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Erdős problem 33

Let A ⊆ ℕ be a set such that every integer can be written as n^2 + a for some a in A and n ≥ 0. What is the smallest possible value of lim sup n → ∞ |A ∩ {1, …, N}| / N^(1/2)?

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FormalConjectures/ErdosProblems/33.lean

Formal Conjectures

FormalConjectures/ErdosProblems/33.leanErdos33.erdos_331 lineExact file
A, Filter.limsup (fun N => ↑(↑ASet.Icc 1 N).ncard / ↑√↑N) Filter.atTop = sorry
OpenStatement only, no proof

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