In BQE CORE, you can set the Project ID format at the global level in the Settings screen. There, you can specify a prefix, ID number and suffix for your project (you should add space or hyphen to separate them). The middle number is automatically incremented by one unit from the value entered. CORE then automatically pre-fills those IDs when you create new projects from this screen.
You can also choose in Settings how the project name displays on screen and in various drop-downs. Check CORE Help Center for details.