(Finch, p95), which ISC teases is -1/2 - i ( 5*Zeta[3]/2 - 6*EulerGamma/5 - 9*Log[3]/5 -1.52145483*10^-8) We need a few more digits to rule this out. We can probably get them from Victor Miller>Also, the following paper "Zeta Expansions of Classical Constants" (for some reason never published): http://algo.inria.fr/flajolet/Publications/landau.ps < This is a bit hard to find, even under its current title "Zeta Function Expansions of Classical Constants". (Firefox absquatulated before I could grab URL.) But caution: Eqn (10) is almost certainly a copy&paste blunder from eqn (6). I.e., -1/1^m - ... - 1/(n0-1)^m should be -1/p_1^m - ... - 1/p_{n0-1}^m . On Sun, Jun 2, 2013 at 10:58 AM, Mike Stay <metaweta@gmail.com> wrote: http://mathworld.wolfram.com/PrimeProducts.html Lots of fun stuff here, like prod(i=1, inf, p_i^s) = (2pi)^2s On Sat, Jun 1, 2013 at 9:04 PM, Bill Gosper <billgosper@gmail.com> wrote: [Alan Adler, of Aeropress fame] finds Euler's product over primes for zeta(s) somewhat magical, and wonders if we funsters know other really neat sums or products involving primes. Hence yesterday's "Minor twist". Otherwise, all I could remember was our Valentine's Day 2011 discussion of "Euler's crazy pi product". --rwg Consciously or not, I'll bet Steampunk was inspired by Hanna-Barbera's Flintstones. --rwg