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Spain Mathematical Olympiad
2012 Spain Mathematical Olympiad
1
Can 3n^2+2n+2 be a square?
Can 3n^2+2n+2 be a square?
Source: Spanish MO 2012 Q1
June 7, 2012
number theory proposed
number theory
Problem Statement
Determine if the number
λ
n
=
3
n
2
+
2
n
+
2
\lambda_n=\sqrt{3n^2+2n+2}
λ
n
=
3
n
2
+
2
n
+
2
is irrational for all non-negative integers
n
n
n
.
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