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>
#define N 10000

int main(){
  int n,num[N],i,j,count=0;

  scanf("%d",&n);

  for(i=0;i<n;i++)scanf("%d",&num[i]);

  for(i=0;i<n;i++){
    if(num[i]==2 || num[i]==3 || num[i]==5 || num[i]==7)continue;
    if(num[i]%2==0 || num[i]%5==0 || num[i]%3==0||num[i]%7==0){
      count+=1;
      continue;
    }
    for(j=11;j<num[i]/2;j+=2){
      if(num[i]%j==0){
	count+=1;
	break;
      }
    }
  }
  printf("%d\n",n-count);
  
  return 0;
}