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Baltic Way
2016 Baltic Way
1
Classic diophantine equation
Classic diophantine equation
Source: Baltic Way 2016, Problem 1
November 5, 2016
number theory
Diophantine equation
Problem Statement
Find all pairs of primes
(
p
,
q
)
(p, q)
(
p
,
q
)
such that
p
3
ā
q
5
=
(
p
+
q
)
2
.
p^3 - q^5 = (p + q)^2.
p
3
ā
q
5
=
(
p
+
q
)
2
.
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