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: Wrong Answer)

include Math

ans = 0
num, *ary = $<.map &:to_i

ary.each do|i|

 if !( ( i % 2 == 0 && i != 2 ) || i % 10 == 5 || i == 1 )

  for j in 2..sqrt(i).floor

   if i % j == 0

    ans -= 1
    break

   end
  end
  
  ans += 1

 end
end

puts ans