IMO Shortlist 1989 problem 30
Dodao/la:
arhiva2. travnja 2012. Prove that for each positive integer
there exist
consecutive positive integers none of which is an integral power of a prime number.
%V0
Prove that for each positive integer $n$ there exist $n$ consecutive positive integers none of which is an integral power of a prime number.
Izvor: Međunarodna matematička olimpijada, shortlist 1989
Školjka 
