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China Western Mathematical Olympiad
2019 China Western Mathematical Olympiad
1
1
Part of
2019 China Western Mathematical Olympiad
Problems
(1)
3^n+n^2+2019 is a perfect square
Source: 2019 China Western Mathematical Olympiad P1
8/13/2019
Determine all the possible positive integer
n
,
n,
n
,
such that
3
n
+
n
2
+
2019
3^n+n^2+2019
3
n
+
n
2
+
2019
is a perfect square.
number theory
Perfect Square