HMMT 2018 A3

Algebra and Number Theory
Answer

There are two prime numbers $p$ so that $5 p$ can be expressed in the form $\left\lfloor\frac{n^{2}}{5}\right\rfloor$ for some positive integer $n$ . What is the sum of these two prime numbers?

Dataset text NuminaMath olympiads. Quoted with source.

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