OIM 2008, ziua 1, pb 3

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Claudiu Mindrila
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OIM 2008, ziua 1, pb 3

Post by Claudiu Mindrila »

Demonstrati ca exista o infinitate de numere naturale \( n \) astfel incat numarul \( n^2+1 \) are un factor prim strict mai mare decat \( 2n+ \sqrt{2n} \).

Kestutis Cesnavicius, Lithuania
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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