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8.7
p^3-q^5 = (p+q)^2 diophantine - All-Russian MO 1997 Regional (R4) 8.7
p^3-q^5 = (p+q)^2 diophantine - All-Russian MO 1997 Regional (R4) 8.7
Source:
September 23, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Find all pairs of prime numbers
p
p
p
and
q
q
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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