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;

namespace teisyutusensei
{
    class Program
    {
        static void Main(string[] args)
        {
//            string result =null;
           bool [] v = new bool[100000001];

           v[0] = true;
           v[1] = true;

            for (int i = 2; i <= 10000; i++)
            {
                bool fr = false;

                for (int j = 1; j <= 10000; j++)
                {
                    if (fr == false)
                    {
                        fr = true;
                    }
                    else
                    {
                        int h = i * j;
                        if (h > (100000000))
                        {
                            break;
                        }
                        else
                        {
                            v[h] = true;
                        }
                    }
                }
            }
            
            int count = 0;
            ////?????????????????????
            string dmmy = Console.ReadLine();

            int n = int.Parse(dmmy);

            for (int i = 0; i < n; i++)
            {
                string dmmy2 = Console.ReadLine();
                int val = int.Parse(dmmy2);

                if (v[val] == false)
                {
                    count++;
                }
                
            }

            Console.WriteLine(count);
            Console.ReadLine();

        }
    }

}



//            string dmmy = Console.ReadLine();
//            string[] input = dmmy.Split(' ');

//            int n = int.Parse(input[0]);
//          int x = int.Parse(input[1]);