Prime Avoidance Property of k-th Powers of Piatetski-Shapiro Primes

2023/06/29 by Helmut Maier, Maier, Helmut, Michael Th. Rassias +1 · 1 citation
Computer Science · Mathematics · #11A63 #11N05 #11P32 #Advanced Mathematical Identities #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2306.16777

openalex publication_date 2023/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Diophantine approximation with mixed powers of Piatetski-Shapiro primes

Related

• Piatetski-Shapiro Primes in a Beatty Sequence
• Hua's Theorem with the Primes in Piatetski-Shapiro Prime Sets
• The ternary Goldbach-Vinogradov theorem with almost equal Piatetski-Shapiro primes
• Waring-Goldbach Problem with Piatetski-Shapiro Primes
• Piatetski-Shapiro primes in the intersection of multiple Beatty sequences