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 Haskell (judge verdict: Accepted)

import Control.Applicative
import qualified Data.ByteString.Char8 as BC
import Data.Maybe (fromJust)

isPrime :: Integral a => a -> Bool
isPrime n = let m = floor . sqrt $ fromIntegral n
              in
                  all ((/= 0) . mod n) [2..m]

readInts :: IO [Int]
readInts = map (fst . fromJust . BC.readInt) . BC.lines <$> BC.getContents

main = do
    _ <- getLine
    readInts >>= print . length . filter isPrime