1987 IMO Problems/Problem 6

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Problem

Let $n$ be an integer greater than or equal to 2. Prove that if $k^2 + k + n$ is prime for all integers $k$ such that $0 \leq k \leq \sqrt{n/3}$ , then $k^2 + k + n$ is prime for all integers $k$ such that $0 \leq k \leq n - 2$ .

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1987 IMO (Problems)
Preceded by Problem 5	1 • 2 • 3 • 4 • 5 • 6	Followed by Last question

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1987 IMO Problems/Problem 6

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Problem

Solution