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Sarnak's Constant

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Sarnak's constant is the constant

C_(Sarnak)=product_(p>=3)(1-(p+2)/(p^3))
(1)
=0.7236484022...
(2)

(OEIS A065476), where the product is over the odd primes.

See also

Artin's Constant, Barban's Constant, Feller-Tornier Constant, Heath-Brown-Moroz Constant, Murata's Constant, Prime Products, Quadratic Class Number Constant, Taniguchi's Constant, Twin Primes Constant

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References

Niklasch, G. "Some Number-Theoretical Constants." https://guests.mpim-bonn.mpg.de/moree/Moree.en.html.Sarnak, P. C. "Class Numbers of Indefinite Binary Quadratic Forms II." J. Number Th. 21, 333-346, 1985.Sloane, N. J. A. Sequence A065476 in "The On-Line Encyclopedia of Integer Sequences."

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Sarnak's Constant

Cite this as:

Weisstein, Eric W. "Sarnak's Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SarnaksConstant.html

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