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Dutch BxMO/EGMO TST
2022 Dutch BxMO TST
3
p(p^2 -p - 1) = q(2q + 3), prime only diophantine
p(p^2 -p - 1) = q(2q + 3), prime only diophantine
Source: 2022 Dutch BxMO TST p3
December 3, 2022
Diophantine equation
diophantine
number theory
Problem Statement
Find all pairs
(
p
,
q
)
(p, q)
(
p
,
q
)
of prime numbers such that
p
(
p
2
−
p
−
1
)
=
q
(
2
q
+
3
)
.
p(p^2 -p - 1) = q(2q + 3).
p
(
p
2
−
p
−
1
)
=
q
(
2
q
+
3
)
.
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