MathDB
Problems
Contests
National and Regional Contests
Italy Contests
ITAMO
2006 ITAMO
2
2
Part of
2006 ITAMO
Problems
(1)
Itamo 2006/2
Source:
5/8/2006
Solve
p
n
+
144
=
m
2
p^n+144=m^2
p
n
+
144
=
m
2
where
m
,
n
ā
N
m,n\in \mathbb{N}
m
,
n
ā
N
and
p
p
p
is a prime number.
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number theory proposed
number theory