MathDB
Problems
Contests
International Contests
JBMO ShortLists
2001 JBMO ShortLists
3
abcabc...abc is divisible by 91 - JBMO Shortlist
abcabc...abc is divisible by 91 - JBMO Shortlist
Source:
October 30, 2010
modular arithmetic
number theory
number theory proposed
Problem Statement
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
.
Back to Problems
View on AoPS