MathDB
JBMO Shortlist 2023 N3

Source: JBMO Shortlist 2023, N3

June 28, 2024
JBMOJBMO Shortlistnumber theoryAZE JBMO TST

Problem Statement

Let AA be a subset of {2,3,…,28}\{2,3, \ldots, 28 \} such that if a∈Aa \in A, then the residue obtained when we divide a2a^2 by 2929 also belongs to AA.
Find the minimum possible value of ∣A∣|A|.
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