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2021-IMOC
N6
Cool exponential diaphontine has no solutions
Cool exponential diaphontine has no solutions
Source: IMOC 2021 N6
August 11, 2021
number theory
Diaphontine
Problem Statement
Show that there do not exist positive integers
x
,
y
,
z
x,y,z
x
,
y
,
z
such that
x
x
+
y
y
=
9
z
x^x + y^y = 9^z
x
x
+
y
y
=
9
z
usjl
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