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MathNet 2022-part-04 — 197 problems (EN–VI) Question 20

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 20

Find all pairs of primes $(p, q)$ such that
$$
p\left(p^{2}-p-1\right)=q(2 q+3)
$$