Name most famous doctor in history of medicine

Dr Daniel Sokol for BBC:

"When I asked my medical students to name famous doctors in the history of medicine, their first answer was Harold Shipman, the GP who murdered hundreds of patients.

I nearly swallowed my tongue.

Their second answer was House, the fictional doctor from the American TV series.

Tears of frustration welled up in my eyes.

Their third answer was Hippocrates, presumed author of the Hippocratic Oath - I breathed a sigh of relief."

References:
A guide to the Hippocratic Oath. Dr Daniel Sokol, BBC.
Image source: Hippocrates of Kos, engraving by Peter Paul Rubens, 1638, courtesy of the National Library of Medicine, public domain.