www.mikescher.com/www/statics/euler/Euler_Problem-039_explanation.md

We have the two formulas a^2 + b^2 = c^2 and a + b + c = p. We can insert the second in the first and get b = p*(p-2a) / 2*(p-a) and c = p-(b+a).
The we just go through all possible values for a and p and test if b is an integer. Then we search for the value of p with the most possible values of a.