You get a PP 1 time in 16; you get your set 1 time in 8.5; when you make a set an opponent will have AA or KK one time in 12 or so at FR. The 1/2000 figures are rough but they're accurate to within 20% or so.

Of course if you make a set, your odds against other good hands - two pair, TPTK etc - are still excellent, and they're a lot more common; I was just referring to the constant mantra that a set vs AA is the platonic ideal, when you win the villain's stack - it's by and large true but it doesn't happen that often!