Backhouse's Constant
Let 
be defined as the Power series whose 
th term has a Coefficient equal to the th Prime,
and let
be defined by
Then N. Backhouse conjectured that
The constant was subsequently shown to exist by P. Flajolet.
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/backhous/backhous.html
- Polyabolo
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- Polygamma Function
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- Polygon Circumscribing Constant
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