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 9.2.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>

int main()
{
   int x;
   scanf("%d",&x);
   int flag=0;
   int i=0;
   int j=0;


  for(i=x; i>0;i++)
  {
      flag=0;
      for(j=2;j<i;j++)
       {
    if(i%j==0)
    {
        flag=1;
        break;

    }
    }
        if(flag==0)
       {
      printf("%d\n",i);
      break;
       }

   }



return 0;

}