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2023 JBMO Shortlist
N3
N3
Part of
2023 JBMO Shortlist
Problems
(1)
JBMO Shortlist 2023 N3
Source: JBMO Shortlist 2023, N3
6/28/2024
Let
A
A
A
be a subset of
{
2
,
3
,
…
,
28
}
\{2,3, \ldots, 28 \}
{
2
,
3
,
…
,
28
}
such that if
a
∈
A
a \in A
a
∈
A
, then the residue obtained when we divide
a
2
a^2
a
2
by
29
29
29
also belongs to
A
A
A
.Find the minimum possible value of
∣
A
∣
|A|
∣
A
∣
.
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