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erdos_252.variants.schinzel

Specification

If Schinzel's conjecture is true, then `∑ σ k n / n!` is irrational for all `k`. This is proved in [ScPu06].

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Lean 4 Statement 
theorem erdos_252.variants.schinzel (hs : ∀ (fs : Finset (Polynomial ℤ)),
    (∀ f ∈ fs, BunyakovskyCondition f) → SchinzelCondition fs →
    Infinite ↑{n | ∀ f ∈ fs, Prime (Polynomial.eval (↑n) f).natAbs}) :
    ∀ k, Irrational (erdos_252_sum k)
ID: ErdosProblems__252__erdos_252.variants.schinzel
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