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 main(int argc, char const *argv[])
{
	int n;
	cin>>n;
	int res = 0;
	for(int i = 2;i <= 55555; ++i)
	{
		int cnt = 0;
		for(int j = 2;j < i; ++j)
		{
			if(i % j == 0)
			{
				cnt++;
			}
		}
		if(cnt == 0 && i % 5 == 1)
		{
			cout<<i<<endl;
			res++;
			if(res == n)
			{
				return 0;
			}
		}
	}
	return 0;
}