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Visualizing Prime Numbers

Visualizing Prime Numbers
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2018-10-04 17:08
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This example demonstrates the distribution of prime numbers through dynamic tables and graphical representations. It involves core mathematical concepts such as prime number definitions, sequences, and coordinate geometry. The construction utilizes GeoGebra commands like TableText for text tables and Circle for marking prime number positions. Suitable for high school mathematics education to visually explore the properties and patterns of prime numbers.

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}