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 C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
int main(){
  unsigned long int x,i,max=0,j;
  
  scanf("%ld",&x);
  i=x;
  if(x=0){
    max=0;
  }
  if(x=1){
    max=1;
  }
  if(x=2){
    max=2;
  }
  while(max==0){
    for(j=2;j<((i/2)+1);j++){ 
    if(i%j==0){
      i++;
      break;
    }
      else{
        if(j==(i/2)){
        max=i;
          
          
        }
         
      }
    }
      
  }

    printf("%ld",max);

}