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Eratosthenes Sieve Visualization

Eratosthenes Sieve Visualization
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2015-12-01 13:39
FunctionSequenceGeometric ConstructionSlider AnimationGraphing
This example demonstrates the Sieve of Eratosthenes algorithm for finding prime numbers. It involves core math concepts like prime number determination and algorithm visualization. Construction highlights include using GeoGebra commands/objects: TableText (text table) and Circle (drawing circles). Suitable for middle school students and above or math enthusiasts learning about algorithms and number theory.

GeoGebra Commands & Parameters

  1. TableText({{A1, B1, C1, D1, E1, F1, G1, H1, I1, J1}, {A2, B2, C2, D2, E2, F2, G2, H2, I2, J2}, {A3, B3, C3, D3, E3, F3, G3, H3, I3, J3}, {A4, B4, C4, D4, E4, F4, G4, H4, I4, J4}, {A5, B5, C5, D5, E5, F5, G5, H5, I5, J5}, {A6, B6, C6, D6, E6, F6, G6, H6, I6, J6}, {A7, B7, C7, D7, E7, F7, G7, H7, I7, J7}, {A8, B8, C8, D8, E8, F8, G8, H8, I8, J8}, {A9, B9, C9, D9, E9, F9, G9, H9, I9, J9}, {A10, B10, C10, D10, E10, F10, G10, H10, I10, J10}}, "ch") → text1
  2. Circle(B_{45}, 0.3) → c_1
  3. Circle(B_{46}, 0.3) → c_2
  4. Circle(B_{47}, 0.3) → c_3
  5. Circle(B_{48}, 0.3) → c_4
  6. Circle(B_{52}, 0.3) → c_5
  7. Circle(B_{51}, 0.3) → c_6
  8. Circle(B_{50}, 0.3) → c_7
  9. Circle(B_{49}, 0.3) → c_8
  10. Circle(B_{54}, 0.3) → c_9
  11. Circle(B_{53}, 0.3) → c_{10}
  12. Circle(B_{64}, 0.3) → c_{11}
  13. Circle(B_{63}, 0.3) → c_{12}
  14. Circle(B_{62}, 0.3) → c_{13}
  15. Circle(B_{61}, 0.3) → c_{14}
  16. Circle(B_{60}, 0.3) → c_{15}
  17. Circle(B_{59}, 0.3) → c_{16}
  18. Circle(B_{58}, 0.3) → c_{17}
  19. Circle(B_{57}, 0.3) → c_{18}
  20. Circle(B_{56}, 0.3) → c_{19}
  21. Circle(B_{55}, 0.3) → c_{20}
  22. Circle(B_{74}, 0.3) → c_{21}
  23. Circle(B_{73}, 0.3) → c_{22}
  24. Circle(B_{72}, 0.3) → c_{23}
  25. Circle(B_{71}, 0.3) → c_{24}
  26. Circle(B_{70}, 0.3) → c_{25}
  27. Circle(B_{69}, 0.3) → c_{26}
  28. Circle(B_{68}, 0.3) → c_{27}
  29. Circle(B_{67}, 0.3) → c_{28}
  30. Circle(B_{66}, 0.3) → c_{29}
  31. Circle(B_{65}, 0.3) → c_{30}
  32. Circle(B_{84}, 0.3) → c_{31}
  33. Circle(B_{83}, 0.3) → c_{32}
  34. Circle(B_{82}, 0.3) → c_{33}
  35. Circle(B_{81}, 0.3) → c_{34}
  36. Circle(B_{80}, 0.3) → c_{35}
  37. Circle(B_{79}, 0.3) → c_{36}
  38. Circle(B_{78}, 0.3) → c_{37}
  39. Circle(B_{77}, 0.3) → c_{38}
  40. Circle(B_{76}, 0.3) → c_{39}
  41. Circle(B_{75}, 0.3) → c_{40}
  42. Circle(B_{93}, 0.3) → c_{41}
  43. Circle(B_{92}, 0.3) → c_{42}
  44. Circle(B_{91}, 0.3) → c_{43}
  45. Circle(B_{90}, 0.3) → c_{44}
  46. Circle(B_{89}, 0.3) → c_{45}
  47. Circle(B_{88}, 0.3) → c_{46}
  48. Circle(B_{85}, 0.3) → c_{49}
  49. Circle(B_{87}, 0.3) → c_{47}
  50. Circle(B_{86}, 0.3) → c_{48}
  51. Circle(B_{94}, 0.3) → c_{50}
