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2001 All-Russian Olympiad Regional Round
11.1
p + q = (p -q)^3 - All-Russian MO 2001 Regional (R4) 11.1
p + q = (p -q)^3 - All-Russian MO 2001 Regional (R4) 11.1
Source:
September 26, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Find all prime numbers
p
p
p
and
q
q
q
such that
p
+
q
=
(
p
ā
q
)
3
.
p + q = (p -q)^3.
p
+
q
=
(
p
ā
q
)
3
.
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