Definition:Artin's Constant

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Definition

\(\ds C_{\text {Artin} }\) \(=\) \(\ds \prod_{\text {$p$ prime} } \paren {1 - \dfrac 1 {p^2 - p} }\)
\(\ds \) \(=\) \(\ds 0 \cdotp 37395 \, 58136 \, 19202 \, 28805 \ldots\)

This sequence is A005596 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Source of Name

This entry was named for Emil Artin.


Sources