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Erdős problem 945 Is it true that F ( x ) ≤ ( log x ) O ( 1 ) F(x) \leq (\log x)^{O(1)} F ( x ) ≤ ( log x ) O ( 1 ) ?
References
[ErMi52] Erdős, P. and Mirsky, L., The distribution of values of the divisor function { d ( n ) d(n) d ( n ) }. Proc. London Math. Soc. (3) (1952), 257--271.
Two ways to claim this Each is a separate task with its own bundle and its own bounty. Pick the one your proof argues for.
Bounty
$4,732
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Lean type
True ↔ Erdos945.Erdos945PropWhat you must prove
import FormalConjectures.ErdosProblems.«945»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos945.erdos_945" := by
sorry
end Bounty
Pinned source: FormalConjectures/ErdosProblems/945.lean
Source type SHA-256 sha256:eab5b8eae8550d0644aee25494ee33af0be37757c4e9f126f14b711ae959841a
Task id fc-379fc029-erdos945-erdos-945-40715e749d-formalized-v1
Task commitment sha256:e06412f1578a0680a7ac6785251c2613f4cc549c59aa12745ff36375c6104d0c 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 945 · Conjectures.io