Clue to Puzzle #18: Mean of Consecutive Primes

18. Can the mean of any two consecutive prime numbers ever be prime?

This is deceptively simple.

We know that maths around prime numbers can be tricky but really they don't have to be prime numbers, they could be anything. I guess that this is the point of the riddle, to see if you can break it down.

Lets imagine we are dealing with a bunch of people all lined up in height order. If we took any two of them and looked at the mean or average of their two heights then that could conceivably happen to be the height of a person in between. But what if the people you chose were consecutive?


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