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>

int main(){

    int a,count=0,i=2;

    scanf("%d",&a);

    while(1)

    {
        while(a>i){

            if(a%i==0 && a!=2){

                count++;


            }

        i++;

        }
            if(count==0)
            {
                break;

            }

    a++;
    i=2;
    count=0;

    }
        if(count==0){

        printf("%d\n",a);


    }



return 0;

}