TITLE: Is the Landau-Ramanujan constant irrational?
QUESTION [7 upvotes]: Hi, here, in wikipedia, the Landau-Ramanujan constant appears under a list of suspected transcendentals. I could not find anywhere a statement or a proof of it's irrationality. So, my question is, is the constant irrational( since it's under a list of suspected transcendentals, is it right to assume that it is irrational?) And if it is, is there a proof available? 
Thanks in advance.

REPLY [3 votes]: This is not a definitive answer, just a few links.
This link of "important irrational constants" lists it as irrational, without a citation.
The Encyclopedia of Integer Sequences has quite a few references at the page for Landau-Ramanujan, one or more of which may contain what you seek.