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 Python3 (judge verdict: Wrong Answer)

import math

def is_prime(x):
    if x == 2:
        return True

    if (x == 1) or (x % 2 == 0):
        return False

    for i in range(3, math.ceil(math.sqrt(x)), 2):
        if x % i == 0:
            return False

    return True
    
if __name__ == '__main__':
    element_number = int(input())
    input_array = [int(input()) for i in range(element_number)]

    output = 0
    for x in input_array:
        if(is_prime(x)):
            output += 1

    print(output)