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erdos_409.variants.sigma.parts.ii

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Is it true that iterates of $n\mapsto\sigma(n) - 1$ always reach a prime?

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Lean 4 Statement
theorem erdos_409.variants.sigma.parts.ii :
    answer(sorry) ↔ ∀ n > 1, ∃ i, (σ 1 · - 1)^[i] n |>.Prime
ID: ErdosProblems__409__erdos_409.variants.sigma.parts.ii
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