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(void)

{
 int n, i, j;
 int a[10000];
 int k = 0;
 int count = 0;
 
 scanf("%d", &n);

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

 if(a[i] % 2 != 0 || a[i] == 2)
{

  for(j = 2; j < a[i]; j++)
{
  if(a[i] % j != 0)
   k++;

}

  if(k == a[i] - 2)
   count++;

 k = 0;

}

}

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

return 0;

}