Comment by dmurray
1 day ago
Good points! Showing what constraints have to be met and proving that the prime numbers meet the requirements does seem worthy of a paper. But once that paper is in, hopefully we don't need 300,000 papers, one for each other sequence in the OEIS, proving that it can or can't be expressed like this.
I think another interesting avenue for future research is proving whether measures applied to prime numbers (e.g. their statistical distribution) have an equivalence in the Buenos Aires Constant. Intuitively, it seems likely, but I don't have a proof, just a hunch.