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P71. Saudi Arabia IMO TST

Source:

July 21, 2018
SAUDivisibility

Problem Statement

Let aa be a positive integer. Find all prime numbers p p with the following property: there exist exactly p p ordered pairs of integers (x,y) (x, y), with 0 \leq  x, y \leq p - 1 , such that p p divides y2−x3−a2x y^2 - x^3 - a^2x .
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