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erdos_1097

Specification

The main conjecture: for any finite set of integers $A$ with $|A| = n$, the number of distinct common differences in three-term arithmetic progressions is $O(n^{3/2})$.

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Lean 4 Statement
theorem erdos_1097 : answer(sorry) ↔ ∃ C > (0 : ℝ), ∀ (A : Finset ℤ),
    (CommonDifferencesThreeTermAP A).ncard ≤ C * (A.card : ℝ) ^ (3 / 2 : ℝ)
ID: ErdosProblems__1097__erdos_1097
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