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
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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.
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