A set of three whole numbers that are the side lengths of a right triangle is called a Pythagorean triple. There are many questions regarding these triples that have engaged the attention of prominent mathematicians throughout the centuries. In this lecture we will discuss some of these problems and their solutions. We will also examine the construction of an infinite data tree that contains all primitive Pythagorean triples, without duplication. For more information about the math colloquium, go to https://math.sonoma.edu/math-colloquium.

Zoom Link: https://sonomastate.zoom.us/j/81159526611#success