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())

l = [i for i in range(55556)]
l[1] = 0
for i in l[1:]:
    if i > math.sqrt(55556): break
    if i == 0 :continue
    for j in range(2*i,55556,i): l[j] = 0

prime = [i for i in l if (l != 0 and (i - 3)%10 == 0)]
print(" ".join(map(str,prime[:N])))