Tired of the endless waiting? No? Well, if you had been, you could have stopped waiting now, provided you have OS X 10.7 (Lion). This initial release solves a general Pell-type equation by finding all solutions when there are finitely many, and when there aren’t, it finds all of the fundamental solutions and generates an arbitrary number of new solutions from those.
Currently it only works for parameters up to 2^31 (and this is not changing anytime soon due to the difficulty in factoring such large numbers), and the solutions can go up to 2^63. This latter limit will change to arbitrary size once I implement a large numbers library and rewrite my Pell solver to use it. That’s the next version.