olymmath

ISL 2010 N3

  • Answer

Find the smallest number nn such that there exist polynomials f1,f2,…,fnf_{1}, f_{2}, \ldots, f_{n} with rational coefficients satisfying x2+7=f1(x)2+f2(x)2+⋯+fn(x)2.x^{2}+7=f_{1}(x)^{2}+f_{2}(x)^{2}+\cdots+f_{n}(x)^{2} . (Poland)

Dataset text NuminaMath olympiads. Quoted with source.

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