Equivalent to Riemann Hypothesis

Through last number theory, I did learn that Riemann hypothesis is equivalent to the following inequality : $|\pi(x)-Li(x)| \leq \sqrt{x} log(x)$ where $Li(x)$ is the Logarithmic integral function and $\pi(x)$ is the prime-counting function. So, I have been more interested in it, i'd like to know more conditions which are equivalent to Riemann Hypothesis