  52. Circle(B_{95}, 0.3) → c_{51}
  53. Circle(B_{98}, 0.3) → c_{52}
  54. Circle(B_{102}, 0.3) → c_{54}
  55. Circle(B_{101}, 0.3) → c_{55}
  56. Circle(B_{105}, 0.3) → c_{57}
  57. Circle(B_{106}, 0.3) → c_{56}
  58. Circle(B_{109}, 0.3) → c_{64}
  59. Circle(B_{110}, 0.3) → c_{63}
  60. Circle(B_{111}, 0.3) → c_{62}
  61. Circle(B_{112}, 0.3) → c_{61}
  62. Circle(B_{113}, 0.3) → c_{60}
  63. Circle(B_{115}, 0.3) → c_{58}
  64. Circle(B_{114}, 0.3) → c_{59}
  65. Circle(B_{123}, 0.3) → c_{65}
  66. Circle(B_{124}, 0.3) → c_{53}
  67. Circle(B_{127}, 0.3) → c_{66}
  68. Circle(B_{43}, 0.3) → c_{67}
  69. Circle(B_{160}, 0.3) → c_{68}
  70. Circle(B_{162}, 0.3) → c_{69}
  71. Circle(B_{164}, 0.3) → c_{70}
  72. Circle(B_{166}, 0.3) → c_{71}
  73. Circle(B_{168}, 0.3) → c_{72}
  74. Circle(B_{170}, 0.3) → c_{73}
  75. Circle(B_{172}, 0.3) → c_{74}
  76. Circle(B_{174}, 0.3) → c_{75}
  77. Circle(B_{176}, 0.3) → c_{76}
  78. Circle(B_{178}, 0.3) → c_{77}
  79. Circle(B_{180}, 0.3) → c_{78}
  80. Circle(B_{182}, 0.3) → c_{79}
  81. Circle(B_{184}, 0.3) → c_{80}
  82. Circle(B_{186}, 0.3) → c_{81}
  83. Circle(B_{196}, 0.3) → c_{82}
  84. Circle(B_{195}, 0.3) → c_{83}
  85. Circle(B_{194}, 0.3) → c_{84}
  86. Circle(B_{193}, 0.3) → c_{85}
  87. Circle(B_{192}, 0.3) → c_{86}
  88. Circle(B_{191}, 0.3) → c_{87}
  89. Circle(B_{190}, 0.3) → c_{88}
  90. Circle(B_{189}, 0.3) → c_{89}
  91. Circle(B_{188}, 0.3) → c_{90}
  92. Circle(B_{205}, 0.3) → c_{91}
  93. Circle(B_{204}, 0.3) → c_{92}
  94. Circle(B_{203}, 0.3) → c_{93}
  95. Circle(B_{202}, 0.3) → c_{94}
  96. Circle(B_{201}, 0.3) → c_{95}
  97. Circle(B_{200}, 0.3) → c_{96}
  98. Circle(B_{199}, 0.3) → c_{97}
  99. Circle(B_{198}, 0.3) → c_{98}
  100. Circle(B_{197}, 0.3) → c_{99}
  101. Circle(B_{207}, 0.3) → c_{100}
  102. Circle(B_{208}, 0.3) → c_{101}
  103. Circle(B_{209}, 0.3) → c_{102}
  104. Circle(B_{210}, 0.3) → c_{103}
  105. Circle(B_{211}, 0.3) → c_{104}
  106. Circle(B_{212}, 0.3) → c_{105}
  107. Circle(B_{213}, 0.3) → c_{106}
  108. Circle(B_{214}, 0.3) → c_{107}
  109. Circle(B_{215}, 0.3) → c_{108}
  110. Circle(B_{216}, 0.3) → c_{109}
  111. Circle(B_{217}, 0.3) → c_{110}
  112. Circle(B_{218}, 0.3) → c_{111}
  113. Circle(B_{219}, 0.3) → c_{112}
  114. Circle(B_{220}, 0.3) → c_{113}
  115. Circle(B_{221}, 0.3) → c_{114}
  116. Circle(B_{222}, 0.3) → c_{115}
  117. Circle(B_{223}, 0.3) → c_{116}
  118. Circle(B_{224}, 0.3) → c_{117}
  119. Circle(B_{225}, 0.3) → c_{118}
  120. Circle(B_{226}, 0.3) → c_{119}
  121. Circle(B_{227}, 0.3) → c_{120}

AI Drawing Prompt Reference

Create a visualization of the Sieve of Eratosthenes, starting by creating a text table to display the number sequence, then draw circles with a radius of 0.3 around each number, starting from 45 and continuing to 93.
The prompt above was compiled from the original drawing commands and is for reference only.