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1983 IMO Longlists
55
Find maximum of M(a) for a≤1983
Find maximum of M(a) for a≤1983
Source:
October 7, 2010
number theory unsolved
number theory
Problem Statement
For every
a
∈
N
a \in \mathbb N
a
∈
N
denote by
M
(
a
)
M(a)
M
(
a
)
the number of elements of the set
{
b
∈
N
∣
a
+
b
is a divisor of
a
b
}
.
\{ b \in \mathbb N | a + b \text{ is a divisor of } ab \}.
{
b
∈
N
∣
a
+
b
is a divisor of
ab
}
.
Find
max
a
≤
1983
M
(
a
)
.
\max_{a\leq 1983} M(a).
max
a
≤
1983
M
(
a
)
.
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