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 Sosuu(int);

int main(){
  int a[10000],n,i,count=0,result;

  scanf("%d",&n);
  
  for(i = 0 ; i < n ; i++){
    scanf("%d",&a[i]);
    result = Sosuu(a[i]);
    if(result == 1) count++;
  }

  printf("%d\n",count);

  return 0;
}

int Sosuu(int x){
  int i,result = 1;
  double a=sqrt(x);

  for(i = 2 ; i <= a ; i++){
    if(x % i == 0){
      result = 0;
      break;
    }
  }
  return result;
}