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Putnam
1966 Putnam
A4
Putnam 1966 A4
Putnam 1966 A4
Source:
April 6, 2022
college contests
Problem Statement
Prove that after deleting the perfect squares from the list of positive integers the number we find in the
n
t
h
n^{th}
n
t
h
position is equal to
n
+
{
n
}
,
n+\{\sqrt{n}\},
n
+
{
n
}
,
where
{
n
}
\{\sqrt{n}\}
{
n
}
denotes the integer closest to
n
.
\sqrt{n}.
n
.
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