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2013 Online Math Open Problems
15
2013-2014 Fall OMO #15
2013-2014 Fall OMO #15
Source:
October 30, 2013
Online Math Open
Problem Statement
Find the positive integer
n
n
n
such that
f
(
f
(
⋯
f
⏟
2013
f
’s
(
n
)
⋯
)
)
=
201
4
2
+
1
\underbrace{f(f(\cdots f}_{2013 \ f\text{'s}}(n)\cdots ))=2014^2+1
2013
f
’s
f
(
f
(
⋯
f
(
n
)
⋯
))
=
201
4
2
+
1
where
f
(
n
)
f(n)
f
(
n
)
denotes the
n
n
n
th positive integer which is not a perfect square.Proposed by David Stoner
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