MathDB
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Contests
National and Regional Contests
India Contests
India IOQM
2020-21 IOQM India
30
IOQM 2021 P30
IOQM 2021 P30
Source:
January 17, 2021
Problem Statement
Find the number of pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of natural nunbers such that
b
b
b
is a 3-digit number,
a
+
1
a+1
a
+
1
divides
b
ā
1
b-1
b
ā
1
and
b
b
b
divides
a
2
+
a
+
2
a^{2} + a + 2
a
2
+
a
+
2
.
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