picked up, no one said anything, hung up

just got a call from this number. I've stopped answering, but it's very annoying to get these calls. It's obviously no one I know or care to speak with and no message is left. What can be done about these scammy calls? If you call the number back, an outgoing message says, "To be removed from the list, please enter your 10 digit phone number, area code first." No company ID is given. I think it would be foolish to give them the number, as I have no confidence this would actually end the calls.