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;

class PrimeNum
{
    //private static int k;
    public static int Check(int num)
    {
        int k=0;
        if (num % 2 == 0 && num !=2)
            return 0;
        for(int i=3;i<num;i+=2)
        {
            k = 0;
            for(int j=3;j<=Math.Sqrt(num);j+=2)
            {
                if(i%j==0)
                {
                    k = 1;
                    break;
                }
            }
        }
        if (k==0)
            return 1;
        return 0;
    }
}
class Program
{
    static void Main()
    {
        int count = 0;
        int n = int.Parse(Console.ReadLine());
        for(int i=0;i<n;i++)
        {
            int num = int.Parse(Console.ReadLine());
            count += PrimeNum.Check(num);
        }
        Console.WriteLine(count);
    }
}