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National and Regional Contests
Israel Contests
Israel Team Selection Test
2021 Israel TST
2021 Israel TST
Part of
Israel Team Selection Test
Subcontests
(4)
4
1
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Number of solutions to 3^x-2^y.
Let
r
r
r
be a positive integer and let
a
r
a_r
a
r
be the number of solutions to the equation
3
x
−
2
y
=
r
3^x-2^y=r
3
x
−
2
y
=
r
,such that
0
≤
x
,
y
≤
5781
0\leq x,y\leq 5781
0
≤
x
,
y
≤
5781
are integers. What is the maximal value of
a
r
a_r
a
r
?
1
5
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2
5
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3
5
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