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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

Updated


Claim. The statement of Problem 94 is true. On 15 January 2026 the forum account Dingding, signing for the SpringSense Innovation Institute, posted that besides its formalization of Lefmann and Thiele's argument, made with ChatGPT 5.2 Thinking and Codex, it had used Seed-Prover to generate the sketches and fill in the detailed proofs; the file names no informal author, so it is an independent proof. Its proof bounds the sum S(P)S(P) of the squared distance multiplicities of a finite planar set PP in convex position with no three points collinear by 34∣P∣2(∣P∣−1)\tfrac34|P|^2(|P|-1), through the Cauchy--Schwarz inequality and the count of isosceles triangles, but its exported theorem erdos94 states only that some constant C≥0C\ge0, chosen after the set, has S(P)≤C∣P∣3S(P)\le C|P|^3, which holds for every finite set.

Depends on. No page of this wiki.

Standing. Claimed: no outside review is recorded, the site's commentary does not mention the file, and this corpus has not built it; the problem's standing rests on Lefmann and Thiele's accepted claim.