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;

class Main{

	static char[][] map;
	static int H;
	static int W;

	public static void main(String[] args) {



		Scanner sc = new Scanner(System.in);			//文字の入力
		int N = sc.nextInt();
		int[] data = new int [10000001];
		
		int c = 0;
		
		for(int i = 10;i <= 55555;i++){
			for(int j = 2;j <= (i+1)/2;j++){
				if(i % j == 0){
					break;
				}
				if(j == (i + 1)/2 && i % 5 == 1) {
					data[c] = i;
					c++;
					if(c == N){
						for(int k = 0;k < N;k++){
							System.out.println(data[k]);
						}
						return;

					}
				}
				
			}
		}

	}
}




class Pair implements Comparable{
	String from;
	int end;
	@Override
	public int compareTo(Object other) {
		Pair otherpair = (Pair)other;

		return end - otherpair.end;
	}
}