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:
INF = 55555
P = [1 for _ in range(55556)]
P[0]=0
P[1]=0
for i in range(2,int(55556**0.5)+1):
    for j in range(i*i,55556,i):
        P[j] = 0
N = int(input())
A = []
for i in range(11,55556,10):
    if P[i]==1:
        A.append(i)
    if len(A)==N:
        break
print(*A)