« Vrati se
Define the sequence a_1, a_2, a_3, ... as follows. a_1 and a_2 are coprime positive integers and a_{n + 2} = a_{n + 1}a_n + 1. Show that for every m > 1 there is an n > m such that a_m^m divides a_n^n. Is it true that a_1 must divide a_n^n for some n > 1?

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2318IMO Shortlist 2009 problem N61
2316IMO Shortlist 2009 problem N42
2286IMO Shortlist 2008 problem N37
2229IMO Shortlist 2006 problem N312
1898IMO Shortlist 1994 problem N71
1895IMO Shortlist 1994 problem N40