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: Wrong Answer)

import java.util.Scanner; 

class Main {
  public static void main(String[] args) {
    Scanner myObj = new Scanner(System.in);
    System.out.println("Please enter X value.");
    int X = myObj.nextInt();
    
    int i, m=0, flag=0, loop=0;     
         
    
    while (loop == 0) {
        m=X/2;      
        if(X==0|| X==1) {  
            flag = 1;
        }
        else {  
            for(i = 2; i <= m; i++) {      
                if(X%i == 0) {    
                    flag = 1; 
                    break;      
                } 
            } 
        }
        if(flag == 1) {
           X = X + 1;
           flag = 0;
        }
        else {
          loop = 1;
        }  
    }
    System.out.println(X);        
}
}