The number to be tested is: 1.062550805496255938
This number arises in the study of generalized Zeta functions on non associative sets.
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The request was sent by Michael Mossinghoff on Fri Feb 9 14:40:28 PST 1996
The email address is: mjm@math.appstate.edu
The number to be tested is: 1.296210659593309 (see below for 2500 digits of it).
As I mentioned in the original note, it would be interesting to see if this number satisfies a simple polynomial of degree > 34. The simplest polynomial I know of that it satisfies is
x^38-x^36-x^34-x^29+x^28-x^24-x^14+x^10-x^9-x^4-x^2+1
I found this during a search for polynomials with height 1, degree 38, and
Mahler measure < 1.3.
I also have a second new Salem number that would be interesting to try.
Thanks for running this!