Carmichael numbers composed of Piatetski-Shapiro primes in Beatty sequences

The Piatetski-Shapiro sequences are sequences of the form (⌊nc⌋)n=1∞{\left(\lfloor {n}^{c}\rfloor )}_{n=1}^{\infty } and the Beatty sequence is the sequence of integers (⌊αn+β⌋)n=1∞{(\lfloor \alpha n+\beta \rfloor )}_{n=1}^{\infty }. We prove that there are infinitely many Carmichael numbers compose...

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Bibliographic Details
Main Authors: Qi Jinyun, Guo Victor Zhenyu
Format: Article
Language:English
Published: De Gruyter 2025-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2025-0157
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