i3 and i5 is just a name. You can have an intel i7 processor from previous generations that are worse than the i3 intel models right now.
I mostly pay attention to cores, clock speed, turbo speed and what memory.
For example, if you consider multi-monitor setup and playing games while watching videos or editing, having more cores is good. Especially if you are doing some video-editing and other stuff as well. Clock speed is what I consider the consistent strength of each core, the higher the better. Turbo boost speed is the speed it can reach when it needs that extra oomph. Although sometimes turbo speed can make things worse so I prefer a good consistent clock speed on cores.
So, if you are using your gaming desktop for gaming only, 4 to 6 cores is all you need. Your CPU has a 3.5 GHz base clock speed, which I consider amazing since it's a latest new model with new motherboard, so data transfer will go fast as well due to the new architecture (compared to my CPU that got released 5 years ago, which is slower despite having 3.5 GHz clock speed, solely because of the old architecture bottlenecking stuff)
P.S. anyone more knowledgeable, please correct me where wrong as this is only from what I've read and seen so far.