A heuristic density model for prime pairs based on the step function F(x) = 2π(x) − π(2x).

This repository contains the research manuscript and computational framework for a heuristic density model of prime pairs based on the structural residue function F(x)=2π(x)−π(2x). The model interprets the formation of prime pairs (including Goldbach and Polignac configurations) as a consequence of logarithmic density loss between dyadic intervals [0,x] and [x,2x]

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20973041
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

A heuristic density model for prime pairs based on the step function F(x) = 2π(x) − π(2x).

Yandry Marcelo Intriago-Delgado
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

A heuristic density model for prime pairs based on the step function F(x) = 2π(x) − π(2x).

Yandry Marcelo Intriago-Delgado
preprint en

Abstract

This repository contains the research manuscript and computational framework for a heuristic density model of prime pairs based on the structural residue function F(x)=2π(x)−π(2x). The model interprets the formation of prime pairs (including Goldbach and Polignac configurations) as a consequence of logarithmic density loss between dyadic intervals [0,x] and [x,2x]

Zenodo (CERN European Organization for Nuclear Research)
Universidad Independiente (CR)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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A heuristic density model for prime pairs based on the step function F(x) = 2π(x) − π(2x). — Yandry Marcelo Intriago-Delgado · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS