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erdos_416.variants.Erdos
Specification
Let `V(x)` count the number of `n≤x` such that `ϕ(m)=n` is solvable. Erdős proved V(x)=x(logx)^(−1+o(1)). Ref: Erdős, P., _On the normal number of prime factors of $p-1$ and some related problems concerning Euler's $\varphi$-function._
Lean 4 Statement
theorem erdos_416.variants.Erdos : ∃ f : ℝ → ℝ, f =o[atTop] (1 : ℝ → ℝ) ∧
∀ᶠ x in Filter.atTop, V x = x * x.log ^ (-1 + f x)
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