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 C# (judge verdict: Wrong Answer)

using System;

class Prime_Numbers
{
    public static void Main()
    {
        int n = int.Parse(Console.ReadLine());
        int cnt = n;

        for (int i = 0; i < n; i++)
        {
            int number = int.Parse(Console.ReadLine());

            for (int j = 2; j < number; j++)
            {
                if (number % j == 0)
                {
                    cnt--;
                    break;
                }
            }
            Console.WriteLine(cnt);
        }

        Console.WriteLine(cnt);


    }
}