Skip to content

Erdős problem 968

Does the set {n | u n < u (n+1)} have positive lower density?

Sources

The source's own material, retained exactly.

5 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

968.lean

Retained formal statement4 of 5

Erdős asked whether there are infinitely many solutions to uₙ < uₙ₊₁ < uₙ₊₂.

FormalConjectures/ErdosProblems/968.leanErdos968.erdos_968.variants.infinite_increasingTriples1 lineExact file
sorry ↔ {n | Erdos968.u n < Erdos968.u (n + 1) ∧ Erdos968.u (n + 1) < Erdos968.u (n + 2)}.Infinite
OpenStatement only, no proof