Comment by Someone
4 months ago
> any series of numbers can be expressed as a constant with this formula.
Not any series for this specific approach. As simple examples:
- series containing zeroes will lead to division by zero when computing the number
- if a series repeats a number, the term for it will be zero, and the number cannot be recovered
- if a series grows too fast, the next term ‘overflows’ into the previous one.
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.