On primitive Pythagorean triples of special forms

Andrew Schmelzer, Sunil Chetty

We explore primitive Pythagorean triples of special forms $(a,b,b+g)$ and $(a,a+f,c)$, with $g,f\in {\mathbb{Z}}^{+}$. For each $g$ and $f$, we provide a method to generate infinitely m…