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 PYTHON):

Solution:
from itertools import combinations

p = [1]*555555
p[0] = p[1] = 0
for i in xrange(2, int(555555**0.5) + 1):
    if p[i]:
        p[2*i::i] = [0]*len(p[2*i::i])

ans = []
for i in xrange(55555):
    if p[i] and str(i)[-1] == "1":
        ans.append(i)

N = int(raw_input())
print " ".join(map(str, ans[:N]))