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MathNet 2022-part-02 — 197 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)

Question 19

Do there exist integers $x$ and $y$ such that:

a. $x^2 + (x + 1)^2 + (x + 2)^2 = y^2$?

b. $x^2 + (x + 1)^2 + (x + 2)^2 + (x + 3)^2 = y^2$?