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2009 Kyrgyzstan National Olympiad
6
Divisibility of a,b(KgNM2009)
Divisibility of a,b(KgNM2009)
Source:
April 27, 2011
number theory unsolved
number theory
Problem Statement
Find all natural
a
,
b
a,b
a
,
b
such that
a
(
a
+
b
)
+
1
∣
(
a
+
b
)
(
b
+
1
)
−
1
\left. {a(a + b) + 1} \right|(a + b)(b + 1) - 1
a
(
a
+
b
)
+
1
∣
(
a
+
b
)
(
b
+
1
)
−
1
.
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