erdős #509
Let be a monic non-constant polynomial. Can the setbe covered by a set of circles the sum of whose radii is ?
Worked, still open.
analysis · open · formalized (Lean) · 0 attempts
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vela registry pull vfr_37aec80d874a0239vela reproduce examples/erdos-problemsevidence
unverified AI candidates (2)
gpt-erdos · GPT-5.2 Pro + Deep Research · unverified
Interpreting “circles” in the usual way in this context [[nomath]](closed discs in $\mathbb C$)[[/nomath]], the statement with **total radius (\le 2)** is **not known in general**: it is a classical open problem of Erdős [[nomath]](often presented as an “improve Cartan’s constant to $2$” question)[[/nomath]]. ([Erdős P…
candidate solution ↗llm-hunter · gpt pro 5.2 · unverified
1 LLM attack(s) recorded (gpt pro 5.2); unverified.
candidate solution ↗formal
AMS 54 · api (literature)
lemma BoundedDiscCover.bound_nonneg_of_nonempty
(S : Set M) (hS : S.Nonempty) (r : ℝ) (ι : Type v)
(bdc : BoundedDiscCover S r ι) :
0 < rformal-conjectures/509.lean ↗status
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