there has got to be a better objective method to define interesting numbers other than inclusion in a number sequence compendium. perhaps if we hypothesize tha

there has got to be a better objective method to define interesting numbers other than inclusion in a number sequence compendium. perhaps if we hypothesize that there are a (countably) infinite number of number theoretic theorems, might every number be either a unique case or the largest or the smallest example of some instance?