AI-assisted disproof of the Erdős unit-distance conjecture
The human-verified writeup gives a fixed ε>0 and growing planar point sets with at least n^(1+ε) unit distances.
Original report: 2026-05-20The Erdős unit-distance conjecture
How many pairs among n planar points can be exactly one unit apart?
Progress records 1
Understand the problem ↓1 record · How we rate progress
Understanding the problem
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How many pairs among n planar points can be exactly one unit apart?
Why it matters
A precise target for comparing mathematical claims, their baselines, and the documented contribution of AI.
What counts as progress
A sourced theorem, construction, algorithm, bound, or substantive formalization with its assumptions and AI role stated.
What to watch for
- Check the exact hypotheses and compare with the stated prior baseline.
- Distinguish a source claim, an available proof, and a reproduced verification.
- Retain human contributions, competing work, corrections, and withdrawals.
Background review: 2026-10-11. Selected sources:
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