I find this disturbing because (do hear me out) the fundamental arithmetic theorem would have me re-express all those numbers as the product of primes that the

I find this disturbing because (do hear me out) the fundamental arithmetic theorem would have me re-express all those numbers as the product of primes that they actually are. 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 i.e. i'm saying 'vampire numbers' are a lame kind of number because it involves arbitrary choices which are IMO stinky; they lack exactlyness