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NZMOC Camp Selection Problems
2014 NZMOC Camp Selection Problems
3
3
Part of
2014 NZMOC Camp Selection Problems
Problems
(1)
(x + y)(x^2 + 9y) perfect cube of prime
Source: New Zealand NZMOC Camp Selection Problems 2014 p3
9/19/2021
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of positive integers such that
(
x
+
y
)
(
x
2
+
9
y
)
(x + y)(x^2 + 9y)
(
x
+
y
)
(
x
2
+
9
y
)
is the cube of a prime number.
perfect cube
number theory