Prime Avoidance Property of $k$-th Powers of Piatetski–Shapiro Primes
Helmut Maier1 ; Michael Th. Rassias2
1 Department of Mathematics, University of Ulm, Helmholtzstrasse 18, 89081 Ulm, Germany
2 Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece
Journal de théorie des nombres de Bordeaux, Tome 37 (2025) no. 2, pp. 715-725

In previous papers the authors established the prime avoidance property of $k$-th powers of prime numbers and of prime numbers within Beatty sequences. In this paper the authors consider $k$-th powers of Piatetski–Shapiro primes.

Dans des articles antérieurs, les auteurs ont établi la propriété d’évitement des nombres premiers pour les puissances $k$-ièmes de nombres premiers et pour les nombres premiers dans les suites de Beatty. Dans cet article, les auteurs considèrent les puissances $k$-ièmes des nombres premiers de Piatetski–Shapiro.

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DOI : 10.5802/jtnb.1339
Classification : 11P32, 11N05, 11A63
Keywords: Piatetski–Shapiro primes, $k$-th powers

Helmut Maier 1 ; Michael Th. Rassias 2

1 Department of Mathematics, University of Ulm, Helmholtzstrasse 18, 89081 Ulm, Germany
2 Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Helmut Maier; Michael Th. Rassias. Prime Avoidance Property of $k$-th Powers of Piatetski–Shapiro Primes. Journal de théorie des nombres de Bordeaux, Tome 37 (2025) no. 2, pp. 715-725. doi: 10.5802/jtnb.1339

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