Back to Problems

erdos_940.variants.three_powerful

Specification

Heath-Brown [He88] has proved that all large numbers are the sum of at most three $2$-powerful numbers. [He88] Heath-Brown, D. R., Ternary quadratic forms and sums of three square-full numbers. (1988), 137--163.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement
theorem erdos_940.variants.three_powerful :
    ∀ᶠ x in atTop, ∃ (S : Multiset ℕ), S.card ≤ 3 ∧ (∀ s ∈ S, (2).Full s) ∧ x = S.sum
ID: ErdosProblems__940__erdos_940.variants.three_powerful
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.