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: Wrong Answer)

import java.util.Scanner;
import java.util.stream.IntStream;

class Main {
    public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int k = scanner.nextInt() + 1;
		
		boolean isPrimeNum = false;
		while (!isPrimeNum) {
			int num = k;
			isPrimeNum = IntStream.range(2, num).allMatch(c -> num % c != 0);
			if (isPrimeNum) System.out.println(num);
			k++;
		}
	}
}