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())
p=[3,13,23,43,53,73,103,113,163,173,193,223,233,263,283,293,313,353,373,383,443,463,503,563,593,613,643,653,673,683,733,743,773,823,853,863,883,953,983,1013,1033,1063,1093,1103,1123,1153,1163,1193,1213,1223,1283,1303,1373,1423,1433,1453,1483,1493]
for i in range(n):
    print(p[i],end=' ')