Polynomially growing integer sequences all whose terms are composite

Fuente: arXiv
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Hauptverfasser: Ismailescu, Dan, Lee, Yunkyu James
Format: Preprint
Veröffentlicht: 2025
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author Ismailescu, Dan
Lee, Yunkyu James
author_facet Ismailescu, Dan
Lee, Yunkyu James
contents We identify pairs of positive integers $(t, d)$ with the property that the integer sequence with general term $\lfloor{n^t/d\rfloor}$ contains at most finitely many primes.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04851
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Polynomially growing integer sequences all whose terms are composite
Ismailescu, Dan
Lee, Yunkyu James
Number Theory
11B50, 11A41, 11Y55
We identify pairs of positive integers $(t, d)$ with the property that the integer sequence with general term $\lfloor{n^t/d\rfloor}$ contains at most finitely many primes.
title Polynomially growing integer sequences all whose terms are composite
topic Number Theory
11B50, 11A41, 11Y55
url https://arxiv.org/abs/2501.04851