IMO Shortlist 2006 problem N7
Dodao/la:
arhiva2. travnja 2012. For all positive integers
, show that there exists a positive integer
such that
divides
.
%V0
For all positive integers $n$, show that there exists a positive integer $m$ such that $n$ divides $2^{m} + m$.
Izvor: Međunarodna matematička olimpijada, shortlist 2006