Erdős problem 796

If $g_3(n)$ is the largest size of $A \subseteq [1,n]$ with fewer than three representations of every product $a_1 a_2$ , does its conjectured second-order normalized term converge? The candidate proof gives an explicit limit constant.

No current result

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

FormalConjectures/ErdosProblems/796.lean

Formal Conjectures

FormalConjectures/ErdosProblems/796.leanErdos796.erdos_7961 lineExact file

1True ↔ ∃ c, Filter.Tendsto Erdos796.normalizedError Filter.atTop (nhds c)

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.

Reported by these sources. Not reviewed here.