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:
import math
N = int(input())

def is_prime(p):
	if (p == 1): return false
	for i in range(2, int(math.sqrt(p))+1):
		if (p%i == 0): return False
	return True


c = 0

for i in range(6, 55556, 5):
	if (is_prime(i)):
		c += 1
		if (c != N):
			print(i, end=' ')
		else:
			print(i)
			exit()