Two of my teachers had Erdös nummer 2. I got a paper submitted that was a generalization of a technical report written by one of them. If I had asked him to be my co-author, instead of asking to review it before submission, I would have had Erdös nummer 3. Now I have infinity. I only discovered about Erdös much later after I wrote the paper.
Like J.G I also have an Erdős-Bacon number<p>> I have an Erdős-Bacon number of six (having written a paper with Shing-Tung Yau and appeared in the film <i>Windrider</i> with Nicole Kidman) [1].<p>[1] <a href="https://www.imperial.ac.uk/people/j.gauntlett" rel="nofollow">https://www.imperial.ac.uk/people/j.gauntlett</a>