Pythagorean Triples and Some New Conjectures
From The Art of Mathematics by Carol Jacoby
March 25, 2026 · 20 min
About this episode
Ben Cornish discusses Pythagorean triples and introduces new conjectures related to them.
Ben Cornish, host of The Mathematicians Podcast, discusses Pythagorean triples, integers that can be the sides of a right triangle. There are infinitely many primitive triples, as he proves. This concept has been around even before Pythagoras and across cultures. Yet, there are always new questions to ask. Answering one involves, surprisingly, complex numbers. We leave you with an open conjecture.
People in this episode
Host: Ben Cornish
Topics covered
- Pythagorean triples
- mathematics
- right triangles
- primitive triples
- complex numbers
- conjectures
Keywords
- Pythagorean triples
- primitive triples
- right triangle
- complex numbers
- mathematics
- conjectures
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