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.io.*;

class Main{
        public static void main(String[] args) throws IOException{
                BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
                int N = Integer.parseInt(br.readLine());
                int i = 0;
                int count = 0;
                while(i<N){
                        int r = Integer.parseInt(br.readLine());
                        if(r==2)
                                count++;
                        else if((r%2!=0)){
                                for(int j=3; j<=r; j+=2){
                                        if(r==j){
                                                count++;
                                                break;
                                        }
                                        if((r%j)==0)
                                                break;
                                }
                        }
                        i++;
                }
                System.out.println(count);
        }
}