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<stdlib.h>
#include<math.h>

int isprime(int);

int main(){

  int i,x,n,count = 0;
  int *m;

  scanf("%d",&n);
  m = malloc(sizeof(int) * n);
  for(i = 0 ; i < n ; i++)
    {
      scanf("%d",&m[i]);
      if( isprime(m[i]) == 1)
	{
	  count++;
	}
    }
  printf("%d\n",count);
  free(m);
  return 0;
}

int isprime(x){

  int i;

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