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1997 Greece Junior Math Olympiad
2
Number Theory
Number Theory
Source: Archimedes Junior 1997
March 17, 2020
number theory
Problem Statement
Determine all natural numbers n for which the number
A
=
n
4
+
4
n
3
+
5
n
2
+
6
n
A = n^4 + 4n^3 +5n^2 + 6n
A
=
n
4
+
4
n
3
+
5
n
2
+
6
n
is a perfect square of a natural number.
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