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())

fact = [True] * 55556

fact[0],fact[1] = False, False

ans = []
cnt = 0
for i in range(2, len(fact)):
  if fact[i]:
    if i % 5 == 1:
      ans.append(i)
      cnt += 1
      if cnt == N:
        break
    for j in range(i * 2, len(fact), i):
      fact[j] = False

print(*ans)