What are the consequences of a proof of the Riemann Hypothesis? #math #riemannhypothesis #proof

3-Second Blueprint (English)

1. The Riemann Hypothesis conjectures all non-trivial zeros of the complex zeta function lie on the critical line Re(s) = 1/2.
2. A proof would tighten asymptotic error bounds on the prime-counting approximation Pi(x) ~ Li(x) and maximal prime gaps.
3. Proving RH neither locates exact primes nor breaks RSA cryptography, since conditional algorithms already assume it holds.