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)

#!/usr/bin/env python
# -*- coding: utf-8 -*-


"""
input:
11
7
8
9
10
11
12
13
14
15
16
17

output:
4
"""

import sys
import math


def is_prime(n):
    if n == 2:
        return True
    elif n < 2 or not n % 2:
        return False

    i = 3
    n_sqrt = math.sqrt(n)
    while i <= n_sqrt:
        if not n % i:
            return False
        i += 2
    return True


def solve(_c_list):
    cnt = 0
    for ele in _c_list:
        if is_prime(ele):
            cnt += 1
    return cnt


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    c_num = int(_input[0])
    c_list = list(map(int, _input[1:]))
    ans = solve(c_list)
    print(ans)