RIEMANN HYPOTHESIS VISUALIZER
VIEW CONTROLS
t range start:
0
t range span:
50
Primes up to N:
200
Highlight zeros
Critical line σ=½
KNOWN ZEROS (non-trivial)
½ + 14.135i
½ + 21.022i
½ + 25.011i
½ + 30.425i
½ + 32.935i
½ + 37.586i
½ + 40.919i
½ + 43.327i
½ + 48.005i
½ + 49.774i
THE HYPOTHESIS
All non-trivial zeros of
ζ(s) = Σ n⁻ˢ lie on
Re(s) = ½ (critical line).
Verified for first
10¹³ zeros (Platt 2021).
Unproven since 1859.
Connection to primes:
π(x) = Li(x) - Σ Li(x^ρ)
where ρ are the zeros.
Riemann's 1859 paper.