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Formula:8697

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Digital Library of Mathematical Functions ID 27.3.E3

ϕ ⁡ ( n ) = n ⁢ ∏ p | n ( 1 - p - 1 ) , Euler-totient-phi 𝑛 𝑛 subscript product divides 𝑝 𝑛 1 superscript 𝑝 1 {\displaystyle{\displaystyle\phi\left(n\right)=n\prod_{p\mathbin{|}n}(1-p^{-1}% ),}}


Constraint(s)

Symbols List

  • ϕ ⁡ ( n ) Euler-totient-phi 𝑛 {\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}} : Euler’s totient
  • n 𝑛 {\displaystyle{\displaystyle n}} : positive integer
  • p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}} : prime numbers
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This page was last edited on 28 January 2024, at 10:30.
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