2014 OIM Problems/Problem 6
Problem
Given a set and a function
, we say that for each
,
, and for each
,
. We say that
is a fixed point of
if
. For each real number
, we define
as the number of smaller positive primes less or equal to
. Given a positive integer
, we say that
it's "catracha" if
for all
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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