A Note on Je{ś}manowicz' Conjecture for Non-primitive Pythagorean Triples

Van Thien Nguyen, Viet Kh. Nguyen, Pham Hung Quy

Let $(a,b,c)$ be a primitive Pythagorean triple parameterized as $a=u^2-v^2,b=2uv,c=u^2+v^2$,\ where $u>v>0$ are co-prime and not of the same parity. In 1956, L. Je{ś}manowic…