OIM 2008, ziua 1, pb 3
Posted: Sat Jul 19, 2008 11:59 pm
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
Kestutis Cesnavicius, Lithuania