# Solutions of $X^n + Y^n = Z^{n+1}$

by Larry Hoehn (Austin Peay State University)

This article originally appeared in:
Mathematics Magazine
December, 1989

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

The author constructs infinitely many integer solutions to the title equation $X^n + Y^n = Z^{n+1}$.

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Capsule Course Topic(s):
Number Theory | Numbers With Special Forms or Properties, Sums of Powers