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

© 1996-9

1999-05-26