Here is a list of my PhD supervisor, their PhD supervisor... their academic `advisor' (in the days before PhDs)... etc.
Note that the latter (`advisor') links are due to Wikipedia, so trust them as much as you want to. But these are also reported by the Mathematics Genealogy Project (MGP). Also there are some additional branches, not shown above, due to multiple `advisors'.
In the MGP you can take things back even further. From Isaac Newton to:
For those names in bold above, see here.
In addition, a different route, via Ernest Rutherford then Alexander Bickerton, … leads all the way back to Nasir al-Din al-Tusi (or perhaps more properly Naṣīr al-Dīn al-Ṭūsī), who lived AD 1201--1274. See this .pdf for the route, which also includes the route above, including some of the additional `advisor' branches.
Update 2018 August: the MGP now goes back two further generations from Nasir al-Din al-Tusi, to Kamal al Din Ibn Yunus, and then back to Sharaf al-Dīn al-Ṭūsī, who according to Wikipedia was born c. 1135. See also this short biography. Sharaf al-Dīn al-Ṭūsī is also the person in MGP with most descentants, 151721.
My Erdős number is 5 because, according to the American Mathematical Society's webform, my PhD supervisor -- who I have co-authored many papers with -- has an Erdős number of 4). I don't have a Bacon number.
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