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PEN A Problems
89
A 89
A 89
Source:
May 25, 2007
Divisibility Theory
Problem Statement
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
.
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