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MathNet 2019-part-06 — 184 problems (EN–VI) Question 165

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 165

Do there exist natural numbers $m, n$ such that
$$
n^{2}+2018 m n+2019 m+n-2019 m^{2}
$$
is a prime number?