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I've written a Lua binding to the bn subsystem of OpenSSL:
	http://www.tecgraf.puc-rio.br/~lhf/ftp/lua/#lbn

This is a fast, integer-only, big-number library that is suitable for
number-theoretical and cryptographic applications.

If you're running Unix, you probably already have OpenSSL installed,
and so you only need to do "make".

I thank Valerio Schiavoni for telling me about the existence of bn.

Checksum and other data available at
	http://www.tecgraf.puc-rio.br/~lhf/ftp/lua/release.txt

Like all my code, lbn is in the public domain.
Enjoy. All feedback welcome.
--lhf