Uniform Prime-Index Support-Span Asymptotics for Integers

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 Status: Preprint — not peer reviewed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21417457
Primary Topic
Cryptography and Residue Arithmetic
Type
preprint
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preprint

Uniform Prime-Index Support-Span Asymptotics for Integers

Mohamed Mohamed Sabry Abdel Halim Mohamed El-Nashar
Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Residue Arithmetic
preprint

Uniform Prime-Index Support-Span Asymptotics for Integers

Mohamed Mohamed Sabry Abdel Halim Mohamed El-Nashar
preprint en

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 Status: Preprint — not peer reviewed.

Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Residue Arithmetic
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