Erdős problem 940 · problems.science

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 $0$ ?

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5 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

940.lean

Retained formal statement5 of 5

The set of integers which are the sum of at most two $2$ -powerful numbers has density $0$ .

FormalConjectures/ErdosProblems/940.leanErdos940.erdos_940.variants.two1 lineExact file

1{n | ∃ S, S.card ≤ 2 ∧ (∀ s ∈ S, Nat.Full 2 s) ∧ n = S.sum}.HasDensity 0

SolvedStatement only, no proof