geometry-topology / Distinct Distances

Erdős Problem #959

superlinear lower bound M(n) ≥ n^{1 + 1/(50000 log log n)}, improving Ω(n log n); the exact order remains open

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geometry-topologyJul 13, 2026Significance 10/100Registry: lean verified

Erdős Problem #959

Prior state unknown→proved

superlinear lower bound M(n) ≥ n^{1 + 1/(50000 log log n)}, improving Ω(n log n); the exact order remains open

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superlinear lower bound M(n) ≥ n^{1 + 1/(50000 log log n)}, improving Ω(n log n); the exact order remains open

superlinear lower bound M(n) ≥ n^{1 + 1/(50000 log log n)}, improving Ω(n log n); the exact order remains open

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Erdős Problem #959 — Mathematical Frontier Network