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() {
 int X,i;
 int j = 0;

scanf("%d",&X);
  if(X > 2){
    X = X - 1;
    do{
      X+=1;
      for(i=2;i<X;i++){
        printf("%d\n",X%i);
        if((X%i)==0) j = j+1;
        else;
      }
      printf("!%d",j);
      
    }while(j > 1);
  }
  else;

  printf("%d",X);
  return 0;
}