Prime Avoidance Property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th Powers of Piatetski–Shapiro Primes

In previous papers the authors established the prime avoidance property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th powers of prime numbers and of prime numbers within Beatty sequences. In this paper the authors consider <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th powers of Piatetski–Shapiro primes.

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Publication Details

Journal
Journal de Théorie des Nombres de Bordeaux
Published
2025-09-19
DOI
https://doi.org/10.5802/jtnb.1339
Primary Topic
Analytic Number Theory Research
Type
article
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article

Prime Avoidance Property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th Powers of Piatetski–Shapiro Primes

Michael Th. Rassias, Helmut Maier
Journal de Théorie des Nombres de Bordeaux
Analytic Number Theory Research
article

Prime Avoidance Property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th Powers of Piatetski–Shapiro Primes

Michael Th. Rassias, Helmut Maier
article en

Abstract

In previous papers the authors established the prime avoidance property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th powers of prime numbers and of prime numbers within Beatty sequences. In this paper the authors consider <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th powers of Piatetski–Shapiro primes.

Journal de Théorie des Nombres de BordeauxVol. 37(2)
Openalex Percentile: Top 67%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Prime Avoidance Property of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> -th Powers of Piatetski–Shapiro Primes — Michael Th. Rassias, Helmut Maier · Journal de Théorie des Nombres de Bordeaux (2025) | TGRS Research Map | TGRS