## Second Edition: The Twin Power Conjecture

**Authors:** Yuly Shipilevsky

We consider a new conjecture regarding powers of integer numbers and
more specifically, we are interesting in existence and finding pairs of integers:
n ≥ 2 and m ≥ 2, such that nm
= mn. We conjecture that n = 2, m = 4
and n = 4, m = 2 are the only integral solutions.
Next, we consider the corresponding generalizations for Hypercomplex
Integers: Gaussian and Lipschitz Integers.

**Comments:** 5 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-05-16 16:10:59

**Unique-IP document downloads:** 14 times

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