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(num):
	prime = True
	for i in range(2,int(math.sqrt(num))):
		if num%i == 0:
			prime = False
			break
	return prime

num_set = set()
try:
	while True:
		num_set.add(eval(input()))
except EOFError:
	count = 0
	for x in num_set:
		count = count + (1 if is_prime(x) else 0)
	print(count)