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MathNet 2023-part-05 — 191 problems (EN–VI) Question 11

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 11

Find all four-digit numbers $\overline{abcd}$, so that $\overline{ab}$, $\overline{cb}$ and $d$ are prime numbers, and $\overline{ab}^2 + \overline{cb}^2 + d^2 = 2022$.