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 prime(int n){
  int p = 2;
  while(p*p<=n){
    if(n%p==0){
      return 0;
    }
    p++;
  }
  return 1;
}

int main(){
  int N,i;
  int cnt = 0;
  scanf("%d",&N);
  for(i=0;i<N;i++) {
    int n;
    scanf("%d",&n);
    if(prime(n)) {
      cnt++;
    }
  }
printf("%d\n",cnt);
 return 0;
}