Fascinating. My Erdős number is 4. According to wikipedia, the median Erdős number amongst all working mathematicians at the turn of the millennium is 5 and the average is 4.64. In this case, being below average is good. Here is how it happened: Paul Erdös coauthored with Janos Galambos who coauthored with Eugene Seneta who coauthored with Serge Dubuc (my thesis cosupervisor).