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1989 All Soviet Union Mathematical Olympiad
503
ASU 503 All Soviet Union MO 1989 smallest n, exists m, [10^n/m]=1989
ASU 503 All Soviet Union MO 1989 smallest n, exists m, [10^n/m]=1989
Source:
August 13, 2019
floor function
number theory
minimum
Problem Statement
Find the smallest positive integer
n
n
n
for which we can find an integer
m
m
m
such that
[
1
0
n
m
]
=
1989
\left[\frac{10^n}{m}\right] = 1989
[
m
1
0
n
]
=
1989
.
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