Wikipedia says that Natalie Portman has an Erdos number of 5 or better - she was a coauthor of a paper on "Frontal Lobe Activation during Object Permanence: Data from Near-Infrared Spectroscopy". She's one of a small number of people who have both Erdos numbers and Kevin Bacon numbers....

And Grateful Dead drummer Bill Kreutzman can not only count to 11/4 and 14/8, but he's also a marine biologist. But of course a lot of the 60s musicians had friends who did chemical engineering of various sorts... as well as doing large amounts of accoustical engineering because nobody really knew how to do concert recording before then.