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:
N = int(input())
r = 55555

mp = [1]*(r+1)
i = 2

while 2*i <= r:
  j = 2
  while i*j <= r:
    mp[i*j] = 0
    j += 1
  i += 1
  
k = 0
l = 1
rlt = []
while k < N:
  if mp[30*l-1] == 1:
    rlt.append(30*l-1)
    k += 1
  l += 1

print(' '.join(map(str,rlt)))