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2023 SSMO Team Round Problems/Problem 14

Revision as of 21:25, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Find the sum of all perfect squares of the form <math>2p^3 - 5p^2q + q^2</math> where <math>p</math> and <math>q</math> are positive integers such <math>p</math> i...")
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Problem

Find the sum of all perfect squares of the form $2p^3 - 5p^2q + q^2$ where $p$ and $q$ are positive integers such $p$ is prime and $p \nmid q$.

Solution

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