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Heath-Brown-Moroz Constant

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The Heath-Brown-Moroz constant is defined by

C_(Heath-Brown-Moroz)=product_(p)(1-1/p)^7(1+(7p+1)/(p^2))
(1)
=0.00131764115...
(2)

(OEIS A118228), where the product is taken over the primes p.

See also

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

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References

Finch, S. R. Mathematical Constants. Cambridge, England: Cambridge University Press, p. 106, 2003.Heath-Brown, D. R. and Moroz, B. Z. "The Density of Rational Points on the Cubic Surface X_0^3=X_1X_2X_3." Math. Proc. Cambridge Philos. Soc. 125, 385-395, 1999. https://doi.org/10.1017/S0305004198003089.Niklasch, G. "Some Number-Theoretical Constants." https://guests.mpim-bonn.mpg.de/moree/Moree.en.html.Sloane, N. J. A. Sequence A118228 in "The On-Line Encyclopedia of Integer Sequences."

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Heath-Brown-Moroz Constant

Cite this as:

Weisstein, Eric W. "Heath-Brown-Moroz Constant." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Heath-Brown-MorozConstant.html

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