MathDB

N7

Part of 2017-IMOC

Problems(1)

chicken mcnugget theorem

Source: IMOC 2017 N7

8/15/2021
For fixed coprime positive integers a,ba,b, define nn to be bad if it is not of the form ax+by,x,y∈N∗ax+by,\enspace x,y\in\mathbb N^* Prove that there are finitely many bad positive integers. Also, find the sum of squares of them.
number theory