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)

#include <stdio.h>

int isprime(int);

int main(void){

	int n,num,i,flag=0;

	scanf("%d\n",&n);

	for(i = 0; i < n; i++){
		scanf("%d",&num);
		if(isprime(num) == 1){
			flag++;
		}
	}

	printf("%d\n",flag);
	return 0;
}

int isprime(int x){

	int i;

	if(x == 2 || x == 3) return 1;
	else if(x <= 1) return 0;

	for(i = 2; i <= x/2; i++){		
		if(x % i == 0) return 0;
	}
	return 1;
}