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Erdős problem 453

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Is it true that, for all sufficiently large nn, there exists some i<ni<n such that pn2<pn+ipn−i, p_n^2 < p_{n+i}p_{n-i}, where pkp_k is the kkth prime?

No current result

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

Retained declaration

FormalConjectures/ErdosProblems/453.lean

Formal Conjectures

FormalConjectures/ErdosProblems/453.leanErdos453.erdos_4531 lineExact file
False ↔ Erdos453.EventuallyHasPrimeWitness
SolvedProof has a holelean4external proof

The proof uses `sorry`: part of the argument is written but not proved. Lean accepts the file; it does not accept the theorem.

Proof manifests naming this Problem

  • Jayyhk Erdős Leanjayyhk:erdos:453
  • PLBY Lean proofsErdosProblems.Erdos453

Reported activity

Reported by these sources. Not reviewed here.

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