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 count,prime=0,num[10000];
  int i,j,N;

  scanf("%d",&count);

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

  for(i=0;i<count;++i){
      j=num[i]/2+1;
      if(num[i]==2){
	++prime;
	continue;
      }
    while(num[i]%j!=0){ 
	--j;
    	if(j==2){
	  ++prime;
	  break;
	}
      }
    }
  
  printf("%d\n",prime);

  return 0;
}