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Prime equation
Prime equation
Source: JBMO 2011 Shortlist
May 15, 2016
number theory
Problem Statement
N4
\boxed{\text{N4}}
N4
Find all primes
p
,
q
p,q
p
,
q
such that
2
p
3
−
q
2
=
2
(
p
+
q
)
2
2p^3-q^2=2(p+q)^2
2
p
3
−
q
2
=
2
(
p
+
q
)
2
.
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