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MathNet 2015-part-03 — 191 problems (EN–VI) Question 22

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 22

Let $n$ be a strictly positive integer such that $n(n+2015)$ is the square of an integer.
a) Prove that $n$ is not a prime number.
b) Give an example of such an integer $n$.