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Putnam
1993 Putnam
B1
Putnam 1993 B1
Putnam 1993 B1
Source: 1993 Putnam
October 26, 2020
Putnam
Problem Statement
What is the smallest integer
n
>
0
n > 0
n
>
0
such that for any integer m in the range
1
,
2
,
3
,
.
.
.
,
1992
1, 2, 3, ... , 1992
1
,
2
,
3
,
...
,
1992
we can always find an integral multiple of
1
n
\frac{1}{n}
n
1
in the open interval
(
m
1993
,
m
+
1
1994
)
(\frac{m}{1993}, \frac{m+1}{1994})
(
1993
m
,
1994
m
+
1
)
?
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