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: Accepted)

primes = [2]

def is_prime(num):
    root = num ** 0.5
    for prime in primes:
        if root < prime:
            break
        if num % prime == 0:
            return False
    return True

def create_primes(primes, max):
    for i in range(primes[-1] + 1,max):
        if is_prime(i):
            primes += [i]

create_primes(primes, 10000)

n = int(input())
count = 0
for _ in range(n):
    num = int(input())
    count += 1 if is_prime(num) else 0
print(count)