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>
#include<math.h>

int isPrime(int n){
  int i;
  
  if(n < 2)
    return 0;
  else if(n == 2)
    return 1;
  
  if(n % 2 == 0)
    return 0;
  
  for(i = 3; i <= (int)sqrt(n); i+=2){
    if(n % i == 0)
      return 0;
  }
  return 1;
  
  
}

int main(){
  int n, i,cnt = 0;
  int p[10000];

  scanf("%d", &n);

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

  for(i = 0; i < n; i++)
    if(isPrime(p[i]))
       cnt++;
  
  printf("%d\n", cnt);

  return 0;
}