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: Time Limit Exceeded)

#include<stdio.h>

int main(void)
{
	int i, j, n,d = 0, v;
	int sosuu = 0;

	scanf("%d", &n);

	for (i = 0; i < n; i++) {
		scanf("%d", &j);

		d = 0;
		for (v = 2; v <= 1000000; v++) {
			if ((j % v) == 0)
				d++;
			if (d == 2)
				break;
		}
			if (d == 1) {
				sosuu++;
			}
	}

	

	printf("%d\n", sosuu);
	return 0;
}