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Erdős problem 264

Kovač and Tao [KoTa24] generally proved that any strictly increasing sequence of positive integers ana_n such that 1an\sum \frac{1}{a_n} converges and lim infn(an2k>n1ak2)>0 \liminf_{n \to \infty} (a_n^2 \sum_{k > n} \frac{1}{a_k^2}) > 0 is not an irrationality sequence.

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No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/264.lean

Formal Conjectures

FormalConjectures/ErdosProblems/264.leanErdos264.erdos_264.parts.i1 lineExact file
¬Erdos264.IsIrrationalitySequence fun x => 2 ^ x
SolvedStatement only, no proofformal statement reference

Proof manifests naming this Problem

  • PLBY Lean proofsErdosProblems.Erdos264
  • PLBY Lean proofsErdosProblems.Erdos264b

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

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