Surprised that noone mentioned Barely Sociable video on Satoshi Nakamoto[1] (last of a 3-part series). Pretty strong arguments as to why Adam Back is Satoshi, the amount of coincidences is just way too many IMO.

Craig Wright is definitely not Satoshi, the guy has some issues and so keeps claiming that he is.

[1] https://www.youtube.com/watch?v=XfcvX0P1b5g