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IMO Shortlist 2010 problem N2

Kvaliteta:

  Avg: 2.0

Težina:

  Avg: 6.0

Dodao/la: arhiva
June 23, 2013

2010 shortlist tb

Find all pairs of nonnegative integers for which

Proposed by Angelo Di Pasquale, Australia

%V0 Find all pairs $(m,n)$ of nonnegative integers for which $$m^2 + 2 \cdot 3^n = m\left(2^{n+1} - 1\right).$$ Proposed by Angelo Di Pasquale, Australia