STATUS
proposed
approved
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Revision History for A131671
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Decimal expansion of prime analog of the Kepler-Bouwkamp constant: Product_{k>=2} cos(Pi/prime(k)).
(history; published version)
(history; published version)
STATUS
editing
proposed
LINKS
Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, arXiv:2001.00578 [math.HO], 2020, p. 62.
R. J. Mathar, <a href="http://arxiv.org/abs/1301.6293">Tightly circumscribed regular polygons</a>, arXiv:1301.6293 [math.MG], 2013.
STATUS
approved
editing
STATUS
editing
approved
LINKS
Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants</a>, p. 62.
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
LINKS
A. Adrian R. Kitson, <a href="httphttps://arXivwww.jstor.org/abs/math.HOstable/060818627821786">The prime analog of the Kepler-Bouwkamp constant</a>, arXiv:math/0608186 and The Mathematical Gazette , Vol. 92: , No. 293 (2008), pp. 293-295, <a href="http://arxiv.org/abs/math.HO/0608186">preprint
FORMULA
productProduct_{p odd primes pprime} cos(Pi/p) where Pi = 3.14159...
The log of this constant is equal to Sum_{k>=1} (1 - 2^(2*k))*zeta(2*k)/k * (P(2*k) - 1/2^(2*k)), where P(s) is the prime zeta function. - Amiram Eldar, Aug 21 2020
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed