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Prime Number Family Members

Prime Number Family Members
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2019-05-26 07:17
FunctionSequenceGeometric Construction
This example demonstrates the concept of prime numbers and their relationships through the generation and display of prime numbers. Core mathematical concepts include prime numbers, factorization, and prime number classification. Using GeoGebra commands such as Length, IsPrime, and Textfield, the example dynamically shows the generation process of prime numbers and their relationships. Suitable for students from upper elementary to middle school learning about prime numbers.

GeoGebra Commands & Parameters

  1. Length(primeList) → lastP
  2. IsPrime(testNum) → prime1
  3. IsPrime(testNum + 2) → prime2
  4. IsPrime(testNum + 4) → prime4
  5. IsPrime(testNum + 6) → prime6
  6. Textfield(testNum) → InputBox1
  7. If(prime1 ≟ true, "is Prime.", "is NOT prime.") → prime
  8. If(prime1 ≟ true ∧ prime2 ≟ true, "Twin primes: " + testNum + " & " + (testNum + 2) + ".") → twin
  9. If(prime1 ≟ true ∧ prime6 ≟ true, "Sexy primes: " + testNum + " & " + (testNum + 6) + ".", "") → sexy
  10. If(prime1 ≟ true ∧ prime4 ≟ true, "Cousin primes: " + testNum + " & " + (testNum + 4) + ".", "") → cousin
  11. Length(primeList) → len
  12. If(prime1 ≟ true, Append[primeList, testNum]) → test
  13. Factors(testNum) → factorList
  14. If(prime1 ≟ true ∧ prime4 ≟ true ∧ prime6 ≟ true, "Cousin Sexy Triplet Primes: " + testNum + ", " + (testNum + 4) + " & " + (testNum + 6) + ".", "") → triplet2
  15. If(prime1 ≟ true ∧ prime2 ≟ true ∧ prime6 ≟ true, "Twin Sexy Triplet Primes: " + testNum + ", " + (testNum + 2) + " & " + (testNum + 6) + ".", "") → triplet1

AI Drawing Prompt Reference

Draw a series of prime numbers and show their relationships, including twin primes, cousin primes, sexy primes, and prime triplets. Start with a test number, check if it is a prime, and if so, add it to the prime list. Then check if the adjacent numbers are also primes to determine their relationships. Finally, display the corresponding text labels based on the relationships between the primes.
The prompt above was compiled from the original drawing commands and is for reference only.