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 x,count=0,flag=0,i,n,j;

  scanf("%d",&n);
  for(j=0;j<n;j++){
    scanf("%d",&x);
    for(i=2;i<x;i++){
      if( x%i==0){
	flag=1;
	break;
      }
    }
    if(flag==0){
      count++;
    }
    else flag=0;
    }

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

    }