Benkoski and Erdős [BeEr74](https://mathscinet.ams.org/mathscinet/relay-station?mr=347726) proved that the set of weird numbers has positive density.

Erdős problem 470

Benkoski and Erdős BeEr74 proved that the set of weird numbers has positive density.

The source's own material, retained exactly.

8 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

470.lean

Retained formal statement3 of 8

If there are no odd weird numbers then every weird number has abundancy index < 4.

FormalConjectures/ErdosProblems/470.leanErdos470.erdos_470.variants.abundancy_index1 lineExact file

1(∀ (n : ℕ), n.Weird → ¬Odd n) → ∀ (n : ℕ), n.Weird → Erdos470.AbundancyIndex n < 4

SolvedStatement only, no proof