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 i,j,a,l,count;

  count = 0;
  
  scanf("%d",&l);
  
  for(i = 0; i < l; i++){
    scanf("%d",&a);
    if(a == 2) count++;
    else if(a == 1 || (a % 2) == 0) continue;
    else {
      for(j = 3; j < a; j += 2){
	if((a % j) == 0) break;  
      }
      if(j >= a) count++;
    }
  }

  printf("%d\n",count);
  
  return 0;
  
}