« Vrati se
Let k and m, with k > m, be positive integers such that the number km(k^2 - m^2) is divisible by k^3 - m^3. Prove that (k - m)^3 > 3km.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1196IMO Shortlist 1966 problem 131
1209IMO Shortlist 1966 problem 261
1765IMO Shortlist 1989 problem 270
2382skakavac 2012 drugo kolo ss1 21
2425MEMO 2009 pojedinačno problem 45
2521skakavac 2012 trece kolo ss3 43