Number Theory


Characterization of the Integers of the Form (Z^n-Y^n)/(z-y) that Are Divisible by Some Perfect Nth Powers.

Authors: Rachid Marsli

In this work, we show a sufficient and necessary condition for an integer of the form (z^n-y^n)/(z-y)to be divisible by some perfect nth power p^n, where p is an odd prime. We also show how to construct such integers. A link between the main result and Fermat’s last theorem is discussed. Other related ideas, examples and applications are provided.

Comments: 11 Pages.

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Submission history

[v1] 2019-01-01 16:19:56

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