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())
l = [0]*(55556)
i = 2
while i <= 55555:
    j = 2
    while i*j <= 55555:
        l[i*j] = 1
        j += 1
    i += 1
ans = []
for i in range(3,55556):
    if l[i]:
        continue
    if ((i-1)//2)%5 == 0:
        ans.append(i)
print(*ans[:n])