I just learned that MathSciNet has a "collaboration distance finder" with a button for Paul Erdos, enabling anyone to figure out his or her Erdos Number (think "six degrees of Kevin Bacon," only for scientists and mathematicians collaborating on papers rather than actors appearing in movies together.).
I don't appear in MathSciNet's database, but my late academic advisor does, and I have appeared as co-author with him on a paper, so I was able to figure mine out. At most, it's 5.
As far as I know I don't have a finite Bacon Number.