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 PYTHON3):

Solution:
def main():
	N = int(input())
	ps = [2]
	ans = ["2"]
	i = 3
	while len(ans) < N:
		is_prime = True
		for p in ps:
			if i % p == 0:
				is_prime = False
				break

		if is_prime:
			ps.append(i)
			if i % 5 == 2:
				ans.append(str(i))
		i += 1
	print(" ".join(ans))


if __name__ == '__main__':
    main()