Numbers with close factorizations

Series
Number Theory
Time
Wednesday, October 1, 2025 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Tsz Ho Chan – Kennesaw State University – tchan4@kennesaw.eduhttps://facultyweb.kennesaw.edu/tchan4/index.php
Organizer
Joshua Stucky

In this talk, we consider numbers with multiple close factorizations like $99990000 = 9999 \cdot 10000 = 9090 \cdot 11000$ and $3950100 = 1881 \cdot 2100 = 1890 \cdot 2090 = 1900 \cdot 2079$. We discuss optimal bounds on how close these factors can be relative to the size of the original numbers. It is related to the study of close lattice points on smooth curves.