Riemann Hypothesis

The Riemann Hypothesis is the conjecture that every non-trivial zero $\rho$ of the Riemann zeta function has real part $1/2$.

It sits at the centre of a web linking zeta zeros to the distribution of prime numbers. Riemann Console distinguishes the formidable finite numerical evidence for RH from a proof of its universal statement, and does not claim that RH has been proved.

See also: Riemann zeta function, non-trivial zero, critical line, proof, numerical evidence. For a fuller introduction, read What is the Riemann Hypothesis?. To see the part of the programme that has crossed the public boundary, explore the Research map.