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Research Article

When the nontrivial, small divisors of a natural number are in arithmetic progression

Pages 969-977 | Received 25 Sep 2020, Published online: 12 Jun 2021
 

Abstract

Iannucci considered the positive divisors of a natural number n that do not exceed and found all forms of numbers whose such divisors are in arithmetic progression. In this paper, we generalize Iannucci’s result by excluding the trivial divisors 1 and (when n is a square). Surprisingly, the length of our arithmetic progression cannot exceed 5.

Mathematics Subject Classification (2020):

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