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: Wrong Answer)

#include <stdio.h>

int main(void) {
	int i, j, x, N;
	int num = 0;
	scanf("%d", &N);

	for (i = 0; i < N; i++) {
		scanf("%d", &x);
		for (j = 2; j < N/2 + 1; j++) {
			if (x % j == 0 && x != j) {
				break;
			}
		}
		if (j == N/2 + 1) {
			num++;
		}
	}

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

	return 0;
}