-----------------------------------------------

The request was sent by (Mr.) B.J. Mares on Sat Dec 9 19:10:27 PST 1995
The email address is: bjmares@teleport.com

The number to be tested is:

.86224012586805457155779028324939457856576474276829909451607121455730674059051645804203844143861813$
451257229030330958513908111490904372705631904836799517334609935566864203581911199877725969528883243$

Another binary pattern.

---------------------------------------------------------

The request was sent by Jon Borwein on Sun Nov 5 06:09:28 GMT 1995
The email address is: jborwein@cecm.sfu.ca

The number to be tested is:
.01118680003287710787004681

The number of correct digits in the number:
20

The test(s) to be performed on the number:
algebraic

--------------------------------------------------------

1.456791031046907

The number of correct digits in the number:
16

The test(s) to be performed on the number:
algebraic
gamma_multiplicative
gamma_additve
zeta_multiplicative
zeta_additive
psi_digamma
linear_dependence_salvage

The hints given by the user:

p(0)=1
q(0)=2

p(i+1)=sqrt(p(i)*q(i)) i = 0,1,2,..
q(i+1)=(p(i) + q(i))/2 i = 0,1,2,..

x = lim p(i) = lim q(i)
i->+inf i->+inf

--------------------------------------------------------

The request was sent by Olivier Gerard on Mon Jan 29 18:48:42 PST 1996
The email address is: quadrature@onco.techlink.fr

The number to be tested is:
1.062550805496255938

This number arises in the study of generalized Zeta functions
on non associative sets.

--------------------------------------------------------

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!

Best regards,

Mike Mossinghoff
mjm@math.appstate.edu

1.2962106595933092168517831791253754042307237363926176836463419715400357507663\
555372700460810162259842255