Abstract

An abundancy result for the two prime power case and results for an equations of Goormaghtigh

Highlights

  • We will start with a review of some basic properties that is similar, at times, to the introductory section in [4]

  • If p is a prime number and m is a nonnegative integer, the sum of the factors of pm is given by σ(pm) =

  • If we continue to express the positive integer a in the form k pmj j, the abundancy of a is given by j=1

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Summary

Introduction

We will start with a review of some basic properties that is similar, at times, to the introductory section in [4]. Pk are distinct primes, k is a j=1 positive integer, and m1, m2, . If we continue to express the positive integer a in the form k pmj j , the abundancy of a is given by j=1

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