English

Polynomially growing integer sequences all whose terms are composite

Number Theory 2025-01-10 v1

Abstract

We identify pairs of positive integers (t,d)(t, d) with the property that the integer sequence with general term nt/d\lfloor{n^t/d\rfloor} contains at most finitely many primes.

Keywords

Cite

@article{arxiv.2501.04851,
  title  = {Polynomially growing integer sequences all whose terms are composite},
  author = {Dan Ismailescu and Yunkyu James Lee},
  journal= {arXiv preprint arXiv:2501.04851},
  year   = {2025}
}

Comments

12 pages, 1 table