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Erdős problem / erdos

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Problem 410

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  1. vf_3e701e6483eb5dfb

    theoretical

    Erdős Problem #410: declared status 'open'. Formalized: yes. Let σ1(n)=σ(n)\sigma_1(n)=\sigma(n), the sum of divisors function, and σk(n)=σ(σk−1(n))\sigma_k(n)=\sigma(\sigma_{k-1}(n)). Is it true thatlim⁡k→∞σk(n)1/k=∞?\lim_{k\to \infty} \sigma_k(n)^{1/k}=\infty? Prize: no. OEIS: A007497. Tags: iterated functions, number theory.

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