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A5
2008 PUMaC Number Theory A5
2008 PUMaC Number Theory A5
Source:
October 4, 2019
number theory
Problem Statement
If
f
(
x
)
=
x
x
x
x
f(x) = x^{x^{x^x}}
f
(
x
)
=
x
x
x
x
, find the last two digits of
f
(
17
)
+
f
(
18
)
+
f
(
19
)
+
f
(
20
)
f(17) + f(18) + f(19) + f(20)
f
(
17
)
+
f
(
18
)
+
f
(
19
)
+
f
(
20
)
.
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