Problem #4
Define a function
f
mapping positive integers to positive integers by
f
(1) = 1, and
for
n
≥2.
Find the smallest integer
n
such that
f
(
n
) = 1,000,000.
Find the smallest integer
n
such that
f
(
n
) = 2,000,000.
Source: An adaptation of a problem proposed for the International Mathematical Olympiad.
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