Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More

Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More

3Blue1Brown via YouTube Direct link

- The spiral mystery

1 of 9

1 of 9

- The spiral mystery

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Why Do Prime Numbers Make These Spirals? - Dirichlet’s Theorem, Pi Approximations, and More

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  1. 1 - The spiral mystery
  2. 2 - Non-prime spirals
  3. 3 - Residue classes
  4. 4 - Why the galactic spirals
  5. 5 - Euler’s totient function
  6. 6 - The larger scale
  7. 7 - Dirichlet’s theorem
  8. 8 - Why care?
  9. 9 : In the video, I say that Dirichlet showed that the primes are equally distributed among allowable residue classes, but this is not historically accurate. By "allowable", here, I mean a residue cla…

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