In short, anything above 1024 is “safe” if I understand your definition of safe. Although, I can, of course, check all the ports on your box.
My impression (please correct if I'm wrong), but most people scanning boxes are usually not higher than 1024 for large-scale scanning. They can check all ports if this is a field of particular interest to them.
Perhaps explain your situation a little more and what is the desired end result, and we can formulate a plan for you.
Chris source share