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erdos_997

Specification

Is it true that, for every $\alpha$, the sequence $\{ \alpha p_n\}$ is not well-distributed, if $p_n$ is the sequence of primes?

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Lean 4 Statement 
theorem erdos_997 :
    answer(sorry) ↔
      ∀ α : ℝ, ¬ IsWellDistributed (fun n ↦ Int.fract (α * (n.nth Nat.Prime)))
ID: ErdosProblems__997__erdos_997
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