This analysis uncovers the prime avoidance property of k-th powers of Piatetski–Shapiro primes, suggesting deeper insights in number theory.
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.
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Maier et al. (2025) studied this question.
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