#411. Next prime number
You get n. Find the smallest prime number greater than n.
### Input
One integer n (1 ≤ n ≤ 10⁶).
### Output
A prime number.
Examples
Input
105998
Output
106013
Input
394801
Output
394811
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.