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2000 Junior Balkan Team Selection Tests - Moldova
8
Number Theory
Number Theory
Source: Moldova JTST 2000
March 8, 2020
number theory
Problem Statement
Show that the numbers
1
8
n
18^n
1
8
n
and
2
n
+
1
8
n
2^n + 18^n
2
n
+
1
8
n
are having the same number of digits (as written in base 10), for every natural number
n
n
n
.
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