Correlation Analysis of Primes in Decimal-digit Clusters

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Authors: Rodolfo Carneiro Moroz
Cited by: 0

Abstract

The search for polynomials related to the generation of prime numbers is as complex as itis ancient. Since the time of Diophantine equations, great mathematicians have devoted effort to thissubject, which holds singular importance in mathematics, particularly in number theory. It is widelyknown that prime numbers exist in an apparently random manner, and therefore any search metric, if itexists, is complex and costly in terms of resources. This work has an initial character, proposing ananalysis of correlation in clusters of primes, focusing on the search for measurable connections in theseparation of regions of known primes and filtering by decimals. The study will present the resultsobtained, the tested equations to generate groups of primes and a proposed approach for correlation.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Theories and Applications Mathematical and Computational Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 January 2026
Language
PT
Document type
Preprint