Polynomially growing integer sequences all whose terms are composite

2025/01/08 by Ismailescu, Dan, Lee, Yunkyu James
#11A41 #11B50 #11Y55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2501.04851

Abstract

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

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