Figures of Merit (Erdős number) in Resume/CV
As a mathematician, I don't view an Erdős number as a sign of merit in any serious way. It's more of a cultural in-joke.  

There are over 9,000 people with Erdős number 2, and far more than that with Erdős number 3, so it doesn't really set you apart. So, if you published with Erdős, that fact will be clear form your list of papers, and if you haven't, your Erdős number tells very little about you. 

My own Erdős number is 3 (two ways), FWIW.