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1991 IMO Shortlist
17
17
Part of
1991 IMO Shortlist
Problems
(1)
3^x + 4^y = 5^z
Source: IMO ShortList 1991, Problem 17 (HKG 4)
8/15/2008
Find all positive integer solutions
x
,
y
,
z
x, y, z
x
,
y
,
z
of the equation 3^x \plus{} 4^y \equal{} 5^z.
modular arithmetic
algebra
number theory
equation
IMO Shortlist