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Diophantine equation !
Diophantine equation !
Source:
February 4, 2015
number theory
Problem Statement
Determine all triples
(
m
,
n
,
p
)
(m , n , p)
(
m
,
n
,
p
)
satisfying :
n
2
p
=
m
2
+
n
2
+
p
+
1
n^{2p}=m^2+n^2+p+1
n
2
p
=
m
2
+
n
2
+
p
+
1
where
m
m
m
and
n
n
n
are integers and
p
p
p
is a prime number.
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