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erdos_258.variants.Constant

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Is $\sum_n \frac{d(n)}{t^n}$ irrational, where $t ≥ 2$ is an integer. Solution: True (proved by Erdős, see Erdős Problems website)

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Lean 4 Statement
theorem erdos_258.variants.Constant : answer(True) ↔ ∀ t ≥ (2 : ℕ),
    Irrational (∑' (n : ℕ), ((n + 1).divisors.card / t^n))
ID: ErdosProblems__258__erdos_258.variants.Constant
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