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Erdős problem 385 - part i Let F ( n ) : = max { m + p ( m ) ∣ m < n composite } } F(n) := \max\{m + p(m) \mid \textrm{$m < n$ composite}\}\} F ( n ) := max { m + p ( m ) ∣ m < n composite }} where p ( m ) p(m) p ( m ) is the least
prime divisor of
. Is it true that
for all sufficiently large
?
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Lean type
True ↔ ∀ᶠ (n : ℕ) in Filter.atTop, n < Erdos385.F nWhat you must prove
import FormalConjectures.ErdosProblems.«385»
import TaskSupport
namespace Bounty
theorem target : ¬ (fcTypeOfName% "Erdos385.erdos_385.parts.i") := by
sorry
end Bounty
Pinned source: FormalConjectures/ErdosProblems/385.lean
Source type SHA-256 sha256:6440e8bf5cb37389edca28e922f1603e538fa825b16be9146f143ef184653064
Task id fc-379fc029-parts-i-8b3385e8e0-counterexample-v1
Task commitment sha256:ea26022027363372655d4a1078a397a7180e1399c907d31ce4e8ab2dc2e00c9e Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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Erdős problem 385 - part i · Conjectures.io