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MathNet 2015-part-01 — 191 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 113

Find all positive integers $n$ such that
$$
n = q(q^2 - q - 1) = r(2r + 3)
$$
for some primes $q$ and $r$.