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)

#include <stdio.h>

int main() {
  int n;
  scanf("%d",&n);
  int ans=0;
  while(n--) {
    int x,i;
    scanf("%d",&x);
    for(i=2; i*i<=x; i++) {
      if(x%i==0) break;
    }
    if(i*i>x) ans++;
  }
  printf("%d\n",ans);
  return 0;
}