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All-Russian Olympiad Regional Round
2001 All-Russian Olympiad Regional Round
11.1
11.1
Part of
2001 All-Russian Olympiad Regional Round
Problems
(1)
p + q = (p -q)^3 - All-Russian MO 2001 Regional (R4) 11.1
Source:
9/26/2024
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
.
number theory
diophantine
Diophantine equation