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.*; 

class Main{
public static void main(String[] args){
	Scanner sc=new Scanner(System.in);
        int x=sc.nextInt();
  		int t=0;
  if(x==2){
 	 System.out.println(x);
  }else{
  
   for(int x1=x;x1>0;x1++){
     for(int c=2;c<x1;c++){
         if(x1%c==0){
           t=0;
           break;
          }else{
           t++;
         }
    	 }
     if(t>0){
        System.out.println(x1);
           return;
     } 
   }

  }
    }
}