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())
lineup=[7,17,37,47,107,127,137,157,167,197,227,257,277,307,317,337,347,367,397,467,487,557,577,587,607,617,677,727,757,797,827,857,877,887,907,947,967,977,997,1087,1097,1117,1187,1217,1237,1277,1297,1307,1327,1367,1427,1447,1487,1567,1597,1607]
print(*lineup[:N])