OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin constant, p. 135.
LINKS
Robert A. Van Gorder, Glaisher-type products over the primes, International Journal of Number Theory, Vol. 8, No. 2 (2012), pp. 543-550.
Eric Weisstein's World of Mathematics, Glaisher-Kinkelin Constant.
FORMULA
Equals Product_{k>=1} k^(1/k^2). - Vaclav Kotesovec, Dec 10 2017
Equals (Product_{k>=1} prime(k)^(1/(prime(k)^2-1)))^(Pi^2/6) (Van Gorder, 2012). - Amiram Eldar, Jul 22 2022
Equals exp(-zeta'(2)). - Vaclav Kotesovec, Jun 22 2023
EXAMPLE
2.5537126827482090529...
MATHEMATICA
RealDigits[(Glaisher^12/(2Pi E^EulerGamma))^(Pi^2/6), 10, 100][[1]] (* Vaclav Kotesovec, Aug 15 2015 after Eric W. Weisstein *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 25 2006
STATUS
approved