2012 OIM Problems/Problem 4

Problem

Let $a, b, c, d$ be positive integers such that $a - b + c - d$ is odd and divides $a^2 - b^2 + c^2 - d^2$ . Show that $a - b + c - d$ divides $a^n - b^n + c^n - d^n$ for all positive integers $n$ .

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

2012 OIM Problems/Problem 4

Problem

Solution

See also