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Switzerland Contests
Switzerland - Final Round
2011 Switzerland - Final Round
7
7
Part of
2011 Switzerland - Final Round
Problems
(1)
Equation in Z - Switzerland 2011
Source:
3/22/2011
For a given rational number
r
r
r
, find all integers
z
z
z
such that 2^z + 2 = r^2\mbox{.}(Swiss Mathematical Olympiad 2011, Final round, problem 7)
modular arithmetic
number theory proposed
number theory