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:
prime = [2]
for i in range(10000):
    if i == 0 or i == 1 or i == 2:
        continue
    a = True
    for p in prime:
        if i % p == 0:
            a = False
            break
    if a == True:
        prime.append(i)
n = input()
a = []
for p in prime:
    if p % 5 == 1:
        a.append(p)
        if len(a) == n:
            break
b = ''
for c in a:
    b += str(c) + ' '
b = b[:-1]
print b