Math on Tap!

Date and Time

• Monday, Apr 20, 2026  6pm - 7pm

Location

Details

Some of the most famous unsolved problems in mathematics can be stated using only the arithmetic of whole numbers taught in high school. Despite their simple statements, these problems have resisted proof for decades—or even centuries. In this talk, we will explore several such mysteries, including the Goldbach Conjecture, the Twin Prime Conjecture, and the Collatz Conjecture. Each asks a question that is easy to understand, easy to experiment with, and surprisingly difficult to resolve. Although mathematicians have developed powerful tools and achieved extraordinary successes, these problems remind us that our knowledge is still incomplete and that even elementary questions can remain unanswered. Along the way, we will see how mathematicians test conjectures, why simple problems can hide deep complexity, and what partial progress has taught us so far. The goal is not technical detail, but to showcase the beauty, accessibility, and ongoing intrigue of open problems in mathematics.