=begin rdoc
  
== Sieve of Eratosthenes

Use the Sieve of Eratosthenes algorithm to generate a list of prime
numbers.  The method is an introduction to iteration, using iterators
to make and filter lists of numbers, and a while loop to repeat the
filtering step until no more composite numbers are left in the worksheet.

=end

module RubyLabs
	
module SieveLab

=begin rdoc
  Call +sieve(n)+ to create an array of prime numbers between +2+ and +n+  
=end

# :begin :sieve
	def sieve(n)
	  worksheet = Array(2..n)
		primes = []
	
	  while worksheet.first < sqrt(n)
	    primes << worksheet.first
	    worksheet.delete_if { |x| x % primes.last == 0 }
	  end

		return primes + worksheet
	end
# :end :sieve

end # SieveLab

end # RubyLabs