« Vrati se
Let a, b, c, d, e, f be positive integers and let S = a+b+c+d+e+f.
Suppose that the number S divides abc+def and ab+bc+ca-de-ef-df. Prove that S is composite.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2260IMO Shortlist 2007 problem N44
2202IMO Shortlist 2005 problem N614
2201IMO Shortlist 2005 problem N53
2200IMO Shortlist 2005 problem N413
1872IMO Shortlist 1993 problem N20
1871IMO Shortlist 1993 problem N16