Dan Ismailescu

collaborators

2 papers

math.NT2026

Explicit Algebraic Numbers all whose Integer Parts of Powers are Composite

Suyeong Hahn, Dan Ismailescu, Ganghun Kim +1

We present several explicit classes of algebraic integers $α > 1$ such that $⌊ α^{n} ⌋$ is composite for all but finitely many $n$ .

math.NT2025

Polynomially growing integer sequences all whose terms are composite

Dan Ismailescu, Yunkyu James Lee

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