Skip to content

Erdős problem 453

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

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

Continue

Start a contributionBrowse the source filesOpen the collection entry

Search problems.science

Find a Problem, Result, source, or page