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Classroom Notes

Why 3 and 5 are always factors of primitive Pythagorean triples

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Pages 102-105 | Received 24 Mar 2010, Published online: 21 Oct 2010

References

  • Horadam , AF and Shannon , AG . 1993 . “ Pell-type number generators of Pythagorean triples ” . In Applications of Fibonacci Numbers , Edited by: Bergum , GE , Philippou , AN and Horadam , AF . Vol. 5 , 331 – 343 . Kluwer : Dordrecht .
  • Shannon , AG . 1992 . Pyramidal Diophantine equations . Int. J. Math. Educ. Sci. Technol. , 23 ( 4 ) : 631 – 632 .
  • Shannon , AG and Horadam , AF . 1994 . Arrowhead curves in a tree of Pythagorean triples . Int. J. Math. Educ. Sci. Technol. , 25 ( 2 ) : 255 – 261 .
  • Leyendekkers , JV and Shannon , AG . 2002 . A note on twin primes and the modular ring Z4 . Int. J. Math. Educ. Sci. Technol. , 33 ( 2 ) : 303 – 306 .
  • J.V. Leyendekkers, A.G. Shannon, and J.M. Rybak. Pattern Recognition: Modular Rings and Integer Structure, Monograph No. 9, Raffles KvB, North Sydney.
  • Leyendekkers , JV , Rybak , JM and Shannon , AG . 1997 . Analysis of Diophantine properties using modular rings with four and six classes . Notes Number Theory Discrete Math. , 3 ( 2 ) : 61 – 74 .

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