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)

import math

n = int(input())
no_sosu = 0

for i in range(n):
    s = int(input())
    
    if s%2 == 0:
        if s != 2:
            no_sosu += 1

    else:
        for j in range(3,s,2):
            if j**2 > s:
                break
            if s%j == 0:
                no_sosu += 1
                break

print(n-no_sosu)