Is the middle term in a Pythagorean triple ever prime?
- Here's one:
write the three numbers in a Pythagorean triple in ascending order,
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...