Ramanujan-Nagell type equations and perfect numbers
Philippe Ellia, Paolo Menegatti
TL;DR
This paper investigates the relationship between perfect numbers by employing Ramanujan-Nagell type equations to analyze their differences.
Contribution
It introduces new results connecting perfect numbers and Ramanujan-Nagell equations, advancing understanding of their mathematical properties.
Findings
Established bounds on the distance between perfect numbers.
Linked perfect numbers to solutions of Ramanujan-Nagell equations.
Provided new insights into the structure of perfect numbers.
Abstract
We prove some results on the distance between two perfect numbers using Ramanujan-Nagell type equations.
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Taxonomy
TopicsAdvanced Mathematical Identities · Functional Equations Stability Results · Mathematical functions and polynomials