Paintable
Source:
November 28, 2005
number theoryrelatively prime
Problem Statement
Harold, Tanya, and Ulysses paint a very long picket fence.
Harold starts with the first picket and paints every th picket;
Tanya starts with the second picket and paints everth th picket; and
Ulysses starts with the third picket and paints every th picket.
Call the positive integer when the triple of positive integers results in every picket being painted exaclty once. Find the sum of all the paintable integers.