Hassan Prime Suite: A Modular Computational Framework for Prime Distribution via Residue Classes

This version consolidates all previous research modules into a unified, executable framework. It includes modular C++ code for prime generation, density analysis, and Goldbach decomposition, supported by bilingual documentation in Arabic and English. The suite validates the Hassan Modular Prime Distribution Theorem and provides empirical coverage of all even cases in Goldbach's conjecture up to one million. This release supersedes earlier versions and serves as the definitive implementation of the Hasani Prime Suite

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-02
DOI
https://doi.org/10.5281/zenodo.17507943
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Hassan Prime Suite: A Modular Computational Framework for Prime Distribution via Residue Classes

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Hassan Prime Suite: A Modular Computational Framework for Prime Distribution via Residue Classes

article en

Abstract

This version consolidates all previous research modules into a unified, executable framework. It includes modular C++ code for prime generation, density analysis, and Goldbach decomposition, supported by bilingual documentation in Arabic and English. The suite validates the Hassan Modular Prime Distribution Theorem and provides empirical coverage of all even cases in Goldbach's conjecture up to one million. This release supersedes earlier versions and serves as the definitive implementation of the Hasani Prime Suite

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
Openalex Percentile: Top 30%
Analytic Number Theory Research
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Hassan Prime Suite: A Modular Computational Framework for Prime Distribution via Residue Classes · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS