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 prime(int a){
  int i;
  if(a<=1)return 1;
  if(a==2)return 0;
  if(a%2==0)return 1;

  for(i=3;i<a-1;i++){
    if(a%i==0)return 1;
  }

  return 0;
}

int main(void){
  int i,n,a,count=0;

  scanf("%d",&n);
  for(i=0;i<n;i++){
    scanf("%d",&a);
    if(prime(a)==0)count++;
  }

  printf("%d\n",count);

  return 0;
}