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Apr 21, 2010 at 19:38 comment added graveolensa The original product came up from investigating $\sum_{n=2}^{\infty} -\zeta'(n)$, that is if you exponentiate that you get the first product. The second product arose from trying to generalize $\prod_{n=1}^{\infty} \sqrt[2^{n}]{1+\frac{1}{2^{n}}}$. The number that arose from the computation looked fishy, and I checked my notes, and was stunned to see many digits agreeing. After some more numerical testing and a bout of frustrated algebra I decided to throw it here.
Apr 21, 2010 at 18:31 history answered Mariano Suárez-Álvarez CC BY-SA 2.5