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First 3500 Prime Numbers on Polar Grid

First 3500 Prime Numbers on Polar Grid
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2020-02-26 22:28
FunctionTrigonometrySequenceCoordinate GeometryGeometric Construction
This example demonstrates the visualization of the first 3500 prime numbers on a polar grid, integrating concepts of prime numbers, polar coordinates, trigonometric functions, and coordinate geometry. The construction involves specific GeoGebra commands/objects like A1, B1, C1, ..., I4, J4, showcasing geometric and analytical techniques. Suitable for high school and above, it serves as an educational tool for exploring prime number distributions and polar coordinate systems.

GeoGebra Commands & Parameters

  1. 2
  2. 2371
  3. 5281
  4. 8389
  5. 11677
  6. 14951
  7. 18329
  8. 21851
  9. 25409
  10. 28949
  11. 3
  12. 2377
  13. 5297
  14. 8419
  15. 11681
  16. 14957
  17. 18341
  18. 21859
  19. 25411
  20. 28961
  21. 5
  22. 2381
  23. 5303
  24. 8423
  25. 11689
  26. 14969
  27. 18353
  28. 21863
  29. 25423
  30. 28979
  31. 7
  32. 2383
  33. 5309
  34. 8429
  35. 11699
  36. 14983
  37. 18367
  38. 21871
  39. 25439
  40. 29009
  41. 11
  42. 2389
  43. 5323
  44. 8431
  45. 11701
  46. 15013
  47. 18371
  48. 21881
  49. 25447
  50. 29017
  51. 13
  52. 2393
  53. 5333
  54. 8443
  55. 11717
  56. 15017
  57. 18379
  58. 21893
  59. 25453
  60. 29021

AI Drawing Prompt Reference

Plot the distribution of the first 3500 prime numbers on a polar grid, where each prime number corresponds to a point with its position determined by the square root of the prime number, and the angle is a multiple of the prime number divided by 360. First, draw the polar coordinate system, then plot each point according to the prime number list.
The prompt above was compiled from the original drawing commands and is for reference only.