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 Scala (2.13.1) (judge verdict: Wrong Answer)

object Main extends App {
  @scala.annotation.tailrec
  def isPrime(x: Int, count: Int): Boolean =
    if (x % count == 0) false
    else if (x < count * count) true
    else isPrime(x, count + 1)
  @scala.annotation.tailrec
  def loop(i: Int): Int = if (isPrime(i, 2)) i else loop(i + 1)
  val sc = new java.util.Scanner(System.in)
  val x = sc.nextInt()
  println(loop(x + 1))
}