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 <cstdio>

bool is_prime(int x)
{
	int i;

	for (i = 2; i * i <= x; i++)
		if (x % i == 0)
			return false;
	return true;
}

int main(void)
{
	int n, i;

	scanf("%d" ,&n);

	int cnt = 0;
	for (i = 11; ; i += 10)
	{
		if (is_prime(i))
		{
			printf("%d " ,i);
			++cnt;
		}

		if (cnt >= n)
			break;
	}
	return 0;
}