Community effort smashes integer multiplication record: exponent down to 0.00269, a 66% improvement

cephaloform · x · 2026-10-22

@0xdoug announced a new community checkpoint for integer multiplication: κ = 0.00268647 ≈ 2⁻⁸·⁵⁴⁰, i.e. T(n) = O(n(log n)^0.99731), a 66% improvement over the previous merged result (κ = 0.00161) and a cumulative 2^173-fold improvement over the earlier OpenAI-derived bound. The result was reviewed and merged to main, continuing the community push toward the theoretical n·log n lower bound.

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