IMO Shortlist 2011 problem N6
Dodao/la: arhiva23. lipnja 2013.
be two polynomials with integer coefficients, such that no nonconstant polynomial with rational coefficients divides both
Suppose that for every positive integer
are positive, and
is a constant polynomial.
Proposed by Oleksiy Klurman, Ukraine
Izvor: Međunarodna matematička olimpijada, shortlist 2011