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)

#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>

int main(void)
{
	int i; //割る
	int n; //入力された自然数
	int prime;
	int j = 0;
	int counter = 0; //素数の個数
	int SINcounter = 0;

	scanf("%d", &n);

	for (i = 0; i < n; i++) {

		scanf("%d", &prime);

		if ((prime % 2 == 0) && (prime != 2)) {
			counter += 2;
		}
		else {
			if (prime <= 2) {
				if (prime == 2) {
					SINcounter++;
					continue;
				}
				continue;
			}
			
			for (j = 3; j <= 100000; j += 2) {
				if ((prime % j) == 0) {
					counter++;
				}
			}
		}

			if (counter == 1){
				SINcounter++;				
			}	
			counter = 0;
	}

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


	return(0);

}