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1991 ITAMO
2
a^3+3a^2+a is never a perfect square for positive integer a
a^3+3a^2+a is never a perfect square for positive integer a
Source: 1991 ITAMO p2
January 31, 2020
Perfect Square
number theory
Problem Statement
Prove that no number of the form
a
3
+
3
a
2
+
a
a^3+3a^2+a
a
3
+
3
a
2
+
a
, for a positive integer
a
a
a
, is a perfect square.
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