Quanta Magazine presents Rutgers University mathematics professor Alex Konorovich explaining “The Reimann Hypothesis” (2021).
It’s hard to describe this for a short film review page. It has been simulated on computers with trillions of computations, but it hasn’t been proven logically.
It will help predict the distribution of primes. Imagine a city, maybe in a science fiction movie (maybe in an O’Neill cylinder) where every building represents the number of floors equal to the number of prime factors of some prime number, with the streets arranged in a grid matching these numbers.
Proving the theorem and related ones (there is even a “Mobius function”) leads to some amazing animation. It also corresponds to how quarks and bosons or the parts of baryonic matter behave.
Illustration is a Farey diagram, Wikipedia embed, click for attribution.