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2015 Irish Math Olympiad
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3
Part of
2015 Irish Math Olympiad
Problems
(1)
find n so that (837 + n) and (837 − n) are cubes of positive integers
Source: Irmo 2015 p1 q3
9/15/2018
Find all positive integers
n
n
n
for which both
837
+
n
837 + n
837
+
n
and
837
ā
n
837 - n
837
ā
n
are cubes of positive integers.
number theory
perfect cube