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>
#include<math.h>
int prime(int);

int main(void){
    int n;
    scanf("%d",&n);
    int a,ans=0;
    for(a=1;a<=n;a++){
        int num;
        scanf("%d",&num);
        if(prime(num)==0){
            ans++;
        }
    }
    printf("%d\n",ans);
    return 0;
}

int prime(int b){
    int i=2;
    while(i<=b-1){
        if(b%i==0){
            return 1;
        }else{
            i++;
        }
    }
    return 0;
}