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:
MAX = 55555
p = [1]*(MAX+1)
p[0], p[1] = 0, 0
pp = []

for i in range(2, MAX, 2):
  p[i] = 0

for i in range(3, int(MAX**0.5)+1, 2):
  if p[i]:
    for j in range(i*2, MAX, i):
      p[j] = 0

for i in range(MAX+1):
  if p[i] and i%5==1:
    pp.append(i)

n = int(input())
print(" ".join(map(str, pp[:n])))