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: Accepted)

import java.util.Scanner;
public class Main{
  public static void main(String[] args){
    Scanner scan = new Scanner(System.in);
    int x = scan.nextInt();
    
    if(x == 2){
      System.out.println(x);
      System.exit(0);
    }
    
    boolean s = false;
    
    while(s == false){
      
      
      for(int i = 2; i < x; i ++){
        if(x % i == 0){
          s = false;
          break;
        }
        s = true;
      }
      
      
      
      x += 1;
    }
    
    System.out.println(x-1);
    
  }
}