An Unconditional Proof of the Unboundedness of OEIS A182134 via Maynard's Prime-Cluster Theorem

This paper presents a short unconditional proof of the unboundedness of OEIS A182134. Let \(p_n\) denote the \(n\)-th prime and define \(a(n)=\#\{q\text{ prime}:p_n<q

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23654199
Primary Topic
Analytic Number Theory Research
Type
article
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article

An Unconditional Proof of the Unboundedness of OEIS A182134 via Maynard's Prime-Cluster Theorem

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

An Unconditional Proof of the Unboundedness of OEIS A182134 via Maynard's Prime-Cluster Theorem

dr vengy
article en

Abstract

This paper presents a short unconditional proof of the unboundedness of OEIS A182134. Let \(p_n\) denote the \(n\)-th prime and define \(a(n)=\#\{q\text{ prime}:p_n<q

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Analytic Number Theory Research
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An Unconditional Proof of the Unboundedness of OEIS A182134 via Maynard's Prime-Cluster Theorem — dr vengy · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS