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15
2016 LMT Individual #15
2016 LMT Individual #15
Source:
April 10, 2016
Problem Statement
For nonnegative integers
n
n
n
, let
f
(
n
)
f(n)
f
(
n
)
be the number of digits of
n
n
n
that are at least
5
5
5
. Let
g
(
n
)
=
3
f
(
n
)
g(n)=3^{f(n)}
g
(
n
)
=
3
f
(
n
)
. Compute
∑
i
=
1
1000
g
(
i
)
.
\sum_{i=1}^{1000} g(i).
i
=
1
∑
1000
g
(
i
)
.
Proposed by Nathan Ramesh
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