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1997 Greece Junior Math Olympiad
2
2
Part of
1997 Greece Junior Math Olympiad
Problems
(1)
Number Theory
Source: Archimedes Junior 1997
3/17/2020
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.
number theory