IMO Shortlist 1999 problem N3


Kvaliteta:
  Avg: 0.0
Težina:
  Avg: 7.0
Dodao/la: arhiva
April 2, 2012
LaTeX PDF
Prove that there exists two strictly increasing sequences (a_{n}) and (b_{n}) such that a_{n}(a_{n}+1) divides b^{2}_{n}+1 for every natural n.
Source: Međunarodna matematička olimpijada, shortlist 1999