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 i, j, sum, n, count = 0;

  scanf("%d", &sum);

  for(i=0; i<sum; i++){
    scanf("%d", &n);
    if(n==2){
      count++;
      continue;
    }
    if(n%2==0) continue;
    for(j=3; j<=n/j; j+=2)
      if(n%j == 0) break;
    if(!(j<=n/j)) count++;
  }

  printf("%d\n", count);
  
  return 0;
}