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 <stdlib.h>

int hantei(int);
  
int main()
{
  int i,n,seisuu,cnt=0;

  scanf("%d",&n);
  for(i=0;i<n;i++){
    scanf("%d",&seisuu);
    if(hantei(seisuu)) cnt++;
  }
  printf("%d\n",cnt);
}

int hantei(int seisuu)
{
  int i;
  
  if(seisuu == 2) return 1;
  else if(seisuu%2 == 0) return 0;
  if(seisuu < 2) return 0;
  
  for(i=3;i*i<=seisuu;i++){
    if(seisuu%i == 0) return 0;
  }
  return 1;
}