Problem:
Pythagorean Triangles
1. If p>3, show that p divides the sum of its quadratic residues that are also least residues.
2. Here is a quadrilateral, not a parallelogram, with integer sides and integer area:
(a) What is its area?
(b) Such quadrilaterals are not common; can you find another?
(c) Could you find 1,000,000 more?