;
import java.math.BigInteger;

public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		
		// 入力
		int n = sc.nextInt();

		// 計算
		int cnt = 0;
		for(int i = 2; i <= 55555; i++){
		    if(i%5 != 1) continue;
		    boolean flg = true;
		    for(int j = 2; j <= sqrt(i); j++){
		        //System.out.println("i:" + i + " j:" + j);
		        if(i%j == 0){
		            flg = false;
		            break;
		        }
		    }
		    if(flg){
		        System.out.print(i + " ");
		        cnt++;
		        if(cnt == n) break;
		    }
		}

		// 出力
		//System.out.println("cnt:" + cnt);
	}
}