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National and Regional Contests
China Contests
China Team Selection Test
1988 China Team Selection Test
1
f(x) = 3x + 2 iterated 100 times
f(x) = 3x + 2 iterated 100 times
Source: China TST 1988, problem 5
June 27, 2005
number theory unsolved
number theory
Problem Statement
Let
f
(
x
)
=
3
x
+
2.
f(x) = 3x + 2.
f
(
x
)
=
3
x
+
2.
Prove that there exists
m
ā
N
m \in \mathbb{N}
m
ā
N
such that
f
100
(
m
)
f^{100}(m)
f
100
(
m
)
is divisible by
1988
1988
1988
.
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