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Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Clasificación de primos según su comportamiento en Collatz: familias paramétricas y una conjetura sobre la realización de exponentes

Authors: del Toro Barroso, Jose Omar;

Clasificación de primos según su comportamiento en Collatz: familias paramétricas y una conjetura sobre la realización de exponentes

Abstract

Este repositorio contiene tres recursos complementarios sobre el comportamiento de los números primos en la función de Collatz. 1. Artículo principal: "Clasificación de primos según su comportamiento en Collatz: familias paramétricas y una conjetura sobre la realización de exponentes". Se introduce una clasificación de los primos basada en la descomposición 3p+1 = 2^k q, distinguiendo los crecientes (k=1, q>p) y los decrecientes (k>=2, q primo y q=2 admite al menos un primo decreciente, relacionándola con familias clásicas (Cunningham, Sophie Germain) y con la conjetura de Bateman–Horn. 2. Evidencia computacional: "Evidencia computacional para la clasificación de primos en la órbita de Collatz". Contiene las tablas completas obtenidas en la búsqueda: primeros 20 primos crecientes, un ejemplo de primo decreciente para cada exponente k presente, la cantidad total de primos decrecientes por k, y una muestra de los primeros 100 primos decrecientes. Se incluyen además los archivos CSV completos (crecientes.csv, decrecientes.csv) con todos los registros (más de 250 000 primos). 3. Código fuente: "Código fuente: búsqueda de primos crecientes y decrecientes en Collatz". Script en Python (clasificacion_primos.py) que realiza la búsqueda, utilizando la biblioteca sympy. Genera los archivos CSV y permite replicar los resultados o extender la exploración a límites superio res.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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