Finding sum of quadratic residues


Assignment:

Q1. If p>3, show that p divides the sum of its quadratic residues that are also least residues.

Q2. Here is a quadrilateral, not a parallelogram, with integer sides and integer area:

2233_Triangles.JPG

(a) What is its area?
(b) Such quadrilaterals are not common; can you find another?
(c) Could you find 1,000,000 more?

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Mathematics: Finding sum of quadratic residues
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