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 main(){
  int n,i,num=0,j,f;

  scanf("%d",&n);
  int a;
  for(i = 0;i<n;i++)
    {
      scanf("%d",&a);
       f=0;
       for(j=2;j<a;j++)
    {
      if(a%j==0)
	{
	  f=1;
	  break;
	}
    }
      if(f==0)
	{
	  num++;
	}
    }
  printf("%d\n",num);
  return 0;
}