Prime numbers are often defined as the most mysterious figures in mathematics and they have been being studied for almost 2500 years, yet we haven't fully understood what their nature and structure consists on. So I think I'm right by stating that there's no such thing as a formula that exhaustively and precisely describes the seemingly random distribution of primes.
So my questions are:
- What would be the impact of the discovery of such formula? Would the its finding be of great importance? I assume so, since it would pretty much solve the prime number mystery, right? Could you please compare it with another discovery?
- Would the discovery of an easily computable formula that generates every single prime number be relevant?
It turns out that opinions (there shouldn't be, there should be a definite answer since they're not subjective questions) differ widely depending on the site you're on, and a quality reply would be greatly appreciated.
Thank you in advance, Dan