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2019 New Zealand MO
5
n^4 - n^3 + 3n^2 + 5 is a perfect square
n^4 - n^3 + 3n^2 + 5 is a perfect square
Source: New Zealand MO 2019 Round 1 p5
September 20, 2021
number theory
Perfect Square
Problem Statement
Find all positive integers
n
n
n
such that
n
4
ā
n
3
+
3
n
2
+
5
n^4 - n^3 + 3n^2 + 5
n
4
ā
n
3
+
3
n
2
+
5
is a perfect square.
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