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erdos_304.variants.upper_1985
Specification
In 1985 Vose [Vo85] proved the upper bound $$N(b) \ll \sqrt{\log b}$$. [Vo85] Vose, Michael D., Egyptian fractions. Bull. London Math. Soc. (1985), 21-24.
Lean 4 Statement
theorem erdos_304.variants.upper_1985 :
(fun b => (smallestCollectionTo b : ℝ)) =O[atTop]
(fun b => Real.sqrt (Real.log b))
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