Work

Recursive Approximations of Perfect Numbers via Nested Roots

Year: 2025

Type: article

Abstract: We investigate an alternative, recursive formulation of even perfect numbers derived from the classical Mersenne prime expression. This recursive definition utilizes nested square roots to approximate the perfect number progressively, offering an information-theoretic interpretation of compression and expansion across bit-encoded structures. We explore this approximation both algebraically and in its binary representation.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15665292

Author: Gugliara, Lorenzo

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6949517213

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