Adrian W. Dudek

collaborators

2 papers

math.NT2025

Almost primes between all squares

Adrian W. Dudek, Daniel R. Johnston

We prove that for all $n \geq 1$ there exists a number between $n^{2}$ and $(n + 1)^{2}$ with at most 4 prime factors. This is the first result of this kind that holds for every $n \geq 1$ …

math.CO2024

On Counting Constructions and Isomorphism Classes of $I$ -Graphs

Harrison Bohl, Adrian W. Dudek

We prove a collection of asymptotic density results for several interesting classes of the $I$ -graphs. Specifically, we quantify precisely the proportion of $I$ -graphs that are gen…

Almost primes between all squares

On Counting Constructions and Isomorphism Classes of I-Graphs

On Counting Constructions and Isomorphism Classes of $I$ -Graphs