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MathNet 2008-part-01 — 165 problems (EN–VI) Question 13

Math Olympiad Vault · MathNet 2008-part-01 — 165 problems (EN–VI)

Question 13

Find all primes $p, q$ such that
$$
p^2 + q = 37q^2 + p.
$$
CLARIFICATION: $p \gt 1$; $q \gt 1$.