Shock, horror, I've actually been doing some Maths recently.
So here's one for you to discuss with the family over dinner tonight.
This is taken from Number Theory Example Sheet 4.
Given that 2 is a primitive root of 5, find a primitive root b of 25 (b is of the form 2+5x). Is this same b a primitive root of 125?
Nope, I've not done it yet either...