> [BTW, I'm damn-well *sure* there used to be a site that tells you whether 
> a number is prime, and what the Nth prime number is, and how many primes 
> there are below N. Google can no longer find it though...]

The Prime Pages probably has something like that.
http://primes.utm.edu/index.html
You can get the first 15 million primes in files.

There's also an open challenge from the EFF to
calculate a billion digit prime number, with a prize
of $250,000.
http://w2.eff.org/awards/coop.php

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