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 Ruby (judge verdict: Accepted)

def prime?(n)
  return 0 if n == 1
  return 1 if n == 2
  return 0 if n % 2 == 0
  i = 3
  limit = Math.sqrt(n)
  while i <= limit
    return 0 if n % i == 0
    i += 2
  end
  return 1
end

n = gets.to_i
as = []
n.times do
  as << gets.to_i
end

count = 0
as.each do |a|
  count += prime?(a)
end

puts count