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Chile Contests
Chile National Olympiad
2005 Chile National Olympiad
4
4
Part of
2005 Chile National Olympiad
Problems
(1)
f(1)+f(2)+...+f(2005) if f(a) is largest integer <= \sqrt[4]{a}
Source: Chile Finals 2005 L2 p4
10/3/2022
Let
f
(
a
)
f(a)
f
(
a
)
be the largest integer less than or equal to the fourth root of "
a
a
a
". Calculate
f
(
1
)
+
f
(
2
)
+
.
.
.
+
f
(
2005
)
.
f(1)+f(2)+...+f(2005).
f
(
1
)
+
f
(
2
)
+
...
+
f
(
2005
)
.
number theory
algebra