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 i, j, n, input, count=0;
  scanf("%d", &n);
  for(i = 0; i < n; i++){
    scanf("%d", &input);
    j = 2;
    while(j <= sqrt(input)){
	if(input % j == 0){
	  j = 1;
	  break;
	}
	j++;
      }
      if(j != 1){
	count++;
      }
  }
  printf("%d\n", count);
  return 0;
}