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())
nums = [[i, True] for i in range(55555+1)]

for i in range(2, 55555+1):
    if nums[i][1]:
        if nums[i][0] % 5 == 1:
            print(nums[i][0])
            N -= 1
        for j in range(i, 55555+1, nums[i][0]):
            nums[j][1] = False

    if not N:
        break