Erdos-Bacon number

A recent game of 6 degrees of Kevin Bacon (which shouldn't be played with people who grew up in the 80s) got me thinking about Erdos - that insanely prolific mathematician. He published over 1400 papers in his lifetime (1913 - 1996). It's now commonplace for mathematicians to chest bump over their Erdos numbers (it's true, I've seen it).

Interestingly, a small number of people are connected to both Erdős and Bacon and thus have an Erdős–Bacon number. Actress-mathematician, Danica McKellar, best known for playing Winnie Cooper on the TV series, The Wonder Years, has Erdős number of 4 and a Bacon number of 2 (I always liked Winnie). The lowest known Erdős–Bacon num is 3 for Daniel Kleitman, a math prof at MIT; his Erdős number is 1 and his Bacon number is 2 (he had a short cameo in Good Will Hunting).

I wonder what the degrees of separation are between Erdos and Bacon?