It's quite some time since we arrived at Riemann's main result, the explicit formula

where is the prime power counting function introduced even earlier. It's high time we applied this!

First, let's take a look at when calculating it exactly:

It's quite some time since we arrived at Riemann's main result, the explicit formula

where is the prime power counting function introduced even earlier. It's high time we applied this!

First, let's take a look at when calculating it exactly: