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 CPP):

Solution:
#include <iostream>

using namespace std;
int n;
int x=2, a;
int main () {
	cin >> n;
	while (a != n) {
		int l=0;
		for (int i = 2; i < x; i++) {
			if (x%i==0) {
				l=1;
				break;
			}
		}
		
		if (l!=1) {
			if ((x-1)%5==0) {
			cout << x << " ";	
			a++;
			}
		}
		x++;
	}







return 0;
}