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 <string.h>
#include <math.h>

int main()
{
	int n;
	int i,j,count=0;
	scanf("%d",&n);
	int a[n];
	
	for(i=0;i<n;i++){
		scanf("%d",&a[i]);
		for(j=2;j<sqrt(a[i])+1;j++){
			if(a[i]==2){
				break;
			}
			if(a[i]%j==0){
				count++;
				break;
			}
		}
	}
	
	printf("%d\n",n-count);
	
	return 0;
	
}