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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.
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
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