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;
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int[] pnums = new int[55555];
		int[] resnums = new int[n];

		int cnt = 0;
		int pcnt = 0;
		int num = 2;

		while(true) {
			boolean addflg = true;
			for(int i = 0; i < pcnt; i++) {
				if( (num % pnums[i]) == 0 ) {
					// 素数ではない
					addflg = false;
					num++;
					break;
				}
			}
			if(addflg == false)
				continue;
			pnums[pcnt] = num;
			pcnt++;

			if(num % 5 == 1) {
				resnums[cnt] = num;
				cnt++;
			}

			num++;

			if(cnt == n)
				break;
		}

		for(int i = 0; i < n; i++) {
			if(i != 0)
				System.out.print(" ");
			System.out.print(resnums[i]);
		}
		System.out.print("\n");
	}
}