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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
89
89
Part of
PEN A Problems
Problems
(1)
A 89
Source:
5/25/2007
Determine all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of integers for which
a
2
+
b
2
+
3
a^{2}+b^{2}+3
a
2
+
b
2
+
3
is divisible by
a
b
ab
ab
.
Divisibility Theory