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Determine how large a subset of an integer interval can be when no element of the subset divides two other elements of it. Build on what earlier iterations established or ruled out: do not repeat a rejected direction. Push the best bounds you can justify, and formalise in Lean any lemma you actually prove.
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Explore direction: Lower-bound construction: augment (N/3,N] with small elements
Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.