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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.util.Scanner;
public class Main{
 
	public static void main(String[] args) {
 
		Scanner sc = new Scanner(System.in);
		
		int x = sc.nextInt();
      
      int ans = 0;
      
      for(int i = x;i>=0;i++)
      {
        for(int j =2;j<=350;j++)
        {
          if(i==j){
            ans = i;
            break;
          }
          
          if(i%j==0)
            break;
        }
        
        if(ans!=0)
          break;
      }
      
 
      System.out.println(ans);
 
      
 
 
 
      
      
 
 
 
		
		
	}
 
}