Pi Hiding in Prime Regularities

Explore the fascinating connections between pi, prime numbers, and complex numbers in this 31-minute video from 3Blue1Brown. Delve into the world of number theory as it weaves these mathematical concepts together. Begin by counting lattice points and investigating Gaussian integers before discovering a unique lattice point recipe. Learn how to count on a single ring and exploit prime regularities to uncover hidden patterns. Combine multiple rings to reveal surprising relationships, and gain insight into various branches of number theory. Perfect for math enthusiasts and those curious about the intricate relationships between fundamental mathematical concepts.

- Introduction.
- Counting lattice points.
- Gaussian integers.
- The lattice point recipe.
- Counting on one ring.
- Exploiting prime regularity.
- Combining the rings.
- Branches of number theory.