Bounded gaps and perfect power gaps in sequences of consecutive primes

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Authors: Katalin Gyarmati
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Analytic Number Theory Research Limits and Structures in Graph Theory Algebraic Geometry and Number Theory

Publication details

Journal / source
Analysis Mathematica
Publication date
14 August 2026
Language
EN