Problem:
Prime Numbers

A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.

Write a program which reads a list of N integers and prints the number of prime numbers in the list.

Input

The first line contains an integer N, the number of elements in the list.

N numbers are given in the following lines.

Output

Print the number of prime numbers in the given list.

Constraints

1 ≤ N ≤ 10000

2 ≤ an element of the list ≤ 108

Sample Input 1

5
2
3
4
5
6

Sample Output 1

3

Sample Input 2

11
7
8
9
10
11
12
13
14
15
16
17

Sample Output 2

4

Solution in JAVA (judge verdict: Time Limit Exceeded)

import java.util.*;

public class Main {
    public static void main (String args[]) {
        // input

        int numEl;
        int numb;

        Scanner inp = new Scanner(System.in);

        numEl = inp.nextInt();
        
        while (numEl < 1 || numEl > 10000) {
            numEl = inp.nextInt();
        }

        int[] numbs = new int[numEl];

        for(int i = 0; i < numEl; i++) {
            numb = inp.nextInt();

            while (numb < 2 || numb > Math.pow(10, 8)) {
                numb = inp.nextInt();
            }

            numbs[i] = numb;
        }


        int primeCounter = 0;

        for(int j = 0; j < numEl; j++) {
            Boolean primeOrNot = isPrime(numbs[j]);

            if (primeOrNot == true) {
                primeCounter++;
            }
        }

        System.out.println(primeCounter);
    }

    public static boolean isPrime(int numb) {
        for(int i = 2; i < numb; i++) {
            if(numb%i == 0) {
                return false;
            }
        }

        return true;
    }
}