You can limit the number of projects that are listed in the Prospector tree.
The projects available to you are determined by the server and the database that you are logged in to. By default, all projects available in the database are listed in the Prospector tree under the Projects collection.
Reducing the number of projects that are listed in the Prospector tree will not only reduce the amount of data you will see, but also can reduce the time required to update the display of the tree.
You cannot turn off the display of the active project, and the name of the active project is not listed in the dialog box.