The PS5 controller doesn't just work with the PS4, so you must pick up a Bluetooth adapter. This will usually come in the form of a USB device which needs to be plugged into the PS4. The adapter ...

Learn how to connect your PS4 or PS5 controller to your PC, to determine which games it works with, and to make it work with titles from other platforms.

Pairing a controller to your console should always be considered. If by chance you're wondering about your PS5 controller's compatibility with PS5, here's a short answer.