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)


#素数列を得る(10^4未満)

list = [2]
for j in 3..10000
list.each{|q|
if q*q > j then
list.push(j)
break
end
if (j % q) == 0 then
break
end
}
end

n = gets.to_i
count = 0

n.times{

sample = gets.to_i

list.each{|q|
if q*q > sample then
count += 1
break
end
if (sample % q) == 0 then
break
end
}

}

puts count