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 scan=new Scanner(System.in);
    int x=scan.nextInt();
    int Ans=0, x1=0;
    boolean flag=false;
    if(x%2==0){
      x1=x+1;
    }else if(x==2){
      Ans=2;
      flag=true;
    }else{
      x1=x;
    }
    while(!flag){
      for(int a=2; a<x1; a++){
        if(x1%a==0){
          flag=true;
        }
      }
      if(!flag){
        Ans=x1;
        flag=true;
      }else{
        flag=false;
      }
      x1+=2;
    }
    System.out.println(Ans);
  }
}