From: jm bergot on
Take the coprimes of 24 {1,5,7,11,13,17,19,23} and
divide them into 24 to get {0,4,3,2,11,7,5,1} with sum 33. Find the remainders of the squares of these numbers
when divided by 24 to get {1,4,9,16,1,1,1} also with
the same sum of 33. How often does this happen?