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: Time Limit Exceeded)


using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.IO;


namespace StartFinish
{
    class Program
    {   
        static bool IsCheckPrime(int numeric)
        {
            if (numeric <= 1)
            {
                return false;
            }
            if (numeric == 2)
            {
                return true;
            }

            if (numeric % 2 == 0)
            {
                return false;
            }
            for (int i = 3; i <= numeric / 2; i += 2)
            {
                if (numeric % i == 0)
                {
                    return false;
                }
            }
            return true;
        }
            
        static void Main(string[] args)
        {
            int n = int.Parse(Console.ReadLine());

            int count = 0;
            for (int i = 0; i < n; i++)
            {
                if (IsCheckPrime(int.Parse(Console.ReadLine())))
                {
                    count++;
                }
            }
            Console.WriteLine(count);
        }
    }
}