This is my guess , i hope that's true .

Let's say a triangle is a Heron triangle if the lengths of its three sides as well as its area

are integers.

I guess : If are primes such that , then all the non-isosceles Heron triangles with as the length of one of the sides are right-angled . Therefore , we can only find out one or two possible Heron triangle(s) for it .

For example , let we have

Then the only Heron triangles are ?