Erdős Problem #662
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Statement
Among sufficiently large one-separated planar point sets, does the triangular lattice maximize the number of distances below each threshold? Explicit rational oblique lattices beat the triangular lattice under several closed- and strict-shell readings.
Context
natural readings of the ambiguous historical statement are disproved
A numbered problem from the Erdos catalog: real and documented, with a specialist audience. Checked against erdosproblems.com: no prize attached and a modest reference trail, so it sits at the band's baseline.
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Attempts
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Produced by the GPT-5.6 starships pipeline with Claude Fable 5 as reviewer.
natural readings of the ambiguous historical statement are disproved
Reviews
0 human reviews · 1 machine checkNo person has reviewed this attempt. 1 machine check below — a machine check is not human verification.
Machine check · not human verification
machine: correctscope Lean formalization of the result
Finite certificates and variant statements Lean-checked; community status pending.
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Discussion of this attempt
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Discussion
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