Prime Plus Prime

You will be given an integer $N$. $N$ is a prime number. You have to determine if adding any other prime number to it will produce a new prime number.

Input

The input will contain a single integer $N$ ($2 \le N \le 9999991$, and $N$ is a prime number).

Output

Print “Yes” or “No” (w/o quotes) to indicate if adding a prime number to $N$ can produce a new prime number.

Samples

Input	Output
5	Yes
Adding 2 to 5, where 2 is also a prime number, produces 7. Since 7 is a prime number, the output should be “Yes” (w/o quotes).

Input	Output
7	No