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erdos_826
Specification
Are there infinitely many $n$ such that, for all $k\geq 1$ $$ \tau(n + k) \ll k? $$
Lean 4 Statement
theorem erdos_826 : answer(sorry) ↔
∃ C > (0 : ℝ), { n | ∀ k ≥ 1, σ 0 (n + k) ≤ C * k }.Infinite
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