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Bounded gaps and perfect power gaps in sequences of consecutive primes

Gyarmati, Katalin (2026) Bounded gaps and perfect power gaps in sequences of consecutive primes. ANALYSIS MATHEMATICA. ISSN 0133-3852 (Submitted)

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Abstract

We study whether several consecutive prime gaps can all be relatively large at the same time, or is it possible that all are squares or perfect powers, or perhaps none of them are squares? A few related results and problems are also presented.

Item Type: Article
Uncontrolled Keywords: prime gaps, squares and powers
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
Depositing User: Katalin Gyarmati
Date Deposited: 09 Apr 2026 11:14
Last Modified: 09 Apr 2026 11:14
URI: https://real.mtak.hu/id/eprint/236891

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