  Finding hidden order within disorder is a common interest in material
science, wave physics, and mathematics. The Riemann hypothesis, stating the
locations of nontrivial zeros of the Riemann zeta function, tentatively
characterizes statistical order in the seemingly random distribution of prime
numbers. This famous conjecture has inspired various connections with different
branches of physics, recently with non-Hermitian physics, quantum field theory,
trapped-ion qubits, and hyperuniformity. Here we develop the computing platform
for the Riemann zeta function by employing classical scattering of light. We
show that the Riemann hypothesis suggests the landscape of semi-infinite
optical scatterers for the perfect reflectionless condition under the Born
approximation. To examine the validity of the scattering-based computation, we
investigate the asymptotic behaviours of suppressed reflections with the
increasing number of scatterers and the emergence of multiple scattering. The
result provides another bridge between classical physics and the Riemann zeros,
exhibiting the design of wave devices inspired by number theory.
