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