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National and Regional Contests
PEN Problems
PEN A Problems
18
18
Part of
PEN A Problems
Problems
(1)
A 18
Source:
5/25/2007
Let
m
m
m
and
n
n
n
be natural numbers and let
m
n
+
1
mn+1
mn
+
1
be divisible by
24
24
24
. Show that
m
+
n
m+n
m
+
n
is divisible by
24
24
24
.
quadratics
algebra
difference of squares
special factorizations
Divisibility Theory