Loading ...
Sorry, an error occurred while loading the content.
 

Is the middle term in a Pythagorean triple ever prime?

Expand Messages
  • Neil Fernandez
    Here s one: write the three numbers in a Pythagorean triple in ascending order, a,b,c, e.g. 3,4,5 or 20,21,29 Is the middle number ever prime? I ve checked for
    Message 1 of 1 , May 4, 2002
      Here's one:

      write the three numbers in a Pythagorean triple in ascending order,
      a,b,c,

      e.g. 3,4,5
      or 20,21,29

      Is the middle number ever prime?

      I've checked for all triples where c <= 1000 (there's a list of all 881
      of them at <http://www.math.utah.edu/~alfeld/teaching/ptt.htm>) and in
      every case b is composite.

      One only need consider the primitive triples...

      Neil
      --
      Neil Fernandez
    Your message has been successfully submitted and would be delivered to recipients shortly.