I recently wrote a short algorithm to calculate happy numbers in python. The program allows you to pick an upper bound and it will determine all the happy numbers below it.
Here's some food for thought: If given the choice of running a 1979 algorithm for finding prime numbers in a 2009 computer or a 2009 algorithm on a 1979 computer, which would you choose?
The new algorithm on ancient hardware would be the better choice by a huge margin. Have a look at your "helper" functions.