Erdős problem 940

Let $r \ge 3$ . Is it true that the set of integers which are the sum of at most $r$ $r$ -powerful numbers has density $0$ ?

Sources

The source's own material, retained exactly.

5 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

940.lean

Retained formal statement2 of 5

It is not known if all large integers are the sum of at most $r$ -many $r$ -powerful numbers.

FormalConjectures/ErdosProblems/940.leanErdos940.erdos_940.variants.large_integers1 lineExact file

1True ↔ ∀ r ≥ 2, ∀ᶠ (x : ℕ) in Filter.atTop, ∃ S, S.card ≤ r ∧ (∀ s ∈ S, r.Full s) ∧ x = S.sum

OpenStatement only, no proof