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.util.Scanner;
public class Main {
	Scanner sc = new Scanner(System.in);
	int n;
	int count=0;	//素数カウント変数
	int[] A;
	
	public void input() {
		n = sc.nextInt();
		A = new int[n];
		for(int i=0; i<n; i++) {
			A[i] = sc.nextInt();
		}
	}
	
	public int conpute(int number) {
		for(int i=2; i<number; i++) {
			if(number%i == 0) return 1;
		}
		return 0;
	}
	
	public void output() {
		for(int i=0; i<n; i++) {
			if( conpute(A[i]) == 0 ) count++;
		}
		System.out.println(count);
	}
	
	public static void main(String[] args) {
		Main obj = new Main();
		obj.input();
		obj.output();
	}
}