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91
A 91
A 91
Source:
May 25, 2007
Divisibility Theory
Problem Statement
Determine all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers such that
a
b
2
+
b
+
7
ab^2+b+7
a
b
2
+
b
+
7
divides
a
2
b
+
a
+
b
a^2 b+a+b
a
2
b
+
a
+
b
.
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