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2008 Serbia National Math Olympiad
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2008 Serbia National Math Olympiad
Problems
(1)
exponential diofantine with 2008
Source: Serbia MO 2008
4/14/2008
Find all nonegative integers
x
,
y
,
z
x,y,z
x
,
y
,
z
such that 12^x\plus{}y^4\equal{}2008^z
quadratics
number theory proposed
number theory