Number Theory

   

Conjecture that there Exist an Infinity of Odd Numbers N for Which N^2 is a Harshad-Coman Number

Authors: Marius Coman

In a previous paper I defined the notion of Harshad-Coman numbers as the numbers n with the property that (n – 1)/(s(n) – 1), where s(n) is the sum of the digits of n, is integer. In this paper I conjecture that there exist an infinity of odd numbers n for which n^2 is a Harshad-Coman number and I also make a classification in three classes of all the odd numbers greater than 1.

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[v1] 2016-11-12 05:01:08

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