Sturmur's Harmonics: Smooth Numbers, Pell Equations, and the Music of Math

In this Deep Dive, we unravel smooth numbers and Sturmur's theorem, show how Pell equations unlock consecutive smooth pairs, and connect these ideas to music theory—just intonation and Pythagorean tuning. We’ll also touch on computational methods, number fields, and surprising applications in cryptography and coding theory.

Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information.

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