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Erdős problem 125

Case 3: Does A+BA + B have positive upper and lower density that are equal? This is the literal interpretation of "positive density" which was falsified.

No current result

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

Retained declaration

FormalConjectures/ErdosProblems/125.lean

Formal Conjectures

FormalConjectures/ErdosProblems/125.leanErdos125.erdos_1251 lineExact file
False ↔ ({x | (Nat.digits 3 x).toFinset ⊆ {0, 1}} + {x | (Nat.digits 4 x).toFinset ⊆ {0, 1}}).HasPosDensity
SolvedProof has a holeformal conjecturesexternal 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:125
  • PLBY Lean proofsErdosProblems.Erdos125

Reported activity

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

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