Assuming the Riemann Hypothesis,
$$\pi(x)=R(x)-\sum_\rho R(x^\rho),$$
where $\pi(x)$ is the prime counting function and $R(x)$ is the Riemann prime counting function.
What does a plot of $g(x)=e^{\pi'(x)}$ look like?
Another option might be using:
$$\quad\Pi'(x)=\sum\limits_{n=2}^\infty\frac{\Lambda(n)}{\log(n)}\,\delta(x-n)\quad\text{(derivative of Riemann's prime-power counting function)}.$$
Define $f(x)=e^{\Pi'(x)}.$ What does the plot of $f(x)$ look like?
Edit: Assuming the Riemann Hypothesis $\pi(x)=Li(x)+O(\sqrt{x}\ln(x)).$
I can take the derivative of the first term $Li(x)$ but I'm not sure how to take the derivative of the second term.