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2011 Princeton University Math Competition
A1
A1
Part of
2011 Princeton University Math Competition
Problems
(1)
2011 PUMaC Individual Finals A1
Source:
9/24/2019
Find, with proof, all triples of positive integers
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
satisfying the equation
3
x
ā
5
y
=
4
z
2
3^x - 5^y = 4z^2
3
x
ā
5
y
=
4
z
2
.
number theory