Back to Problems

erdos_940.variants.large_integers

Specification

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

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement
theorem erdos_940.variants.large_integers :
    answer(sorry) ↔
    ∀ r ≥ 2, (∀ᶠ x in atTop, ∃ (S : Multiset ℕ), S.card ≤ r ∧ (∀ s ∈ S, r.Full s) ∧ x = S.sum)
ID: ErdosProblems__940__erdos_940.variants.large_integers
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.