# Exactly When is $$(a+b)^n \equiv a^n + b^n$$ (mod $$n$$)

by Pratibha Ghatage and Brian Scott (Cleveland State University)

This article originally appeared in:
College Mathematics Journal
September, 2005

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 4.3 Number Theory

The congruence $$(a+b)^n \equiv a^n + b^n$$ (mod $$n$$) when $$n$$ is prime, or is a Carmichael number

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Capsule Course Topic(s):
Number Theory | Congruences, Solving Congruence Equations