Pseudopowers
Pseudopowers are a concept in number theory related to the study of powers of integers. A pseudopower of an integer n is a number m that can be expressed as a power of some integer k, where the base k is not necessarily n, and the exponent is greater than 1. In simpler terms, a pseudopower of n is a number that looks like a power (like x^y where y > 1) but the base x might not be directly related to n in a simple way, such as being a factor or multiple.
The study of pseudopowers often arises when investigating properties of composite numbers that might resemble perfect
The term "pseudopower" is not as formally established or universally defined as "perfect power" in mathematical