## Two Conjectures Involving Harshad Numbers, Primes and Powers of 2

**Authors:** Marius Coman

In this paper I make the following two conjectures: (I) For any prime p, p > 5, there exist n positive integer such that the sum of the digits of the number p*2^n is divisible by p; (II) For any prime p, p > 5, there exist an infinity of positive integers m such that the sum of the digits of the number p*2^m is prime.

**Comments:** 2 Pages.

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### Submission history

[v1] 2016-12-08 15:52:25

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