Uniform Prime-Index Support-Span Asymptotics for Integers

Read full text
Authors: Mohamed Mohamed Sabry Abdel Halim Mohamed El-Nashar
Cited by: 4

Abstract

This preprint investigates uniform prime-index support-span asymptotics for integers, combining theoretical analysis with computational experiments and explicit examples. The deposit contains the main preprint, its LaTeX source, a supplementary computational evidence report, a reader-oriented README file, and a reproducibility package containing the associated computational materials, numerical outputs, selected figures, and integrity information. The work forms part of a broader research program concerning prime-index gap profiles and support-span asymptotics. The computational materials are provided to support inspection, reproduction, and further investigation of the reported observations. Status: Preprint — not peer reviewed.

Fields of Study & Subjects

Cryptography and Residue Arithmetic Analytic Number Theory Research Algebraic Geometry and Number Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 July 2026
Language
EN
Document type
Preprint