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erdos_647.variants.lim
Specification
Erdős says 'it is extremely doubtful' that there are infinitely many such $n$, and in fact suggests that $$ lim_{n\to\infty} \max_{m < n}(\tau(m) + m − n) = \infty. $$
Lean 4 Statement
theorem erdos_647.variants.lim :
answer(sorry) ↔ atTop.Tendsto (fun n ↦ ⨆ m : Fin n, σ 0 m + m - n) atTop
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