Project Euler provides interesting and challenging problems which require both Mathematical and programming acumen to solve. As a forum that publishes problems it also serves to confirm answers, and more importantly, to share solutions and techniques by other solvers. As a result, many new discoveries can be made and shared. Sadly, however, many of the forums are closed from futher participation.

Of course, in order to really learn from the experience one must first solve the problem and that can be frustrating. Providing the answer would defeat the intended spirit of the forum but, instead, providing some insight could help.

Because users are ranked based on the number of problems solved there are ethical issues about providing source code or even hints to solutions. But with the understanding of freedom of speech we place the onus of responsibility on the reader to participate with honorable motives and intentions.

It is with this purpose that some particular solutions are exemplified and shared, in hope that some good can come from it.