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 main(){
    int n,tmp,count = 0,limit;
    scanf("%d",&n);
 
    for(int i = 0; i < n; i++)
    {
        scanf("%d",&tmp);
        limit = sqrt(tmp);
        for(int j = 2; j <= limit; j++){
            if(tmp%j==0){
                count++;
                break;
            }
        }
    }
    printf("%d\n",n-count);
}