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> I've been unable to find a Lua module for implementing the long number
> used in Python to represent ridiculously long numbers. Is there
> something like this for Lua?

Look for bindings to GMP.  Here's one:

  <http://members.chello.nl/~w.couwenberg/lgmp.htm>

I haven't used it, though.

> And if not, does any one know how Python does this or how this could
> be implemented in Lua?

I think Python uses straightforward C implementations of the classical
algorithms, as found in most algorithm textbooks.