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2017 JBMO Shortlist
NT3
NT3
Part of
2017 JBMO Shortlist
Problems
(1)
2^x + 3^y a perfect square, find positive integers x,y
Source: JBMO Shortlist 2017 NT3
7/25/2018
Find all pairs of positive integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
2
x
+
3
y
2^x + 3^y
2
x
+
3
y
is a perfect square.
number theory
Perfect Square
positive integers