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\(P(x^2+1)\geq 17\) if \(x\geq 240\). (\(P(x^2+1)\geq 17\) si \(x\geq 240\).) (French) Zbl 0591.10006

In this note it is shown that the greatest prime factor of \(x^2+1\) is larger or equal to 17 if \(x\geq 240\).

MSC:

11D75 Diophantine inequalities
11J25 Diophantine inequalities
11Y50 Computer solution of Diophantine equations
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