Tsz Ho Chan

collaborators

3 papers

math.NT2025

Numbers with Four Close Factorizations

Tsz Ho Chan, Laura Holmes, Michael Liu +1

In this paper, we study numbers $n$ that can be factored in four different ways as $n = A B = (A + a_{1}) (B - b_{1}) = (A + a_{2}) (B - b_{2}) = (A + a_{3}) (B - b_{3})$ with $B \leq A$ , $1 \l…

math.NT2025

A note on three consecutive powerful numbers

Tsz Ho Chan

This note concerns the non-existence of three consecutive powerful numbers. We use Pell equations, elliptic curves, and second-order recurrences to show that there are no such trip…

math.NT2013

Numbers with three close factorizations

Tsz Ho Chan

In this paper, we study numbers $n$ that can be factored in three different ways as $n = A_{1} B_{1} = A_{2} B_{2} = A_{3} B_{3}$ where $A_{1}$ , $A_{2}$ , $A_{3}$ are close to each other and $B_{1}$ , $…