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IMO Shortlist 2012 problem N8

Kvaliteta:

  Avg: 0.0

Težina:

  Avg: 9.0

Dodao/la: arhiva
Nov. 3, 2013

2012 shortlist tb

Prove that for every prime and every integer , there exist two integers and such that divides .

%V0 Prove that for every prime $p>100$ and every integer $r$, there exist two integers $a$ and $b$ such that $p$ divides $a^2+b^5-r$.