my maths teacher was talking about a coin system that uses 1p 3p 17p plus some more I cannot remember. Is this a legitimate idea that someone has thought about before or is my teacher just making things up?
Russia and the USSR used 3-kopek coins for better efficiency.
How about denominations of 1, 2, 4, 8, 16, 32, 64, etc? You'd never need duplicate coins for a single transaction.
I think there should be a 7p coin as well. Sine 1,1,3,7,17 is a modified version of the Fibonacci sequence, where $;a\_n = 2a\_{n-1} + a\_{n-2};$. Just a guess.
It's 1, 3, 9, 27......
What we really need is negative coins to make paying for 99c things easier.
Harry potter? They used something like this if I remember correctly…
I might be talking garbage but wouldn’t a Fibonacci sequence be the way to go ?  Or does it have too many small ‘denominations’ ?