CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search "Critical line" redirects here. For the notion in phase transition, see Critical line (thermodynamics) . The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re( s ) = 1/2. The first non-trivial zeros can be seen at Im( s ) = ±14.135, ±21.022 and ±25.011. Millennium Prize Problems P versus NP problem Hodge conjecture Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap Navier–Stokes existence and smoothness Birch and Swinnerton-Dyer conjecture v t e In mathematics, the Riemann hypothesis , proposed by Bernhard Riemann ( 1859 ), is a conjecture that the non-trivial zeros of the Riemann zeta function all have real part 1/2. The name is also used for some closely related analogues, such as the Rie...