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2001 JBMO ShortLists
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2001 JBMO ShortLists
Problems
(1)
abcabc...abc is divisible by 91 - JBMO Shortlist
Source:
10/30/2010
Find all the three-digit numbers
a
b
c
‾
\overline{abc}
ab
c
such that the
6003
6003
6003
-digit number
a
b
c
a
b
c
…
a
b
c
‾
\overline{abcabc\ldots abc}
ab
c
ab
c
…
ab
c
is divisible by
91
91
91
.
modular arithmetic
number theory
number theory proposed