## Conjecture that there Exist an Infinity of Poulet Numbers Which Are Also Harshad-Coman Numbers

**Authors:** Marius Coman

OEIS defines the notion of Harshad numbers as the numbers n with the property that n/s(n), where s(n) is the sum of the digits of n, is integer (see the sequence A005349). In this paper I define 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 and I make the conjecture that there exist an infinity of Poulet numbers which are also Harshad-Coman numbers.

**Comments:** 2 Pages.

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### Submission history

[v1] 2016-11-11 16:00:16

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