Abstract

This paper is dedicated to studying the foundations of 7-plithogenic and 8-plithogenic number theory, where the central concepts about symbolic 7-plithogenic8-plithogenic integers will be discussed such as symbolic 7-plithogenic8-plithogenic Pythagoras triples and quadruples, symbolic 7-plithogenic8-plithogenic linear Diophantine equations, and the divisors. On the other hand, we prove that Euler's theorem is still true in the case of the symbolic 7-plithogenic8-pithogenic number theory.

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