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: Wrong Answer)

#include<stdio.h>

int main(void)
{

  int i, j, a;

  for(i=1;i<=10000;i++)
  {

    a=0;

    for(j=1;j<=i;j++)
    {

       if(i%j==0) a++;
     
    }

     if(a==2)  printf("%d\n", i);

    }
   
   printf("\n");
    return 0;

 }