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: Accepted)

/* Prime Numbers */

#include <stdio.h>
#include <math.h>

int primep(int);

int main(void) {
  int n, x, count = 0, i;

  scanf("%d", &n);

  for(i = 0; i < n; i++) {
    scanf("%d", &x);
    if(primep(x)) count++;
  }

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

  return 0;
}

int primep(int x) {
  int i, m = sqrt(x);

  if(x == 2) return 1;
  if(x < 2 || x%2 == 0) return 0;
  for(i = 3; i <= m; i += 2)
    if(x%i == 0) return 0;
  return 1;
}