I find this disturbing because (do hear me out)<p>the fundamental arithmetic theorem would have me re-express all those numbers as the product of primes that they actually are.<p>I find pairing this list of primes (with powers) and splitting them into two groups to be ultimately arbitrary which blinds me from the significance of these 'kind' of numbers<p>i.e. i'm saying 'vampire numbers' are a lame kind of number because it involves arbitrary choices which are IMO stinky; they lack <i>exactlyness</i>