This is an interesting problem (for mathematicians and a few more of us) and I'm sure Matt Parker will cover this in a video soon and I'll love his explanation.
But for a mechanism to ship in a physical game? Big dice are difficult and expensive. Printing a deck of card that has the number 1 (or 0) to N on it will always be cheaper and has solved the problem for at least N up to 52.
But for a mechanism to ship in a physical game? Big dice are difficult and expensive. Printing a deck of card that has the number 1 (or 0) to N on it will always be cheaper and has solved the problem for at least N up to 52.