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Erdős problem 1064

Let ϕ(n)ϕ(n) be the Euler's totient function, then the nn satisfies ϕ(n)>ϕ(nϕ(n))ϕ(n)>ϕ(n - ϕ(n)) have asymptotic density 1. Reference: [LuPo02] Luca, Florian and Pomerance, Carl, On some problems of {M}\polhk akowski-{S}chinzel and {E}rdős concerning the arithmetical functions {ϕ\phi} and {σ\sigma}. Colloq. Math.

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1064.lean

Retained formal statement1 of 3

Let ϕ(n)ϕ(n) be the Euler's totient function, then the nn satisfies ϕ(n)>ϕ(nϕ(n))ϕ(n)>ϕ(n - ϕ(n)) have asymptotic density 1. Reference: [LuPo02] Luca, Florian and Pomerance, Carl, On some problems of {M}\polhk akowski-{S}chinzel and {E}rdős concerning the arithmetical functions {ϕ\phi} and {σ\sigma}. Colloq. Math.

FormalConjectures/ErdosProblems/1064.leanErdos1064.erdos_10641 lineExact file
{n | n.totient > (n - n.totient).totient}.HasDensity 1
SolvedStatement only, no proof

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