Neat, thank you. That gives me a nice starting point for exploring Wolfram|Alpha further.
I've also found that the series of lesser members of twin primes is available as http://oeis.org/A001359 and Wolfram|Alpha is aware of OEIS. It can produce that list if I type "OEIS A001359." Perhaps the next thing to discover is whether Alpha has a syntax for accessing OEIS sequences in a fashion similar to the "prime" function above.