Problem:
Score: 300 points

Problem Statement

Find the minimum prime number greater than or equal to X.

Notes

A prime number is an integer greater than 1 that cannot be evenly divided by any positive integer except 1 and itself.

For example, 2, 3, and 5 are prime numbers, while 4 and 6 are not.

Constraints

2 \le X \le 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X

Output

Print the minimum prime number greater than or equal to X.

Sample Input 1

20

Sample Output 1

23

The minimum prime number greater than or equal to 20 is 23.

Sample Input 2

2

Sample Output 2

2

X itself can be a prime number.

Sample Input 3

99992

Sample Output 3

100003

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

namespace CSharp
{
    class Program
    {
        static void Main()
        {
            var X = int.Parse(Console.ReadLine());

            int p = X;
            while (!IsPrime(p))
            {
                p++;
            }
            Console.WriteLine(p);
        }

        private static bool IsPrime(int x)
        {
            if (x <= 1)
            {
                return false;
            }
            for (int i = 2; i * i <= x; i++)
            {
                if (x % i == 0)
                {
                    return false;
                }
            }
            return true;
        }
    }
}