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MathNet 2019-part-07 — 184 problems (EN–VI) Question 7

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 7

Determine all natural numbers $n \geq 2$ that have a representation of the form
$$
n = k^{2} + d^{2}
$$
where $k$ is the smallest divisor of $n$ greater than 1 and $d$ is an arbitrary divisor of $n$.